ࡱ> @B?t#` 0bjbjmm *l(%vvv8vl6w|3wx"xxxyyy$ݻhE{yy{{xxչ"{xx{.^HBxw H6vr|@ <3\Ǿ>~`ǾBǾBLy?z^zLzyyyXyyy3{{{{d0H-H Ch4 Ex) #1. Consider the following data. The random variable X represent the number of days patients stayed in the hospital. Calculate Relative Frequency Probabilities. Number of days stayed(X) Frequency 3 15 4 32 5 56 6 19 7 5 #2. Simulate 50 births, where each birth results in a boy or girl. a) Sort the results, count the number of girls. b) Based on the result in (a), calculate the probability of getting a girl when a baby is born. c) The probability obtained in (b) is likely to be different from 0.5. Does this suggest that the computers random number generator is defective? Why or why not? #3. a) Simulate rolling a single die by generating 5 integers (5 trials) between 1 and 6. Count the number of 3s that occurred and divide that number by 5 to get the empirical probability. Based on 5 trials, what is the probability of getting 3s? b) Repeat (a) for 25 trials. What is the probability of getting 3s? c) Repeat (a) for 50 trials. What is the probability of getting 3s? d) Repeat (a) for 100 trials. What is the probability of getting 3s? e) Repeat (a) for 500 trials. What is the probability of getting 3s? f) In your own words, generalize these results in a restatement of the Law of Large Numbers. How to Do it: Calculate Relative Frequency Probabilities from the table 1. In C1 enter the values of X and name the column X. 2. In C2 enter the frequencies and name the column f. 3. Select Calc>Calculator. 4. Type Px in the box for Store result in variable:. 5. Click in the Expression box, then double-click C2 f and click the division operator. 6. Find Sum in the function list and click Selecton. 7. Double-click C2 f . (You should see f/Sum(f) in the Expression box.) 8. Click OK. Calculate Relative Frequency Probabilities from the original data in a worksheet. 1. Click Stat>Tables>Tally Individual Variables 2. Select the column needed (i.e. C1) in the Variables: 3. For Display click Counts and Percents. Random Data 1. Click on Calc>Random Data>Integer 2. You will generate_____ rows of data (enter the amount of rows you want) 3. Store in a column (C1) or columns (C1-C10). 4. Minimum Value: enter minimum, for instance, the minimum for of a die is 1 5. Maximum Value: for instance, the maximum number for a die is 6 Ch5 Ex) #1. It is known that 5% of the population is afraid of being alone at night. If a random sample of 20 Americans is selected, what is the probability that exactly 5 of them are afraid? #2. If 63% of all women are employed outside the home, (a) create a binomial table for a sample of 20 women; (b) use the binomial table to find the probability that at least 10 are employed outside the home. #3. For the following probability distribution table, (a) find the mean and standard deviation; (b) draw a graph for the distribution. x 0 1 2 3 4 P(x) 0.12 0.20 0.31 0.25 0.12 Calculating Binomial Probability Select Calc>Probability Distribution>Binomial. Click Probability. Enter Number of trials and probability of success. Click the Input constant and type in the value. Click OK Constructing a Binomial Distribution Select Calc>Make Patterned Data>Simple Set of Numbers. Store patterned data in C1. Enter the value of 0 for the first value and enter the value of n for the last value. Click OK Select Calc>Probability Distributions>Binomial. Choose Probability for the option and enter the value for the number of trials. Enter the value for the Probability of success. Check the button for Input columns then enter the column (i.e. C1). Enter the desired column for Optional Storage. Click OK. Finding Exact Values of  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  for a probability Distribution 1. Enter the values of X in C1 and enter the corresponding probabilities in C2. 2. Select Calc>Calculator 3. For  EMBED Equation.DSMT4 , enter the expression sum(C1 EMBED Equation.DSMT4 C2) and store result in C3. 4. Select Calc>Calculator 5. For  EMBED Equation.DSMT4 , enter the expression sqrt(sum(C1**2*C2)-C3**2) and store result in C4. Graph a Binomial Distribution Select Graph>Scatterplot, then Simple. Double-click on C2 Ps or the Y variable and C1 X for the X variable. Click [Data view], then Project lines, then [OK]. Deselect any other type of display that may be selected in this list. Type an appropriate title, such as Binomial Distribution n=20, p=0.05 Press Tab to the Subtitle 1, (you may type in Your Name) Optional: Click [Scales] then [Gridlines] then check the box for Y major ticks. Click [OK] twice. Ch6 Ex) #1. Central Limit Theorem Simulate 200 random samples of size 25 from a normally distributed population with a mean of 56 and a standard deviation of 12. Determine the sample mean of each of the 200 samples. Construct a histogram of the 200 sample means. Does it appear to be normally distributed? Compute descriptive statistics for the 200 sample means. What is the mean of the 200 sample means? Is it close to the population mean? Should it be? What is the standard deviation of the 200 sample means? Is it close to the population standard deviation? Should it be? #2. Find the Area to the left of Z=1.39 #3. Find the z value for a cumulative probability of 0.025. How to Do it: Generating N Random Samples of size K from a Normally Distributed Population 1. Calc>Random Data>Normal 2. Generate_____ rows of data (enter the number of samples) 3. Store in a column C1-CK (Here K is the sample size) 4. Enter Mean and Standard Deviation. 5. Click OK. Checking Data for Normality: Click on Stat > Basic Statistics >Display Descriptive Statistics Double-click on the column intended as the Variables Click Graphs and then click the Histogram of data, with normal curve, check the box Click OK twice Determining Cumulative Probabilities for Normal Distribution: - Click on Calc > Probability Distributions > Normal - Chose Cumulative probability - Type in Mean and the Standard Deviation - Check Input Constant, enter in the number - Click OK Inverse Cumulative Probabilities for Normal Distribution: Calc > Probability Distributions > Normal Check in the box Inverse Cumulative Probability Type in Mean and the Standard Deviation Check Input Constant, enter in the number Click OK Ch4 #1. Relative Frequency Probabilities. Number of days stayed(X) Frequency(f) Px 3 15 0.118110 4 32 0.251969 5 56 0.440945 6 19 0.149606 7 5 0.039370 #2. Simulate 50 births, where each birth results in a boy or girl. Tally for Discrete Variables: C1 C1 Count Percent 0 29 58.00 1 21 42.00 N= 50 a) 21Girls(Answers vary.) 1s for baby girls and 0s for baby boys b) 21/50=42 c) No, 0.5 is only the theoretical probability. As the number of trials increases, the empirical probability of an event will approach the theoretical probability. #3. a) C2 Count Percent 2 1 20.00 3 1 20.00 4 1 20.00 6 2 40.00 N= 5 Tally for Discrete Variables: C3 b) C3 Count Percent 1 6 24.00 2 4 16.00 3 5 20.00 4 1 4.00 5 5 20.00 6 4 16.00 N= 25 c) Tally for Discrete Variables: C4 C4 Count Percent 1 10 20.00 2 11 22.00 3 6 12.00 4 8 16.00 5 6 12.00 6 9 18.00 N= 50 d) Tally for Discrete Variables: C5 C5 Count Percent 1 22 22.00 2 15 15.00 3 11 11.00 4 13 13.00 5 23 23.00 6 16 16.00 N= 100 e) Tally for Discrete Variables: C6 C6 Count Percent 1 81 16.20 2 74 14.80 3 74 14.80 4 84 16.80 5 105 21.00 6 82 16.40 N= 500 (Extra for N=1000) Tally for Discrete Variables: C7 C7 Count Percent 1 160 16.00 2 154 15.40 3 167 16.70 4 168 16.80 5 177 17.70 6 174 17.40 N= 1000 f) Law of large numbers: when a probability experiment is repeated a large number of times, the relative frequency probability of an outcome will approach its theoretical probability. Ch5 #1. Calculating Binomial Probability Binomial with n = 20 and p = 0.05 x P( X = x ) 5 0.0022446 (0.002 using the binomial distribution table) 2. Constructing a binomial Distribution a. Binomial with n = 20 and p = 0.63 X P(X) 0 0.000000 1 0.000000 2 0.000001 3 0.000013 4 0.000094 5 0.000513 6 0.002184 7 0.007437 8 0.020578 9 0.046719 10 0.087503 11 0.135446 12 0.172969 13 0.181240 14 0.154299 15 0.105090 16 0.055918 17 0.022403 18 0.006358 19 0.001139 20 0.000097 b. P(at least 10 are employed outside the home)= P(X=10)+ P(X=11)+ P(X=12)+ P(X=13)+ P(X=14)+ P(X=15)+ P(X=16)+ P(X=17)+ P(X=18)+ P(X=19)+ P(X=20)= 0.922462 3. a. X P(X) Mean SD 0 0.12 2.05 1.18638 1 0.20 2 0.31 3 0.25 4 0.12 b)  EMBED MtbGraph.Document  Ch6 Central Limit Theorem a. C26 b.  EMBED MtbGraph.Document  Yes, it appears to be normally distributed. c. Descriptive Statistics: SM Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 SM 200 0 56.012 0.160 2.262 50.125 54.564 56.147 57.455 Variable Maximum SM 62.042 d.  EMBED Equation.DSMT4  Yes, it is close to  EMBED Equation.DSMT4 . yes, according to the Central Limit Theorem,  EMBED Equation.DSMT4  e.  EMBED Equation.DSMT4  No, it is not close to  EMBED Equation.DSMT4 . However, it is close to  EMBED Equation.DSMT4 . According to the Central Limit Theorem,  EMBED Equation.DSMT4  2. Cumulative Distribution Function Normal with mean = 0 and standard deviation = 1 x P( X <= x ) 1.39 0.917736 3. Inverse Cumulative Distribution Function Normal with mean = 0 and standard deviation = 1 P( X <= x ) x 0.025 -1.95996     PAGE  PAGE 3  t z @ J ; =   !WXYZ]^kz{ᥛyssmssmssyscmhXDhXD5CJ hXDCJ hkCJ hk5CJ hB5CJhkhk5CJhk56>*CJhJ56>*CJhJCJPJnHo(tHh^k;PJnHtHh [PJnHo(tHh%WMhLPJnHtHh%WMhJPJnHtHh%WMhJPJnHo(tHh%WM h%WMhJ hJCJ&s  T  o =  L , ^``00 #^|I-hCgd=gdk{>DFGHMNt~,-3ڻtmbVhRhR5CJaJhRhRCJaJ hRhRhBCJPJnHtHhRhR5CJPJnHtHhRCJPJnHtH hR5CJ hB5CJhkhB5CJ hg5CJHh˱hXDCJ hXD5CJHh˱h 1[CJ h7<<CJhXDhXD5CJ hXDCJhXDhk5CJ hkCJ!()89Lit}~޼޼޷~zumh2Lh+5 hF5h!n| h^k;hShpU h^k;hpU h^k;h_L h^k;h$RL h^k;h!n| h^k;h+ hJCJ hcBr5 hB5hghBCJaJhgh_LCJaJh,h,5CJaJhgh=CJaJhgh=5CJaJ h^k;5 hg5([8 79Sst~D & FgdF & Fgd_Lgd+gdpUgd!n|gd=BDJLNOPWtu|  2Y[ELYZrsxhjO`I h%WMh$RL5UVjh%WMh$RL5Uh%WMh$RL5 hthN4 htht ht5htht5hth h 5h h8Fhji5h8Fh 5 h]5h+hFhF5 hFhFhWfhFh_L5 hFh_L h2Lh+ h_L5%DOPu"+[NXYZ =DEc & Fgd>tKgd$RL-^-gdt & Fgd gd+ & FgdF-<GH_`abcdy|̽ܵܮܮyn`Snyj h%WMhT*EHUj `I h%WMhT*UVjh%WMhT*Uh%WMhT*5 h%WMhT*j\h%WMh$RLEHUjO`I h%WMh$RLUVjh%WMh$RLU h%WMh$RLh%WMhJ5jh%WMh$RL5EHUjk`I h%WMh$RL5UVh%WMh$RL5jh%WMh$RL5Ujh%WMh$RL5EHU CDj{$Ll)*+,/267@AXiû÷óì˥yryg` h^k;hh^k;hAW56>* h^k;h1 h^k;h5 h^k;h phL h^k;hL h1 CJ hJCJ hZ5CJ hT*5CJ h%WMh>tKhEW hEhEW h>tK5h>tKhT*h%WMhT*5j h%WMhT*EHUjk`I h%WMhT*UVjh%WMhT*U h%WMhT*#H*+,-./7Y6%AgdAW^gd5 & Fgd5gd1 gd$RL & Fgd>tKEFGUVbpqr| !6˿zogz[Rz[zh C5CJaJh^k;h C5CJaJhHCJaJh^k;hHCJaJh^k;h CCJaJh^k;h4XCJaJh^k;hAWCJaJh^k;hF5CJaJh^k;h=4g5CJaJh^k;hAW5CJaJh^k;h4X5CJaJ h=4g5CJhAW56>*CJhh^k;CJ hCJ h^k;hAW h^k;h h^k;hEFGUV7`ps ^ m n !K!!!gd & Fgd{gd{gd CgdAW6;<T]`aders   * N ] ^ d g l !!#!+!J!K!V!\!j!!!!!!! ")"1"Q"W"e"z"{"""⹭h^k;hCJaJh^k;h{5>*CJaJh^k;h{CJaJh^k;h{5CJaJh^k;hFCJaJh^k;h^k;CJaJhHCJaJh^k;hoWCJaJh^k;hAWCJaJh^k;h CCJaJh CCJaJ6!!!!)"Q"{"""""""""""""""##*#;#<## 7$8$H$gdV8>gdV8> & Fgd{gd{"""""### %C%H%}%%%%%=&`&&&&']'b'''((`(r(s((((')2)G)$*%****+,˽ܽ˽˽˽˽˽˽ܑ˽˽ hbhV8>CJOJQJ^JaJh0hV8>5# *h^hV8>CJOJQJ^JaJ# *h]FhV8>CJOJQJ^JaJhV8>CJOJQJ^JaJ hV8>5CJOJQJ\^JaJhV8> hV8>CJ hwCJ h{CJh^k;h{5>*CJaJ+########3$G$$%% %%4%I%^%s%}%~%%%%%7$8$H$^`gdV8>gdV8> 7$8$H$gdV8> 7$8$H$`gdV8>%%%%%&&.&8&9&=&_&`&s&&&&&&&&&&''*'='P'c' 7$8$H$gdV8>c'v'''''''''''((.(A(T(^(_(`(s(((((((( ) 7$8$H$gdV8> ))').))))))))))))))))$*%*G*H*V****gdV8> h^h`gdV8> 7$8$H$gdV8>******+++)+4+?+J+U+`+l+x+++++++++++,, 7$8$H$gdV8>,,, ,(,),1,2,:,;,C,D,L,M,U,V,^,_,g,h,p,q,y,z,,,,,,,,,,,,,"-#-=->-?-@-r-῭ᥡ{jhV8>Uj0L+J hV8>UVjf hV8>Uj*J hV8>UVhV8>jhV8>U# *hDohV8>CJOJQJ^JaJ hDohV8>CJOJQJ^JaJ h8hV8>CJOJQJ^JaJhV8>CJOJQJ^JaJ h#hV8>CJOJQJ^JaJ*,,,,,,,,,,,,,---"-A-m-r----%.&.8. h7$8$H$^hgdV8> & F7$8$H$gdV8> 7$8$H$gdV8>r-----.O.P.g.h.i.j................//ᲛynWSHjM+J hV8>UVhV8>-je'hDhV8>CJEHOJQJU^JaJjm*J hV8>UV-jd$hYhV8>CJEHOJQJU^JaJjvM+J hV8>UV-j!hYhV8>CJEHOJQJU^JaJjOM+J hV8>UV#jhV8>CJOJQJU^JaJ# *hLhV8>CJOJQJ^JaJhV8>CJOJQJ^JaJ hV8>5CJOJQJ\^JaJ8.J.K.l../////00!0304050c0d00000000000h^hgdV8>gdV8> 7$8$H$gdV8>/// //////6/7/8/9/T/U/l/m/n/o/r//////////Ȓ{ȽpYH hmthV8>CJOJQJ^JaJ-j4hhV8>CJEHOJQJU^JaJjl*J hV8>UV-j0hhV8>CJEHOJQJU^JaJjM+J hV8>UVj-hk hV8>EHUjM+J hV8>UVjhV8>UhV8> h7hV8>hV8>CJOJQJ^JaJ#jhV8>CJOJQJU^JaJ-j*hYhV8>CJEHOJQJU^JaJ///5090c0d00000000000000000000000000000ýhH40JmHnHuhH4 hH40JjhH40JUhGjhGU hcBrCJ hV8>CJhV8> hmthV8>hV8>CJOJQJ^JaJ hV8>5CJOJQJ\^JaJ#hmthV8>CJOJQJ\^JaJ"00000000000000000000000h]hgd2 &`#$gdB-0(/ =!"#$% Dd b  c $A? ?3"`?2o8'̰zl.axD`!o8'̰zl.ax*RxMQ=OA}lj" Q0ďXi0D SO%TRXOGXXhc6zF#.q};;f-рX*gG٤qa~z,F(5a  %3MTd~T}P6(Yho.D/K]w^SWo;{g-w b ~]<@ePyT(ŶF[՝l})N \uVb$6}wQfiGDry[+ B[+S'#(n[dŏָv9 b ~AB .UryvK{ھX8nbi%6kwQӵFiGDb9A8,oلt--TRוUҧ̔-O\S0ڃq:DQMT?X8Gu+L;͖[%?qFeąL/1y=FE AqDd b  c $A? ?3"`?2uk75y_lF `!uk75y_lF*`R!xMQ=OA}ǩ BcL #&vpCcyz* _0H%1?Bc6zVqv9ٙ73ogGbd11$gcoƅ `l@'Y:Wl؏ #g7,Jr >y[+ B[+S'#(n[dŏָv9 b ~AB .UryvK{ھX8nbi%6kwQӵFiGDb.(_Czw%{ͽg6}O7L*6%-](}rm.X붹-85`ׄi\ Upmvu`:ׅ\Wp}~ `7fTpcqM`&7 fVpsy-`Y fUpkum`69cJW\%Jp53;  !"#$%&'()*+,-./012345689:;<=>ADEFGHJILMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrsvwxyz{|}~Root EntryA Fi6CData 78WordDocument@*lObjectPoolCH6i6_1231063375FH6H6Ole CompObjiObjInfo !"#$'*+,/23458;<=>ADEFILMNOPSVWXY[\]^_`bcdefgi FMathType 5.0 Equation MathType EFEquation.DSMT49q}0$DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  mEquation Native _1231063403 FH6H6Ole CompObj i FMathType 5.0 Equation MathType EFEquation.DSMT49q}0,DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  sObjInfo Equation Native  _1231065098FH6H6Ole  FMathType 5.0 Equation MathType EFEquation.DSMT49q}DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  "*CompObjiObjInfoEquation Native _1244324886  =(hM(~H6H6Ole PRINTKPObjInfoContentsu0 FMathType 5.0 Equation MathType EFEquation.DSMT49q;' O( @ .--- $?----- $??---%??---- $I>$>IJ----- $IJ$J$>---%IXNX--%QXVX--%YX^X--%aXfX--%iXnX--%qXvX--%yX~X--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--% XX--%XX--%XX--%!X&X--%)X.X--%1X6X--%9X>X--%AXFX--%IXNX--%QXVX--%YX^X--%aXfX--%iXnX--%qXvX--%yX~X--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--%XX--% XX--%XX--%XX--%!X$X--%IN--%QV--%Y^--%af--%in--%qv--%y~--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--% --%--%--%!&--%).--%16--%9>--%AF--%IN--%QV--%Y^--%af--%in--%qv--%y~--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--% --%--%--%!$--%IN--%QV--%Y^--%af--%in--%qv--%y~--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--% --%--%--%!&--%).--%16--%9>--%AF--%IN--%QV--%Y^--%af--%in--%qv--%y~--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--%--% --%--%--%!$--%I N --%Q V --%Y ^ --%a f --%i n --%q v --%y ~ --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%   --%  --%  --%! & --%) . --%1 6 --%9 > --%A F --%I N --%Q V --%Y ^ --%a f --%i n --%q v --%y ~ --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%  --%   --%  --%  --%! $ --%IFNF--%QFVF--%YF^F--%aFfF--%iFnF--%qFvF--%yF~F--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--% FF--%FF--%FF--%!F&F--%)F.F--%1F6F--%9F>F--%AFFF--%IFNF--%QFVF--%YF^F--%aFfF--%iFnF--%qFvF--%yF~F--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--%FF--% FF--%FF--%FF--%!F$F-.."Tahoma  w)w 0w f- -!Xp2-.."Tahoma , w)w 0w f-!P !( !X !) -% J O--%JO--%7J7O--%JO--%cJcO--%I>$>--%IJ$J-.."Tahoma  w)w 0w f- -!4_--!3_--!2_3--!1_--!0__-%IXEX--%IE--%IE--%I E --%IFEF--%$J$>--%IJI>-- -!0_)!._0!3_4!0_;--!0)!.0!24!5;-!0)!.0!24!0;-!0)!.0!14!5;-!0M)!.M0!1M4!0M;-% . J--%J--%7L7J--%J--%b.bJ---2+--------P;I4--------2f+_--.."Tahoma P w)w 0w f- -!B$!i$!n$!o$!m$!i$!a$!l$! $!D$!i$!s$!t$!r$!i$!b$!u$!t$!i$ !o$%!n$.! $7!n$;!=$D!2$P!0$Z!,$d! $i!p$m!=$v!0$!.$!6$!3$--!Y4!o4 !o4!n4! 4!!Y4%!u4,!n43"System f &------Pࡱ>  Root Entry UKȷChartDataChartInfo[Compressed0Kȷ0KȷADDRI Cm14GraphDoc;ǀFȀF,@,@$Data $$|{V||r| #9P`2QN{"$T@dt` ab/( TVEUW(*( *rʋ}$$EPr*n-E΅ѹ2`y^̺eJ]Kq˖6տ۹ۗϙ[7,_S`0\I iy:M9Μ Hj'QI7Glx=\iP HHM[4TU ddhl\ :;:;5pk Z5kAc6kae냲bΥ4n  0Ap ]fj  Pvm@ p6a 1 ,kh1@u czyz{|]¢܉^$*Qkn~~$ۘ+vÉ!NII"6cy%'tOvq<S=E'-"AwOfPOJ7{?@Ս <3{r3s~3gwEβ3h ۂoPP_L &Z/Iee efJm 3/"K~E#g]"yj"o}H|vM"(94eE4 E4p̚FwFr844W_4Wn/7կ3䯉{FDu DDk҉MDRIprAߥe*i$jJ$j'(6IDyDܢEC+ 5 m-69d4\||c}%aAOH?71D{COʝZh,Z7Ih2:.?AC693btS3^$QvQ^4W,O]k=$kAGZ,joXV׆F\6hGHnXFqGsa.uWYUk=pae95nSTN9w\Xuu?-u Lۨ_5B|(my*BJl _A(p8ՏLMZS+z6N>Ǩ޽Q qay!^ e?`Y) L^wpbgxpcVUeepcKpc?N袑^:I ^0ǃ$^ʓ6ogDAvfҽ[a}_Z2]2ݻpl[plݧl6V' 2 N5%ݸL;X)է) Lָ26NS+oB9Lee<|+ycL9Lᜦpt#L5&pUwIUI{ƸI#&p]&p #FWI*pΓ,a&\17ʺL tp.?]~ɖ|k2fQ9:f^E3LOš3|( "*PR29;ʼ-/3^y(F^dc9ZuL[1 ?.y5:WX//B#(B!VFU%Bm\tʛz1,Aޘbm2Gqt>C<N˜kGv1U!h.VyD3տ*)YkwY~vD]T&ZC֦ 1! l1 _ IFA8h,"L}W|}JmH%L0Q]\!{v-X&ZT>IRPgOWzo^v]5am`n*X벩GqfpjVLu ]5p iezῩdRa8;ʱ75gΞ9@&7GZ{IʟjJ3dʳS4 [ؗ#vQsv =nƅ-3 b`-_,Ò1]DGsr3OH5վf-OkNŶd:|6vnx̦"ϲ\\(h6Q)~Ժem-X,D^P@Rrܬǝկm[xiY4 YRqrj\d6)[%Ɋٶg [R[_{|WiS+l99ur<∢mBPT5q qTd!TOuO7~y|U4xY-gB-|R^O]|YlGsx σ> ;˿m|)ˣHga~/#05 8Gk͘EM><ݬX`L-'+J^VeʧUN%&VPw.|b6wd7~oA ߃T<8'sF(-mƃA8JzًɃ.IA4 8PpA`iߢ0KPz`zpzzkŃ׃20h=?p8{0{@{P{`{p{{rA>mɃ*~X>?`9 >(>0>895TQ5߶ '+7t)d&$*fSK48ߋ.7,}V(tNWeXQ%| բnjه?_eNժқn?`4~X a9_pNϼG〙@ogS%Wa5B}]0swMNW1_8r?nUJ@#Y\?FJ AtDJS+~*?FX]W[yeQn?`4Lu3ϸVO]j:Io;L^1?1aQ\||ŀ9_*U˿i;E\ܯA|[,ӁLx?P8<uujA'G'U[oWϡN6~:5`u_ dĶ5^`de  `[d}vQic Pvm@ہ Ϻ5-5܁ P7@w`b4o@dv ;a4;2D0dSB{JňUrb)f3^=l{&V8'}":#sSs1':Ô,Ս78[3}IErvcE.bT ;ש/ka?OOoZan_ߤ׻'\o|%X~iy_` ?5 zla'0α75cl i liMd+Heoڟ$QH |lkA{?Dww?*a~e|{ҿb3_o¿foMN4~nBWvaNlx'_cY^ww??`^ ra-"]F͠XV:./"j5>/rw[00?yʷ*j3PXv67B\o|kA{?ۨW^r p-wT:Ww9.5כ]I=slGn~/(<ֱf]dI3R3ݺ惡sfהMvܛW QQ2՛Xa $d5y$&VڧJ E;i%¦#?]<a|XF<8CJLKkEy|zScW!}+U13t=UYr7%~Ncw(﷽e > pֱX-o1FS%vPCte{hHxȎR]CvQEf|LܹY1Z 6S9ғ%bC;Sw(w?ƽ'jf? u^=yX"-O[[+kjѮw{S2p^&+r2#G8y('72];72Iz.v+AvɃ|DbPx@xU2yaiŃ}ƱoHL(*85kA,6l: J>5 @`˃0 WJLNP' }X=`?|P8zfAحC_[o5km#_lnpݍy{ ߟx5Ƀ*~X>?`9 >(>0>893Z&3xU ,O6{SnλUԪmg @T p~buOۮ.E_<AVΫ/CWY榠M;6uB 2W^vh˙E1LZ \B0^3,zG=MB{xk:tPmha+gG;{BkC_CDQ#5`q?6p\/g8OTbZ{pŞ晉K⸟pY\Tj?jrmȿjL 2y" 4>yCU*",Ppy=ؕs{8(OhE⅞Ƙf۫K,r/8]Ht7GzG;[92QI`}Ԍ+R40sW)Ϩ5lv.2~ʉٽU^vUfWovΝ46xKֳǕTe0v@^Ӟ؟ ??BKW/ghI^'lj߯)7R#OB-lKՑƟ6hh3v6*edǭF*hE33s%k?ߗw?n1]X>Tov+j?SyBb+hSFv6EsٸL:mn8}/]_G[ഓ5.Q?m& Kn\{?.ǿ/m~S;k҂-V{dk\ys tW=/~(.S3n 9ń7rG*iӋO A;Bn_o!\SU\E} :j?v Hҁ`@ހ`o}8<@p`y`8@> ZC\A@oXlN; w w !VC ʁ!Ȇw.AܨnYA?)18blG4T3 }nser*3nҾQ7!<䫟+=SrTv3;;S?""_bQ\(3e YlkECf:F= .#s᡼bd,}cl ԑK@te09=TҦ֎R@rs,+-nr~ F72!oߩ-OE ,b!t4|% |iKѹ& o|W+awD/˯ʮCJ奊#Wm:1-_ -v. $ [~2 nȸ~g }d'qDYJ F*KbCUk90ȃ^?%ati_XVs?DkJ?{m@ցs?HxCvND_~jS3.JN%VVIt/6@}w9wF-koSJ)_WB8\9˓⿻s?r//ƒֳA@`2Aϵo%5x6nn/mZR@%x{v{9 lf9# }9V;x.g9\=v\\Cɧ{6]=Bm`(% w.PmHgۂd 7p_-b1zS s?#?%oٴ x]Яv9=#6Z'J;}]zlEg"nV eno;qIigީon#L'mO$pԞ؍eL?Ɵ}T⴮'h Q3q twS>]Js'3YZz:w'L驭owwZ*XKYuq^<5eTL&|9K)%?sJ*}^~wf MK?C>Eꭌ;epFH%YZ6n3fޜ$5 pۇ\(;,o# CU*RHKP5NzK S+T?EScI4 &@v٩x~h9fl;BOsoEbrҬ"#םڤ_]W#=瞯,`x|ܔDtzuVu_LWӇe,:U|^YR$4 7Ͻt,rS, wo  wgCG?wu,k8$Uk8?#+K+*5JU\ EEw?w~<ɓ*l˟yFIiwY3dsj򖼬}Z-‡EgcV~ 81w콤eT!\iq5DRS54ݗٖ:]4.|S woR]{Fl/M溘WCs7QPJsk]8NHt:F0Ɯ-ĥLnX2|F&;IɌleU^oNTChv^D-OIGW«y> [O@L**PF|9|3 -H«LY nfMܨ>@=dT;Jk'b1ҺмɁyE5!#_ѝN3I6{LuQ_@]ػ(]]vCE\Uɜ5ld%..>J----- $>JJ.--.."Tahoma & w)w 0wf- -!Sp-!Mp -.."Tahoma  w)w 0wf-!F -!r -!e -!q -!u -!e -!n -!c -!y -%JO--%JO--%JJJO--% J O--%JO--%JO--%WJWO--%>..--%>JJ-.."Tahoma. uP w)w 0wf- -!6_-!2_--!6_-!0_--!5_C-!8_J-!5_-!6_ --!5_-!4_-!5_-!2_-!5_P-!0_W-%>E9E--%>9--%>9--%> 9 --%>J9J--%J.--%>J>.- -!4L)-!0L0--!3)-!00-!2)-!00--!1)-!00-!0R0--- $CJJ----- $CCJ---%JJCCJ---- $0JJ----- $00J---%JJ00J---- $xJxJ----- $xJ---%xJJxxJ---- $YxJYJ----- $YxxJ---%YJxJxYYJ---- $;YJ;J----- $;YYJ---%;JYJY;;J---- $J;J>----- $>;>;J---%J;J;>>J---- $JJ----- $J---%JJJ---- $JJR----- $RRJ---%JJRRJ---- $JJ----- $J---%JJJ---- $JJ----- $J---%JJJ---- $ JJ----- $  J---%JJ  J---- $f=JfJ----- $f==J---%fJJ=f=fJ---- $HCfJHJ----- $HCfCfJ---%HJfJfCHCHJ--%>H>HCGHFMFQEVD[B`Ae?i=n;p:q9s8t7v6x5y4{3|1~0/.,+)(&%#!  }{ywusqonlkjhggfed d d dcddddefgghjk!l#n$o&q's)u+w,y.{/}134679;<>?ACDFGIKLNOQSTVWY[\^_acdfgiklnoqstvwy{| ~ !#%&()+,./013456789:;=?ABDEFFGH---- $\2..----- $\2\2.---%.2.2\\.-.."Tahoma[ P w)w 0wf- -!M=-!e=-!a=-!n=--!5=-!6=-!.=-!0="-!1='--!SK-!tK-!DK-!eK-!vK--!2K-!.K-!2K-!6K"-!2K'--!NY-!2Y-!0Y"-!0Y'.."Tahoma  w)w 0wf--!H$-!i$-!s$-!t$-!o$-!g$-!r$-!a$-!m$-! $-!($-!w$-!i$-!t$-!h$-! $ -!N$-!o$-!r$%-!m$,-!a$9-!l$B-! $G-!C$K-!u$U-!r$^-!v$e-!e$n-!)$w-! $~-!o$-!f$-! $-!S$-!M$"Systemf &-------ContentsJ_1244351823',FH6H6Ole CompObj iࡱ>   !"#$Root EntryhXChartDataChartInfo[CompressedXXADDR' Cm14GraphDoc;/F0Fffffff,@ffffff,@>Data >>(|hҏP!@ F"O@D@!@EPAE" DDd**+@w&͚sշwd<Ancs.ur.V:\̷ζι|o!侻+uFd;lRWUu5.k'́ZG|?n19<3gNl <)̃7p΀K9g΁Kz t<4h@r (4`iJ̩b]M <PjR=5@jՁЂ t /  0ց` ` _\h5k`҃b  6`lhT 6m`ժo @oƒs 00Awܯz`9Yy LD!xa+k5E o.eafc 8q2>D~tKj;Wn}qm&[ Vm^Ι|m8uÖ\Y~~pΰg_ @+hG4|ֿ ZhE32h:mkZf@g_@9 h4hBbb~E@Uye-n>,2ӟNb׸u9.^%i}M(3 Jӡ=?4=V "ywӑ~O]^5+Ǽ_ô-9/NxFi[?$t c !VJG@9,%&UBR:UuTz -#|rF#]rGLx䎙u<"䎙x4rk:iUrGM{farGM䎛PFyg!9->uUI4qɖzr# Qʱm5hkQٜn7k9Z?:'i~l]S󠌴~u9dzE =@ul!%_J:;VIGs0iSAT~_'Dլ|ljbz|.cw; M FI;;*PgT)#B`YʻCzLUT2cRjs=^v+İ+d7L,54XmB` 1p֘;aLGR6fcKdVXϸIXIM{w)+KwOQ*`YGGA_=%2|c^`^&s-OS.{U U iJrVE w稞ͷY%^ RXbsBsoT+&JoWWcX ~.iƓL ϟQ`Z(KeT辳Wue`O4GW{Lͥ12wxHLPo;6w:J=6)mOO*Eh|%ֲ>EBήޞ]N )BH婎~C%]5;e|Fļk[@w(^^O7'$}-X\0K)B^k^hdl|BN<Ns7RS5 yЏx=ykN<>|K1-ۦYm闧GR0%?%c' zxլ zjb|+=P~) w~+[{5{v *a ` ?Kxc#3}L S0*`5i껂']`UTXʊѼ% -R`Ih`X|gL JLGWw/7%)B[;ܺenz5 D}Lz;{k.#(Uꮫc g yڱbV]d`TOVCgDZ.zδ-gbQy徭BI86*7UQz dLe=Ͱ.BSz${%yΤX%nSԆyY#]tXD̂awZe&[_n}Ȧ]،r԰+ N -~$\ZĩT{rcoNBi([eu\Tb]IC Svd3{ݿyThNBBB5qY ϸT-כئ^P ÷(Wa0/ͿZuWa.ˍ{V{U5 2Pu ˣa.QӸ'ڧ K0 g>L;1#v(9?O'fff~sF%OxY<F?Q%@q s ʍR9;lUvp=k{EXLk%ݨ]Pv vj=Bfy reh9}NB~-^,nfz >Gd*J]>ى2uSVtDɣ{Vc$n$k.H돐\ǚ}R:rFj#w;l'!/n#x$#xl#x%:^#[yzFO^/H[ץO?#xM zF>zGcS^/H]פm3+6[K;#xȮ#h}^#+;$< #KpWvRz>3 #CïHq ;%{f#csפvO2K;%=vMyE[^91Ďɿ/LH2Ď޹9tHc]7ݝ6^7D.#y.葼葼葼%[tHރX葽w6A.;F P̃VfP9Gg}+y/=[^q)~|Ga)zSso۬6şI N:Mg.ehM! W%ȫg' `\eHVS!W5mDȈXm؈y^`{ۡڥ+fDb! jXni$UPO)v6WA'cWmY[$ "x!mCtUQeMih;)R%Gm^w?m^Jg%SAtU?WEmR-gn'D+[r?lw8٧5'tQѝR8Z͢ _Ԥ[Vcx_xWr;Ƕxzq~{;λSvku/qwyV?e*jQwr/ b0-U@tڡ&_j#`w^a=y;\3|:R0m*r/TiqԊ{;Qڇ>JZΝK`l o~B Ii'ozdӮ=Dul`,~?ũ԰53e4_nw|=NtkT?\70̋g/.׭EdO]:v(Yo_`ONx(|8 O7Z\@=8`p*xf W`=8q}r@bBzH=9@{r~ߗ As}>lo6@sAϫ:@tǫ#@048>p>z?u`RsWx;v nM;PvH;wA & Sz ttfr2xXZ 4!8lkqO?>vԇq#wZƏmfz1vVwZvVwZ惢9 |hmrƏ5|,hPE)HGͺHH#3Hd tL$|oIDe#A$~8HpGΣZu3=H9qMG-mcs{/=f#6%"+J8 !5yb:~uk/2zSB8Ro-"{έ/m&Jj~ƫYW{³n0l՛xw+6xVoUgF"?`>Uo?5n<8SǏip>432V?DUe'ע9>iWa=e}iֽmq=u=wζGҊ#=ɌE7{P?q)3ijgsfgF ݥzw%wCGWI~"78=:}{y{z }=7{"<}N 36w p}l10ӴO~ه>T]y*qZ?cijm8-I1Af1xu>zvO~ 2cF}| c}|1:NL64*s`\'wFh>wrjt o΃? 40y\E @4i@Kp+ 4p4j@݆|uyc}P=5`zAYz ^|,Lb 5kf`vJ  6Plg׏iP6mp^81ϏAtpn݁x '  J(c=Օ{Tuj(=Gjq18\dXH˵n3`GkD\'zozFv' y̗G}##-ׄ#bqɗ?|&OB3 ].7͘L^yv.7̢Y>tNg~Ge4בb?kŌafАyfڴV~V `F2mnʶpe#na ]MkaeI2|g_u e'd8q %>[) O54?цP2Gd߄wWɰ`GB?L;J唣s?^/;=m9˽[4xYmQzuԈWzoKLpu# Z;Z S;rƬb2/^][[FȞYfŭ${E.#|:wx^`o{gKIYI"߱Y}} U%T/ XHLe2 a x#y{=ng|f7}{sw=oCw3g=sz[ޗ;oWz;/sz[oO 6[[۝P˩-" AF)eCO)\Bĥq˶8mJDJ&S}4VNկҼ- ,_&pQ맚 =Ι>߲=q33{*8` FzB0B0b%r/aDq8P4G# _ώ-#rB91Tys9Џ_/}QtG<#DtB:1XF,R/DcK `G\##KH~GhRv;q]y!\Gr#݈w{ߖ-h70xbp?ʣT%1GT"7$j&L_Ii]NQ`mGi )+,"QGfEV `sڅKYAQi?'u଺Q"9ԞR~\&ߩ"d{jvTRْD^ xvJx>,k(q6jsa.;jd+'|Wk{~!OC}QdsLV֘ B3=I<$V|/q f'=~#E?9O]Q[?.#E?F/_*+ƴ,LY8rtbX" 4vE3h?9Б2w(TI On룰l>/Jo߫~zYK~I3X ֍k`ς$eHz ]geqFM~-L4Z>,tNX謭ÃdCX=㕓!lD:sL̈hjR3[~o~wWr᤟OG&]Ҥ!|)Dgh/ AR_xW/tKXEPr|t_I3!)9\jI uLI}yDLwt ?7(O)#ȸ}o\)>/FM:#E? ?П:F!i0?=-VtL?+f@Dʮ/SgAT? I_`r:zo_G ##DqB8`04G#ÈDJ7PG*#/Ϙ"9PF >l_Dbs9@#ŋ:A(hGN#Ԉub:fzxh/Dv 2"2B>Gt#&#Dw;Qa .\> 0#3?F?Ch93/xP7&9npIW}㐞1W_n#*erMjLWT )]MCDaŸdpfď70&:FjFjFoԊOjFjFN=HC (R[|z\2!\/H*I%)*qO<;5PT|]vf=j6.o/qu:bڝθ83=^ݛPZWSNCZ[ gJ;V`_tAl0]zUzߞ|- 2w[ę"Y[ei#Z؂x{@: Ipb~DT vbbk\4nve/ uY;skUr/)cWZO6,Y*M˪ V?mY6 Sٵ:Q|8e5[yi›e6YkA!~Ķl2l=\7v6vݮk=^˹ aO^fM'OVæYⅲ6>XTas6ȓaYT[ld"̓h -jvi6q]ݙ_|-\7C`yg` B`?-Ѱq̈́>UMihh8 Y1afKҬ׊U8[Jt6etv2L6c8]*f1}vslaY4 Ӂjl]7c~n%6&gsv~k\'rmZ2^N8Xu3qp" XENmy d,n芃KYYQ=gȜ RaP&F),M|`rGn q8 u.eG6ՉK:^ӡvu4z0Mǩ?;t :n *Ѕeáv+_t3]OU݌h"묧COm&Ά+D:Z-6t%nM}iS [F1GBqo&tTuɛw㠨ݱU!ɏ5ŝ -{Ýz: R[ Iй_ټp3gAwN:PX:e:ګRDe}+(t"]N5Ot#&1mkqGCke@4͝ I5+t%hrC2K<95Țx'rnH&{ũ.IT+Dh֗OQ˗!p098Q|2WF3jNyJo.ݎ8x/WN9Nm<x1Ȩޯ&j: NPx4MAx6IvEC%}gVUaKI,<wx'+nxR8RZ[Q{c0xxWZfx;fadO%%?H< XtY+ N͞ G9S> /Ffm,CeK i*nqԏWcO)ݶ>|5ΏUQdm.]qÆٵc>c~ڞ|:zNoh|'ne!Q-^'l> wΞ|*#ð1ρ.ףngoo>wdxCzX2σ>rݖ>lIYuWp Kĉkẑmz Wlxt栫f5Vi|ڀ8p-@Ns@@5vɡw2 @,y%}sP<,X)\!3+h=e+2;4X9 *6ҾF,V-`Eiȵ赣ZZZZ$Z?"`̅kNsҦ`YYscm槉?Flֹ# d$mgc~gIٶFuCWiنwaҼe> MJ ˦ܥVFZ?NB[FA<#nU{$ڀzL.KCALS=yB;vrފ'LXaK5 =Wʐq7T 82gk1>&ލqP%\gsdiL`~]B[0VBqȫ^\UUïCjö҄AmVӯn뫈Bws0[ ;{ѭ:9 ;o{]l,(Vݜ~p+ob;pP+Ġ8WaUkMWz'J/r[ ̭` {ѦC%f0kis=\|(1C:]^!a7u#zR{)'[9hy>]3G62m, !pc4v[mAݖ g$awŌzX7Eٌ]Kcy9ֹYlɿIk3Œ$hd L~ :lV`""gdqJp,-p}7LuL]^@hk(-5xPMgi6P1l|逭Gp ]pV0>N$Nes=rUea@muGVLA\p 7 NYE*lJ:0cVX˳B'y&; ~f ŏ3-+of #k#0a%a" Аq(3oT7ߎOy>q$K? X,~KO%o\.~K% ?!'M'y |^B!g]/y |^C?!m<>C!ߐ{>DAD/ CDOՔH"3ȍ#"Cȑ$?"Sȕ%"cș&"sȝ(<"ȣԞE/S|jl:%OJw"V NHw G8T2d3APn.砖 ToQWfqjJ<#JBu~HW`.t^h_Mpi&B4PuPZ^޸Q ƊGgL`3D60qGIAD%T I}w[׮r*aIuk{ف#]Ea`k4c'|+|,a|OF6F{>G̾'dr"ʗx:[T@><ȁ r@r`Kk2فP>>*ہr}B耖Os@z`9>P>݁@@sg@=X 6|YNbhxR˗hkGj1]4t=Wv<M]cSg)?qC\v=dq981AjCs?z>3.Zi08=ҭDJЬC(LU5ZpBZӄ"MBU-"Xcp, L^d]UQ^l&+4l& FwzO52gpsp|Xa'-F: c %gPvOfxi{9x'}0 O  M jD/ZD"WLQKY{se`%Z*Q"54l`TbTA *jAHǢFR`Ԛue hd2R_lAqzbآ(soljC68ފ]h)wQKR#p d5zPȱ(jS{4jv_-@cƭvhj ,ȹ Îqt[2kZVIM^hj+a`WwsL$}#21YްqGLd^i9v[iկ!xZ:E]7;U;ݱzۏx? AvUy1򱽂MY2y<=cv= goc(t_O6h!3PT\l+pe=+;^i6,Y KtG>6ҷ47Pu-Vi+r0ݗ}{@ǷSUi2l:#UlM]zݬEg-Sp/?D/*ҦUJQWQLnoP>|6%;l]ar㟜{],v'8_O9/Kجej .h% +GBN3++LcovbяOϹRVG% w@z 1uqȹH A%Y'O&bݎ~'a,G'(F0?сTj,جa.Nz@'U?ϲyObjInfo!Equation Native  -_1244351862$FH6H6Ole % DSMT5WinAllBasicCodePagesArialSymbolCourier NewTimes New RomanMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  m  x ==56.021 FMathType 5.0 Equation MathType EFEquation.DSMT49qCompObj#%&iObjInfo&(Equation Native )_1244327277;)FH6H6dDSMT5WinAllBasicCodePagesArialSymbolCourier NewTimes New RomanMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  m==56 FMathType 5.0 Equation MathType EFEquation.DSMT49qOle -CompObj(*.iObjInfo+0Equation Native 1 0DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  m  x ==m FMathType 5.0 Equation MathTy_1244351894"1.FH6H6Ole 6CompObj-/7iObjInfo09pe EFEquation.DSMT49q dDSMT5WinAllBasicCodePagesArialSymbolCourier NewTimes New RomanMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s  x ==2.262Equation Native :(_124435194863FH6H6Ole ?CompObj24@i FMathType 5.0 Equation MathType EFEquation.DSMT49q DSMT5WinAllBasicCodePagesArialSymbolCourier NewTimes New RomanMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s==12ObjInfo5BEquation Native C_12443519758FH6H6Ole GCompObj79HiObjInfo:JEquation Native KK_1244327276=FH6H6 FMathType 5.0 Equation MathType EFEquation.DSMT49q/ DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A   s n  == 12 25  ==2.4 FMathType 5.0 Equation MathType EFEquation.DSMT49q DSMT5WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_Ole QCompObj<>RiObjInfo?TEquation Native U)A  s  x == s n Oh+'0  < H T `lt|$Minitab for Elementary Statisticswongkd Normal.dotyunyh2Microsoft Office Word@@e=&g1Npk4 ,L0t -L0 n3,̨0゛L n 3-̬0[, n ,̪0l n -8qTpe UbWI x }#/G>By }#/G>By }#/G>By }#/G>By }#/G>By }#/G>By }#/G>By }#/G>Bq\QpMf`Z׆i\Sp]n`zׇfPpCa`F7fRpSi`f7fQpKe`VYfSp[mو_$0+TS%LJp&GA@}> Q(GA@}> Q(GA@}> Q(GA@}> Q(GA@}> Q(GA@}> Q(GA@}> Q(GA@}> Q0k4 *6L:0t +>L0 n3*1̸&0L n3+9̼0[, n*5̺60l F")\Bp*`R7%&6 ,L0t -L0 n3,̨0゛L n 3-̬0[, n ,̪0l n -8kKlǔ S!JLj0gwS+ ˂{sMpb17׀i\Yp-Vaׁ\[p=^a7fXp#Qa7fZp3YaYfYp+Uaf[p6 ?L0T \qGN#G9}>rGN#G9}>rGN#G9}>rGN#G9}>rGN#G9}>rGN#G9}>rGN#G9}>rGN#G9?5`ׄi\ Upmvu`:ׅ\Wp}~ `7fTpcqM`&7 fVpsy-`Y fUpkum`68ES*2L*1Uq,}F>ؽ;;W(hw[xɯOT}YnOJkD&-DM5+M͂7 >KJ|Q[揦:4KLoYW(u{"z!,<ҍv}sݾow/^GwWvGl>S%k}!{faԙcWĽ?Ƚr{{L{s9ޭ<Ey\='qvףg{mzv1|8vML {TW[u.2E 3⡾&}=wmr0#7l]#f}oޜjG#]r+k;G|{f[G;LL׋w‹SSXy=XZb[*?ud?s3b틶g&_i|6dw5?~-Jo9oeO0X3ce$.3 H,MًΜ̘>xu&W9x̹ wv(z]>jL9c~s+?9ɟg g]8n+/b Dd !0  # A2@ Yg=Fp,hp:`!h@ Yg=Fp,h~#@@S76xڵ pT$lVji" )1(&hLFF! $IYiIZgͰLE]h_7G6:V1mЍy,:;H~Tvv¯JwPvïSź%~Y]xZ>suft$k8],؜ Z ~>稶e>W :y3X@nĭ܌nnC"-\܉XY| rv* ^e%hś9; 8w1qp8 >>D8&юK䓒vxE"'h;Ir$YjOlk_a5*|o,U"ʤKH(H{,Q=&/#'#(pT!rTGXo8WE|HT,ED兢"QCY,UXRd.I*Z˥jOIWI%WKE+RR Rp7ʌ&3c̺:);eּ"3h~=^L>䛸o~y}A~?ysxc<㧘˳(9XV,7X (%S*Jc2:Xh.g,+ϕçُ&{*jsL:9m$n0nwLox;_Hn/=Kŝq,_8=nNkL뼋{ N䟙88G9>4af[!gBGVh-[w[3όJ>A78]{:~NU@6'-j^wQЁ6"t:8N(-e\q3 ZnzY8E#HzѠ TH1U/LE=*2sIYCQ0=-Ba܇22eqNo^䕅KSٯw*"|u7-~V؊CWwB?߽Dd @b  c $A? ?3"`?2K|Qc?'$`!|Qc? `\ x}RjQ=͌i`& N Z]dh7)nF(؅&R].tY݊UxdR5yΙKHK-D]N0/- qFB_&c&3>ཀྵL7dQOkg>PYROHtQ<bѩ?) :÷>SqoIp7M9E@.1ĉf>l0 }sQꬋ|`=E=X(ŕ(U˵h^f ^+xTlBFQ7dbcMk~Kbn#֐Q5ynz̜+ٕ4]rte%FDעނ42h]z<K Y:l#M/6XŠ=MR_)P (l8a;ߧG`$K^<{m;S93xEC|b_*qO;Dd |b  c $A? ?3"`?2hA8ø@gխZPD'`!<A8ø@gխZP^`0 xuRMkQ=ͤ&|)b-v"XJN`7)5iJI D\I[W.v{eA8fJy{GHWt!W  z@#.)q)\<Յ4` 1ϼ7t`3QT >Ǯ%(E@14lC?C,[wQI^Ӷ.~w<Y=ԓdW Ts]Fɳ8 ypgÀ_(*6= aV r'feؼn-EroUzA:_q=a77!hP)Un[vx|{-;w]aB !ukm}W7]cF Vq:rq\X˾i\3 0lYV#dy~Rm * KBmđ EEAҩbNERP<*s1YGQOrc% hgE_'ω0pݔ2!"{ƒl2znffT< ^EXDd b  c $A? ?3"`?2M?3"i4u]).`!!?3"i4u] (+Hx}RjQ=͌i`&i]Am;24&%QGHIBRD .ŝ?EM~Nڭ+xdRmP==3m6 [`0H%:MQ^V uc d,]xcHZ%,'$+Z}[?)%Arڡ`cJC֫ o'{9[h"`~ GsqY5od 2~a%E(E(*ˠɛh,QxԺT{A6t/oiz; RS=l֍V_EN-A#ӳni8\_FIxq?qs3=7cdŦTX1I÷J$";c36 &K=[E=驜i<yK%hDd |b  c $A? ?3"`?2R7^kW+.aHȏ "ZGVDWzslw7\| -G,zǨ'& sg9̹ss` ."rB-dO5>!: @#b zV/i*kL\MM]3> +O+uQ bG؈I6+*$)$DH8qB>3 C{ 3,s i+hӠQgNnN-933г2?=;*~Tмǝ{%p0np>l,ȫ3œ^xl䍈~ [< 9Z!Ƀq4h[ QUڣ+ôӻ芥fY&PKǽy같h'Oi`]*,֫o SOmE$ZUkLQ]zgCZ!V%8ן&_?8J Hb/f󉱱L1;.}+FB;Ĥ搢gq1 !Li7&3oX)}>so fyĜL# t|Œ:8o3ߐJwNeւ`QTU ~+xWIgOnJiC6WbOVլu2 N7G֠5 ҚGqF@SZicX~_SIjoDd b  c $A? ?3"`?2FUL=2h-j!5`!FUL=2h-j dxڝTKkQ>4QEZUPtE0%$)N5GIR*n"Aą[ \Y n\JDžϝ{h\8r^߹3 FɁGS~lJƸk7MmS$t1,$_Z'÷H^jlkx^n;5zb2>g@22e{Pڞ uByNsQ\!]FU.:0E Ӵ1>œ6GqĊ-Qv1lbܜ{rT*?˺@"+.";trg %f.Z 3])`>8A˜[KݩYC8 fk/pU_lS?8-@Qf/LpdZ"@klG֛1 I@R%&t.K3:P-5?ՠhop&V'd430v7Z04aY85ߦrW:~G S3Z*EC9Ǡ tڀ1TableGSummaryInformation(BZDocumentSummaryInformation8aCompObjhq@@6@6"՜.+,D՜.+,d  hp  Los Angeles Mission CollegeJ(' "Minitab for Elementary Statistics TitleH 6> MTWinEqns       !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNO8@8 Normal_HmH sH tH DA@D Default Paragraph FontVi@V  Table Normal :V 44 la (k@(No List 4>@4 Title$a$5CJ2B@2 Body TextCJ6U@6 Hyperlink >*B*phH"H  1[ Balloon TextCJOJQJ^JaJ4 @24 2Footer  !.)@A. 2 Page Number(lsTo=L,#^|I-h C [ 8 7 9 S s t ~  D O P u "+[NXYZ =*+,-./7Y6%AEFGUV`ps ^mnK)Q{(((((0000000000000000@0000000000000000000000000000000000000000000000@0@0@0000000000 0 0 0 0 000 0 0 0 0 0 0 0 0 0 0 00000000000000000 0 00 0 00 00000000000000000 0 0 0 0000000000 0 0 0 0 00000000sTo=L,#^|I-h C [ 8 7 9 S s t ~  D O P u "+[NXYZ =DEcH*+,-./7Y6%AEFGUV7`ps ^mnK)Q{*;<3G 4I^s}~.89=_`s*=Pcv  . A T ^ _ ` s !!'!.!!!!!!!!!!!!!!!!$"%"G"H"V"""""""""###)#4#?#J#U#`#l#x###########$$$$$$$$$$$$$$%%%"%A%m%r%%%%%&&&8&J&K&l&&'''''((!(3(4(5(c(d((((((((((((((((((((((((((((((((0000000000000000000000000000000000000000000000000000000000000000000000000000 0 0 0 0 000 0 0 0 0 0 0 0 0 0 0 0000000000 0 0 0 0 0 0 0000000000 0 00 0 00 000000000000000000 0 0 0 0000000000 0 0 0 0 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000@000@000@000@000@0@0@0@0@0@000 sTo=L,#^|I-h C [ 8 7 9 S s t ~  D O P u "+[NXYZ =DEcH*+,-./7Y6%AEFGUV`ps ^mnK)Q{*;<3G 4I^s}~.89=_`s*=Pcv  . A T ^ _ ` s !!'!.!!!!!!!!!!!!!!!!$"%"G"H"V"""""""""###)#4#?#J#U#`#l#x###########$$$$$$$$$$$$$$%%%"%A%m%r%%&&&8&J&K&l&&''''((!(3(4(5(c(d(((((((((((((((((((((000000000000000000000000000000000000000000000000000000000000000@0@000000000000 0 0 0 0 000 0 0 0 0 0 0 0 0 0 0 0000000000 0 0 0 0 0 0 0000000000 0 00 0 00 00000000000000000 0 0 0 0000000000 0 0 0 0 000@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@ 0@0@0@0@0@000o0000@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@0@000000@0K00~@0@0 00$ $$$'{6",r-//0 "#%')/134 D!#%c' )*,8.00!$&(*+,-.0250rG_a$$$"%=%?%O&g&i&&&&&&&&'''6'8'T'l'n''''(::::::::::::::  '!!8@0(  B S  ? A m A m A m,A m$A m,A m A mJ A m| A mE r'(s'(9 *urn:schemas-microsoft-com:office:smarttagsplace8*urn:schemas-microsoft-com:office:smarttagsCity>*urn:schemas-microsoft-com:office:smarttags PersonName     %%%%((((((((((((((<?:; `i  !!H"L"$$% %m%n%%%%%&&7&K&L&}&&&&''Q'T'((((((((((((((((((((3333333333333333333333333333333 t } ~ D u "+NZ7g-A{ <`a^n{$$$"%((((((((((((((((((((((((((((((,gSAilm|K MSj=  >$4g) \-dy 0 /0֜B1`RY5.%U6j<sT.=4/@Vfr[GA}hd?LjVX{NIFWTD[ \cJlcj )1Vn `nDtV|gyx b[=z®r47{Z#^`5OJPJQJ^Jo(-^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`OJPJQJ^Jo(-^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`OJPJQJ^Jo(-^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`5OJPJQJ^Jo(-^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hHhh^h`o(.^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.hh^h`o(.XX^X`5o(. ((^(`hH. L^`LhH.   ^ `hH.   ^ `hH. hLh^h`LhH. 88^8`hH. ^`hH. L^`LhH.hh^h`o(.^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.DD^D`o(()DD^D`o(()^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`o() ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.88^8`o(()^`5o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.DD^D`o(()^`o(. ee^e`hH. 5L5^5`LhH.   ^ `hH.   ^ `hH. L^`LhH. uu^u`hH. EE^E`hH. L^`LhH.^`OJPJQJ^Jo(-h^`OJQJo(hHpp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hHhh^h`o(.DD^D`o(()hh^h`o(.^`5o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.??^?`OJPJQJ^J() ^`hH.  L ^ `LhH.   ^ `hH. ^`hH. OLO^O`LhH. ^`hH. ^`hH. L^`LhH.hh^h`o(.^`o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`5o(. ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. TD[g)lcjgyxy 0/0[GA\-/@d?L%U6`RY5\c)1VnAi`nX{N.=,gB1>$47{b[=zFWj<S8        fPz        'n@                 ^i                                            ҕ0,                                                    vkqJQ3 M9 ZW  }YE} lu?=T,YhDEW YA":D"=g#|q)W+/B-0U(1,1[2N4"4y6}Q;^k;7<<>N= U=V8>o> CF8F)K>tK:L$RL%WMUjNjPRSS0VS[S_UpUAW4XZ [ 1[,`"cUf=4gjivo p'WqcBr0w8ux!n|o%@+g.P wE5f?Kq%0[]2eFqeT*,D6 BLpGXOL{]-QsXt5XDnf_LU]WfdakH4RHy4JB1 ^ob5yP oW(@pPxoo(@UnknownyunyhGz Times New Roman5Symbol3& z ArialA|)UWKMJF (KSC)?5 z Courier New5& zaTahoma;Wingdings"1h#F#F+̱"J"J!4d((2QHX ?M=g#2!Minitab for Elementary Statisticswongkdyunyh                          FMicrosoft Office Word Document MSWordDocWord.Document.89q