аЯрЁБс>ўџ =?ўџџџ<џџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџьЅС[@ №ПЫbjbj44 &ViViЫ џџџџџџˆšššššššЎvvvv$š$ЎFьЪЪЪЪЪЪЪЪкммм3мымЧ$2R„ЎыšЪЪЪЪЪыššЪЪђђђЪжšЪšЪкђЪкђИђЊššЊЪО *ƒTLйУv HЊЮ 0FЊ2ш2ЊЎЎšššš2šЊ$ЪЪђЪЪЪЪЪыыЎЎ$в Єш ЎЎв Using EXCEL Functions In Place of Probability Tables NORMSDIST(z): Returns the left tail probability associated with standard normal distribution z. e.g., NORMSDIST(1.65) = .950529 -- the area under the z curve up to z=1.65 is 95% NORMSINV (P): Returns the z value so that left tail probability is P. e.g., NORMSINV(0.05)= 1.64485. about 5% of z values are smaller than 1.64485 (the left tail.) NORMDIST (a, mu, sigma, 1): Returns the probability that x <= a for a normal distribution with mean = mu standard deviation = sigma. e.g., NORMDIST (12, 5, 2, 1) = .999767. This is the probability that the random variable is less than or equal to 12 for a normal distribution with mean 5 and standard deviation 2. NORMINV (P, mu, sigma): Returns a number such that the cumulative probability up to that number is equal to P. e.g., NORMINV(0.3, 5, 2) = 3.950529. There is 30% probability that the random variable is 3.905529 or smaller for a normal distribution with mean 5, standard deviation 2. TDIST (x, df, tails) If tails = 1, returns the one-tail probability for x; if tails=2, returns the two-tail probability. e.g TDIST(1.729, 19, 2) = .100024. The t distribution with 19 degrees of freedom has 10% of the values either less than –1.729 (left –tail) or greater than 1.729 (right-tail). TDIST(1.729,19,1) = .050012—one tail probability for x = 1.729 (exactly half of two-tail probability). TINV (P, df) Returns the tvalue with df degrees of freedom, for which the two tail probability is P. e.g., TINV (0.05, 60) = 2.000297. With df = 60 t statistic is very close to the z statistic. Probability of t <= -2 is approximately 2.5%, likewise Probability that t >=2 is 2.5%. CHIDIST (a, df): Returns the probability that ChiSquare with df degrees of freedom >= a (right-tail) e.g., CHIDIST (12, 5) = .034788. This is the probability that chi_square value with 5 degrees of freedom exceeds 12. CHIINV (P, df): Returns the value of ChiSquare for which the right tail probability = P e.g., CHIINV( 0.10, 4) = 7.779434. This is the value of the chisquare with 4 df so that the right tail probability is about 10%. POISSON (x, lambda, cum): Returns the probability of x (if cum=0) for a Poisson distribution with mean = lambda. Returns P(0) + P(1) + … P(x) (if cum=l) e.g., POISSON (5, 2.5, 0) = .066801. This the probability of an observation of exactly 5, for a Poisson with mean = 2.5; while POISSON(5,2 .5, 1) = .957979 is the cumulative probability at x = 5 i.e., P(0) + P(l) + P(2) +P(3) + P(4) + P(5) FDIST (a, df_num, df_den): Returns the right tail probability (probability that F exceeds some number a) e.g., FDIST( 5, 2, 7) = .044799 is the probability that the F statistic >= 5 for a distribution having numerator degrees of freedom of 2 and denominator degrees of freedom of 7. FINV (P, df_num, df_den): Returns the F value for which the right tail probability is P. e.g., FINV (0.05, 3, 5) = 5.409447 is the F value for which the right tail probability is 5%. 67ABCыѕіњ/ 0 ” ž ­ Б Ю Я г д е № ќ ў    A L д н щ ь @ A C Б ю я ё ј    : ; ’ “ Q R „ ѕьсвсЩсвсЩЛЩсвсЩЛЩЛЩВЩЛЩЛЇЩВЩс˜сЩŠЩ†‚†ЩсвсЩЛЩЛЩЛЩŠЩhЋ]оhI1nhЋ]оhI1n6mH nH uhЋ]оhI1n56mH nH uhЋ]о6mH nH uhЋ]оmH nH uhI1nhI1n6mH nH uhI1nmH nH uhI1nhI1n56mH nH uhI1n5mH nH uhлrmH nH uhлr5mH nH u367F˜ъыњ2 “ ” Б г д ь C єєтаТТДІІІ˜Š˜˜Š ЦH"„ ^„ gdI1n ЦH"„а^„аgdI1n ЦD„ ^„ gdI1n ЦD„а^„аgdI1n Ц8 „ ^„ gdI1n Ц8 „Ьў„ ]„Ьў^„ gdI1n Ц8 „Ьў„а]„Ьў^„аgdI1n ЦА „а^„аЫўC я № ё  k ƒ „ ’ ы ЁЂД €ішкшЬЬшОААЃЃ–‹‹ ЦФ„ ^„  ЦФ„ @&^„  ЦФ„а@&^„а Ц!„ ^„ gdI1n Ц!„а^„аgdI1n ЦH"„ ^„ gdI1n ЦD„ ^„ gdI1n ЦH"„а^„аgdI1n„ ^„ gdI1n„ Š  ’ “ ž Ÿ Ћ ­ ш щ &6:;<=FHIXYZ[’“ЁЂЋАДсфњћѕцѕкбУбУбУбУбЕбЌбЈбУбЌбЈбЌ ›Ј ЈѕxjxjhI1nhлr6mH nH uhлrmH nH uhI1nhлr56mH nH uhлr5mH nH u hI1n6hI1nhI1n6hI1nhЋ]оmH nH uhЋ]оhI1n6mH nH uhI1nhI1n6mH nH uhI1nmH nH uhI1nhI1nmH nH uhI1nhI1n56mH nH uhI1n5mH nH u'ћќ§*+Ss}~€ˆ‘ийк*,^`hstwz•–—ЪавгћќКЛюѕщрзрзрзрзрзЬНЬзЏзЋЃЋзЬ”ˆ”Ьз„vзvз„зmЋeЋhЋ]оhлr6hЋ]оmH nH uhЋ]оhлr6mH nH uhЋ]оhЋ]о56mH nH uhЋ]оhлr56mH nH uhI1nhлr6hлrhI1nhлr6mH nH uhI1nhлr56mH nH uhлr5mH nH uhлrmH nH uhI1nmH nH uhI1nhI1nmH nH uhI1n6mH nH u'€к^_`zюя Y*kЩЪєщчємбУбЖЉž“мŒŒм ЦD Цˆ„а^„а Цˆ„ ^„  Цˆ„ @&^„  Цˆ„а@&^„а ЦФ!„ ^„ gdЋ]о ЦФ!„а^„а ЦD„а^„а Ц„ ^„  Ц„а^„аюяі JVW‘•–—ЂЋЌ)*67fg•–ЩЫіымыігХігХКгігіымыЖЎЖЎЖЎЖіhЋ]оhлr6hлrhЋ]о6mH nH uhЋ]оhлr6mH nH uhЋ]оmH nH uhЋ]оhлr56mH nH uhлr5mH nH uhлrmH nH uЪЫє Ц!„F^„FАа/ Ар=!А’"АМ#’$а%Аœ>@ёџ>Normal_HmHnHsH tH uD@ёџD Heading 1_HmHnHsH tH uD@ёџD Heading 2_HmHnHsH tH uD@ёџD Heading 3_HmHnHsH tH uD@ёџD Heading 4_HmHnHsH tH uD@ёџD Heading 5_HmHnHsH tH uD@ёџD Heading 6_HmHnHsH tH uD@ёџD Heading 7_HmHnHsH tH uD@ёџD Heading 8_HmHnHsH tH uD @ёџD Heading 9_HmHnHsH tH uDA@ђџЁD Default Paragraph FontVi@ѓџГV  Table Normal :V і4ж4ж laі (k@єџС(No List @Yђ@ Document Map-D OJQJ\C@\ Body Text Indent ЦH"„а^„а mH sH u`R@` Body Text Indent 2 Ц„ ^„  mH sH uЫ &џџџџ67F˜ъыњ2“”БгдьCя№ёkƒ„’ыЁЂД €к^_`zю Y  Э <;00<;00<;00§џџ8;@T+@т 0 <;00<;00<;00<;00<;0 €<{000€˜0˜0<;0 <;0 0<;0€<;00<;0 0<;00<;0 0<;0 0<;0 0<;00˜0<;00ќ“шй@<;00<;00<;00<;00<;00<;00<;00<;00<;0 ќ“x‹w< ab @(<;00“<;0#ќ“Ь‹w0€˜0€<;00ќ“567F˜ъыњ2”БгдьCя№ёkƒ„’ыЁ €к^_`zю я Y   * k Щ Ъ Э >;00` “e1ШXѕШ7tѕШѕШЌѕШ<;00“<{00“<{00“>{00“<{00“<{00“<{00“>;0 ` “ˆї@<{00“>{00“<{00“<{00“<{00“>{00“<{00“<{00“<{00“>{00“<{00“<{00“<{00“>{00“>{00“>;00“>;00“<;00“<;00“<;00“<;00“<;00“>;00“>;00“>;00“<;00“<;00“>;00“>;00“<;00“<;00“<;00“<;00“<;00“>;00` “„ ћюЫ C €ЪЫ Ы ЁЃќўртћ§knЋ­ЎАсуHR‹*,љ џ     ! ' Э  7AžЈњ18ARWгйАЗьBIQћ§knѕњ"Ћ­UZЎАсу‹рч*,’—лн! / _ e Э 333333333333333333333333333Э џџ Umit Akinc Umit Akinc Umit Akinc Umit Akinc Umit Akinc Umit Akinc Umit AkincWFUхлrI1nЋ]оЭ џ@magicolor 2300 DLLPT1:winspoolmagicolor 2300 DLmagicolor 2300 DLмSDDMmagicolor 2300 DLC-€€€џџџџџџџџџ(dоо(dџmagicolor 2300 DLмSDDMmagicolor 2300 DLC-€€€џџџџџџџџџ(dоо(dџ€ dиЦЬЬ Ы @џџUnknownџџџџџџџџџџџџG‡z €џTimes New Roman5€Symbol3& ‡z €џArial5& ‡za€џTahoma"Aˆ№аh„QFшc&„QFТ ƒТ $№„ЅРДД€24dХ Х @№„ппH(№џ?фџџџџџџџџџџџџџџџџџџџџџI1nџџ5Using EXCEL Functions In Place of Probability Tables Umit AkincWFUўџр…ŸђљOhЋ‘+'Гй0œ˜ифј $0 L X d p|„Œ”ф6Using EXCEL Functions In Place of Probability Tables sin Umit AkincLmit Normal.dotLWFU3UMicrosoft Word 10.0@ьКƒ@ЮЏmџР@s‘џР@PX?LйУТ ўџеЭеœ.“—+,љЎ00 hp˜ Ј АИРШ а фWake Forest UniversityХ { 6Using EXCEL Functions In Place of Probability Tables Title ўџџџўџџџ !"#$%&'()*+ўџџџ-./0123ўџџџ56789:;ўџџџ§џџџ>ўџџџўџџџўџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџRoot Entryџџџџџџџџ РF€х‡TLйУ@€Data џџџџџџџџџџџџ1Tableџџџџ2WordDocumentџџџџ&SummaryInformation(џџџџџџџџџџџџ,DocumentSummaryInformation8џџџџџџџџ4CompObjџџџџџџџџџџџџjџџџџџџџџџџџџўџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџўџ џџџџ РFMicrosoft Word Document MSWordDocWord.Document.8є9Вq