Why is normal distribution used
[DOC File]When to Use the T-Distribution vs
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If σ is known, then using the normal distribution is correct. What is Most Common Practice: Since people often prefer to use the normal, and since the t-distribution becomes equivalent to the normal when the number of cases becomes large, common practice often is: If σ known, then use normal. If σ not known: If n is large, then use normal.
[DOC File]Why is statistical analysis preferable to visual ...
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Q11. To approximate the binomial distribution, why do we sometimes use the Poisson distribution and sometimes use the normal distribution? Poisson approximation to binomial is a discrete-to-discrete approximation; therefore it is preferable to the normal approximation.
[DOC File]CHAPTER 8—INTERVAL ESTIMATION
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The normal distribution can be used. b. The t distribution with 5 degrees of freedom must be used. c. The t distribution with 6 degrees of freedom must be used. d. The sample size must be increased. ANS: D PTS: 1 TOP: Interval Estimation 17. A sample of 200 elements from a population with a known standard deviation is selected.
[DOC File]3 - JustAnswer
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The Normal distribution is frequently used in working the sample mean. The central limit theorem gives the result that the sample average is approximately normal when the sample size is pretty big (e.g., over 30). So, one of the most common applications of the normal distribution is in working with sample average.
[DOCX File]Binomial, Geometric, and Normal Distributions
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How many standard deviations wide is the standard normal distribution? What is the z-score formula? What do z-scores tell you? How many standard deviations wide is a non-standard normal distribution? How do you find P(X
[DOC File]SECTION 5 - Purdue University
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As a result, of the above, the Normal Distribution can be used to calculate probabilities of sample means when the population distribution is normal (or when it is not, per the Central Limit Theorem (CLT). Mean, Standard Deviation, and Distribution of the Sample Mean.
[DOCX File]Year 12 Mathematics Standard 2 – MS-S5 The Normal Distribution
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The normal distribution curve is sometimes called the ‘bell curve’ or the ‘Gaussian curve’ after the mathematician Gauss, who played an important role in its development. Early on, the normal distribution was used to model and manage the errors received during astronomy investigations, though its applications are more wide ranging today
[DOC File]Introduction to Distribution Systems
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Digital recording is also heavily used and capable of recording a large amount of substation operational information. Most distribution substations carry between 5 and 60 MVA. 1.2 Primary Distribution. The primary distribution system consists of the feeders emanating from the substation and supplying power to 1 or more secondary distribution ...
[DOC File]A Level Mathematics Questionbanks
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The examination results of 11-year-old children on a particular test can be assumed to have a normal . distribution with mean 100 and standard deviation . a) Give two. reasons why this can only be an assumption. [2] b) If only 2.5% of children get a score of 139 or above, find the value of correct to 1 decimal place [3]
[DOC File]COMPREHENSIVE TUTORIAL -II
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Poisson distribution. c. normal distribution. d. chi-square distribution. Answer: c. 28. Whenever the population has a normal probability distribution, the sampling distribution of sample mean is a normal probability distribution for. a. only large sample sizes. b. only small sample sizes. c. any sample size.
[DOCX File]Open Michigan
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plot that can be used to check for normality is called a QQ Plot, which plots the percentiles (quantiles) of a standard normal distribution against those of the observed data. If the observations follow an approximately normal distribution, the resulting points should follow roughly a straight line with a positive slope.
[DOC File]Review Questions
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Why is an allowance added to the normal time to compute the standard time? What are some of the causes of variability in the observed work element times that occur from cycle to cycle? Why is the student t distribution rather than the normal distribution used in the calculation of the number of work cycles to be timed?
[DOC File]Testing for Normality By Using a Q-Q Plot
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Another number that can be used to check the normality of the distribution is the the fourth central moment of the distribution, called the kurtosis : The sample kurtosis is computed as follows: The kurtosis measures the amount of the tail probabilities of the distribution and equals 3 for a normal population distribution.
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