The number of semester hours of college credit taken by CPA candidates, X, has a distribution with a mean of 141 hours and a standard deviation of 18 hours. Consider a random sample of 100 first-time candidates for the CPA exam and let ?ത represent the mean number of hours of college credit taken for the sample. The first step is that you are given information about the distribution of X, which allows you to calculate the parameters of the sampling distribution of ?ത, that is, the mean , and the standard deviation, . a. Calculate ?௫̅ . b. Calculate ?௫̅ . c. Describe the shape of the sampling distribution of ?ത. d. Calculate the z-score for the value ?̅ൌ 142 hours. Interpret the z-score in words. e. Use the standard normal probability table to calculate ?ሺ?ത 142ሻ. Illustrate your answer with a graph
The number of semester hours of college credit taken by CPA candidates, X, has a distribution with a
mean of 141 hours and a standard deviation of 18 hours. Consider a random sample of 100 first-time
candidates for the CPA exam and let ?ത represent the mean number of hours of college credit taken for the
sample. The first step is that you are given information about the distribution of X, which allows you to calculate
the parameters of the sampling distribution of ?ത, that is, the mean , and the standard deviation, .
a. Calculate ?௫̅
.
b. Calculate ?௫̅
.
c. Describe the shape of the sampling distribution of ?ത.
d. Calculate the z-score for the value ?̅ൌ 142 hours. Interpret the z-score in words.
e. Use the standard normal probability table to calculate ?ሺ?ത 142ሻ. Illustrate your answer with a graph
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