Question

MSU reported that the average number of students in a class 25. Assume that for the population of all classes the population mean number of students is 25 and that the population standard deviation is 5. Suppose you would like to select a random sample of 30 classes for a follow-up study. Answer the following questions and show your work. Note: Do NOT use Excel functions. a) Describe the sampling distribution of the sample mean average for a sample of 30 classes, by specifying its distribution form and parameters. That is, using distribution shape, $E(\bar{x})$, and standard error. b) What is the probability that a simple random sample of 30 classes will provide a sample mean within two (2) students of the population mean? c) What is the probability that a simple random sample of 30 classes will provide a sample mean within one (1) student of the population mean?

          MSU reported that the average number of students in a class 25. Assume that for the
population of all classes the population mean number of students is 25 and that the population
standard deviation is 5. Suppose you would like to select a random sample of 30 classes for a
follow-up study.
Answer the following questions and show your work. Note: Do NOT use Excel functions.
a) Describe the sampling distribution of the sample mean average for a sample of 30
classes, by specifying its distribution form and parameters. That is, using distribution
shape, $E(\bar{x})$, and standard error.
b) What is the probability that a simple random sample of 30 classes will provide a sample
mean within two (2) students of the population mean?
c) What is the probability that a simple random sample of 30 classes will provide a sample
mean within one (1) student of the population mean?

msu reported that the average number of students in a class 25 assume that for the population of all classes the population mean number of students is 25 and that the population standard dev 16567

Added by Mary C.

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