You are working as an assistant to the dean of institutional research at your un

Question

You are working as an assistant to the dean of institutional research at your university. The dean wants to survey members of the alumni association who obtained their baccalaureate degrees 5 years ago to learn what their starting salaries were in their first full-time job after receiving their degrees. A sample of 50 alumni is to be randomly selected from the list of 2, 400 graduates in that class. If the dean's goal is to construct a 95% confidence interval estimate for the population mean starting salary, why is it not possible that you will be able to use the expression X plusminus Z_0.025 sigma/squareroot n for this purpose? Explain Why is it not possible to use the equation? The population standard deviation o is not known. The sample size n is not large enough to use this expression The sample mean X might not be a whole number, but the number of students must be. The sample size n is too large to use this expression.

Explanation / Answer

Right answer is A) the population standard deviation is not known

Sample size is enough to use z test i.e., n>30. So, option B and D are not correct Choice.

C doesn't make any sense amd we use t test when population standard deviation is unknown.

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