A satellite office of a company opens in a new location. This office does not have...
A satellite office of a company opens in a new location. This office does not have access to information about how the population of employees perform on a leadership test, so they have to generate information based on the sample of employees who work at that location. There are 21 employees at this satellite location. This sample's mean leadership test score is 137 with a standard deviation of 18.
(a) Create a 90% confidence interval for this sample mean.
(b) Create a 99% confidence interval for this sample mean.
(c) Compare the two confidence intervals with respect to the mean of all main location company employees.
i. Do either CIs capture the value of 145? If so, which one(s)?
ii. If you wanted to demonstrate that people at this satellite office have approximately the same leadership test scores as employees at the main location, would you use evidence from either confidence interval to make this claim? Which one? Why?
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