(Solved): A random sample of 10 U.S. presidents was taken and the age at inauguration recorded. See the table ...

A random sample of 10 U.S. presidents was taken and the age at inauguration recorded. See the table on the right. Questions 1. Find the sample mean of these 10 presidents' ages in days at the time of their inauguration. You are required to use a software package (such as StatKey. Microsoft Excel, or Apple Numbers) as directed by your instructor. Theme 4tCondidence intervals 67 2. Find the sample standard deviation of these 10 presidents' ages in days. You are required to use a software package (such as StatKey, Microsoft Excel, or Apple Numbers) as directed by your instructor. 3. What is \( t^{*} \) for a \( 90 \% \) confidence interval? 4. Compute a \( 90 \% \) confidence interval for the true average age (in days) of all U.5. presidents, up to and including President Trump, at the time of inauguration. 5. Carefully interpret the interval you computed in Question 4 . 6. Do some research on your own and determine the true average age of oll 45 U.S. presidents, up to and including President Trump. You are required to use a software package (such as StatKey, Microsoft Excel, or Apple Numbers) as directed by your instructor. See if the interval you computed in Question 4 contains this true average. Whether it does or doesn't, explain the chances of that outcome happening. 68 Theme 4 : Confidence intervals