Students in an Introductory Statistics Class Were Asked How Many $90 \%$

Short Answer

Students in an introductory statistics class were asked how many states they have visited. The following output pertains to the sample results:
a. Determine a $90 \%$ confidence interval for the population mean number of states visited among all students at this university.
b. Check and comment on whether the technical conditions of this confidence interval are satisfied.
c. For what proportion of students in the sample is the number of states visited within the interval calculated in part a?
d. Should you expect your answer to part $\mathrm{c}$ to be close to $90 \%$ ? Explain why or why not.
e. Based on your interval, what can you say about the p-value if you were to conduct a two-sided significance test of whether the population mean differs from 15? Explain briefly, without conducting a test or doing new calculations.