Answer the following question in a word document and submit in the assignment module. You will need to show all work in determining your confidence interval including especially the margin of error. Round the values of the confidence interval to one decimal place. In your interpretation statement, make sure that you write a complete sentence as modeled in the examples in the textbook.

A professor wants to estimate how many hours per week her students study. A simple random sample of 78 students had a mean of 15.0 hours of studying per week. Construct and interpret a 90% confidence interval for the mean number of hours a student studies per week. Assume that the population standard deviation is known to be 2.3 hours per week.