One student group argues that the average student must travel at least 25 minutes daily to go to college with a standard deviation of 9.6 minutes. The university's enrollment office believes it is different from that value and is tasked with taking a random sample of 32 one-way travel times from students. This sample had a mean of 19.4 minutes. Find the confidence interval for the true mean of the students' travel time for the home-university journey at 99% confidence. Does this interval contradict what the student group said? Discuss your answer. a) For what parameter (s) will the confidence interval be? b) Provide the formula to be used to calculate the confidence interval in this case. c) What assumptions do you require to use this formula?
One student group argues that the average student must travel at least 25 minutes daily to go to college with a standard deviation of 9.6 minutes. The university's enrollment office believes it is different from that value and is tasked with taking a random sample of 32 one-way travel times from students. This sample had a
a) For what parameter (s) will the confidence interval be?
b) Provide the formula to be used to calculate the confidence interval in this case.
c) What assumptions do you require to use this formula?
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