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. d) Calculate the value of the margin of error (or maximum error) for the established confidence level e) Provide the lower limit of the requested range. f) Provide the upper limit of the requested range. g) How do you interpret this interval, it contradicts what the student group says?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.

d) Calculate the value of the margin of error (or maximum error) for the established confidence level
e) Provide the lower limit of the requested range.
f) Provide the upper limit of the requested range.
g) How do you interpret this interval, it contradicts what the student group says?

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