Answered: A school district is considering moving…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours.

Is it appropriate to use a two-sample t-interval for the difference in means to estimate the difference in hours of sleep for students at the two high schools?

A. Yes, all the conditions for inference are met.

B. No, the two samples are not independent samples.

C. No, the sample sizes for the two schools are different.

D. No, at least one of the two samples is not a random sample.

E. No, we do not know if the distributions of sleep times are roughly symmetric.

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