The Athletics Department at a high school is interested in the difference in the run times between 11th and 12th grade students. Suppose the 11th grade students make up the first sample while the 12th grade students make up the second.Using a confidence level of 95%, the confidence interval found was (−1.8,2.9)(-1.8,2.9).Which of the following is the correct interpretation?We are 95% confident that the run times of the 11th grade students are, on average, faster than those of the 12th grade students.We are 95% confident that the run times of the 11th grade students are, on average, slower than those of the 12th grade students.We are 95% confident that the run times of the 11th grade students are, on average, about the same as those of the 12th grade students.

The given confidence interval is (-1,8, 2.9).Here, the confidence interval contains the population mean difference value of 0. Therefore, there is no difference between the two population means. Thus, the interpretation of the given confidence interval is “we are 95% confident that the run times of the 11th grade students are, on average, about the same as those of the 12th grade students”.

Answered: he Athletics Department at a high…

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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The Athletics Department at a high school is interested in the difference in the run times between 11th and 12th grade students. Suppose the 11th grade students make up the first sample while the 12th grade students make up the second.

Using a confidence level of 95%, the confidence interval found was (−1.8,2.9)(-1.8,2.9).

Which of the following is the correct interpretation?

We are 95% confident that the run times of the 11th grade students are, on average, faster than those of the 12th grade students.
We are 95% confident that the run times of the 11th grade students are, on average, slower than those of the 12th grade students.
We are 95% confident that the run times of the 11th grade students are, on average, about the same as those of the 12th grade students.

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