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Name: We want to determine the contribution of a new exercise program on sle
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Description: We want to determine the contribution of a new exercise program on sleep time among children. For a sample of 11 randomly selected children from a normally distributed population, we measure nightly sleep time (in hours) both before and after the imp

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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We want to determine the contribution of a new exercise program on sleep time among children. For a sample of 11 randomly selected children from a normally distributed population, we measure nightly sleep time (in hours) both before and after the implementation of the new exercise program. The mean difference in sleep time (between pre- and post-program measurements) is 0.65 hours with a standard deviation of 1.1 hours. Using the significance level α = .05, test the claim that there is a statistically significant difference in nightly sleep time between pre-program and post-program measurements

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Step 1

It is given that:

Step 2

The null and alternative hypotheses are:

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