1st Edition

ISBN: 9781938168208

Author: Barbara Illowsky, Susan Dean

Publisher: OpenStax College

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Textbook Question

Chapter 13, Problem 56P

Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall

paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and

the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. Assume that

commute times are normally distributed.

State the null and alternative hypotheses.

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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Chapter 13, Problem 55P

Chapter 13, Problem 57P

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