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Name: A researcher was interested in comparing the amount of time (in hours)
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Description: A researcher was interested in comparing the amount of time (in hours) spent working out by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she worked out during

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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A researcher was interested in comparing the amount of time (in hours) spent working out by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she worked out during the previous week. The summary statistics are as follows. Test the claim, using a 99% CI, that the mean amount of time spent working out by women is smaller than the mean amount of time spent by men. Assume the variables are approximately normally distributed.

	Mean	Std dev	Sample size
Women	17.8 hrs	2.9 hr	24
Men	19.5 hrs	6.2 hrs	27

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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