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Name: A study was done on body temperatures of men and women. The results ar
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Description: A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population stand

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 study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.

a. Test the claim that the two samples are from populations with the same mean. ( use a 0.05 significance level to test the claim that men have a higher mean body temperature than women)

What are the null and alternative hypotheses?

What is the test statistic, t?

What is the P-value?

State the conclusion for the test.

b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

Men
Women
H1
H2
11
59
X
97.72°F
97.38°F
0.96°F
0.67°F

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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