A study was done on the 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. Use a 0.010.01significance level for both parts. Men Womenμμ1μ2n1159x overbar97.67°F97.22°Fs0.77°F0.66°F Test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? The test statistic, t, is __________The P-value is __________ State the conclusion for the test. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.__________ <μ1 − μ2 < __________ Does the confidence interval support the conclusion found with the hypothesis test?__________, because the confidence interval contains __________.

We have given two independent random samples of men and women- For sample 1 for men- Sample size, n1…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A study was done on the 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. Use a 0.010.01significance level for both parts.

	Men	Women
μ	μ1	μ2
n	11	59
x overbar	97.67°F	97.22°F
s	0.77°F	0.66°F

Test the claim that men have a higher mean body temperature than women.

What are the null and alternative hypotheses?

The test statistic, t, is __________

The P-value is __________

State the conclusion for the test.

Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.

__________ <μ1 − μ2 < __________

Does the confidence interval support the conclusion found with the hypothesis test?

__________, because the confidence interval contains __________.

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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