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…

Answered: A study was done on the body…

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 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 __________.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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