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. MenWomen μμ1μ2n1159x97.74°F97.36°Fs0.85°F0.71°Fa. Use a0.01significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A.H0:μ1=μ2H1:μ1>μ2Your answer is correct. B.H0:μ1=μ2H1:μ1≠μ2 C.H0:μ1≠μ2H1:μ1<μ2 D.H0:μ1≥μ2H1:μ1<μ2The test statistic, t, is1.391.39.(Round to two decimal places as needed.)The P-value is0.0930.093.(Round to three decimal places as needed.)State the conclusion for the test. A.Rejectthe null hypothesis. Thereissufficient evidence to support the claim that men have a higher mean body temperature than women. B.Rejectthe null hypothesis. Thereis notsufficient evidence to support the claim that men have a higher mean body temperature than women. C.Fail to rejectthe null hypothesis. Thereissufficient evidence to support the claim that men have a higher mean body temperature than women. D.Fail to rejectthe null hypothesis. Thereis notsufficient evidence to support the claim that men have a higher mean body temperature than women.Your answer is correct.b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women. ??<μ1−μ2<??(Round to three decimal places as needed.)

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Answered: Use a 0.01 significance level to test…

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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.			Men	Women
μ	μ1	μ2
n	11	59
x	97.74°F	97.36°F
s	0.85°F	0.71°F

a. Use a

0.01

significance level to test the claim that men have a higher mean body temperature than women.

What are the null and alternative hypotheses?

H0:

μ1=μ2

H1:

μ1>μ2

Your answer is correct.

H0:

μ1=μ2

H1:

μ1≠μ2

H0:

μ1≠μ2

H1:

μ1<μ2

H0:

μ1≥μ2

H1:

μ1<μ2

The test statistic, t, is

1.391.39.

(Round to two decimal places as needed.)

The P-value is

0.0930.093.

(Round to three decimal places as needed.)

State the conclusion for the test.

Reject

the null hypothesis. There

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Reject

the null hypothesis. There

is not

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Fail to reject

the null hypothesis. There

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Fail to reject

the null hypothesis. There

is not

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Your answer is correct.

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

??<μ1−μ2<??

(Round to three decimal places as needed.)

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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