A study was done on body temperature of men and women. The results are shown in...

A study was done on body temperature 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 . Use a 0.05 significance level for both parts.

Men: mean 1, n=11, x bar= 97.55 degree F, s= 0.87 degree F.

Women: mean 2, n=59, x bar 97.44 degree F, s= 0.72 degree F

(a). 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?

What is the P-value

State the conclusion

(b) construct a confidence interval for testing the claim that men have a higher mean body temperature than women.

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

Expert Solution

orchestra answered 2 years ago

A study was done on body temperature of men and women. The results are shown in...

A study was done on body temperature 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 . Use a 0.05 significance level for both parts. Men: mean 1, n=11, x bar= 97.55 degree F, s= 0.87 degree F. Women: mean 2, n=59, x bar 97.44 degree F, s= 0.72 degree F (a)....

A study was done on body temperatures of men and women. The results are shown in...

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. Use a 0.05 significance level for both parts. (Women on right, won't let me label header.) Men μ μ1 μ2 n 11 59 x overbar 97.63°F 97.37°F s 0.95°F 0.74°F Test the claim that men have...

A study was done on body temperatures of men and women. The results are shown in...

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. Use a 0.01 significance level for both parts. What are the null and alternative hypotheses? The test statistic, t, is (Round to two decimal places as needed.) The P-value is...

A study was done on body temperatures of men and women. The results are shown in...

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. Use a 0.01 significance level for both parts. Men Women muμ μ1 μ2 n 11 59 x overbarx 97.59 °F 97.36 °F s 0.96 °F 0.72 °F a. Test the...

A study was done on body temperatures of men and women. The results are shown in...

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. Find the t statistic, p-value, and conclusion on if we reject or fail to reject the null hypothesis. Men Women Mean Mean 1 Mean 2 N 11 59 x 97.52°F 97.46°F s 0.82°F 0.64°F a. Use...

A study was done on body temperatures of men and women. The results are shown in...

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. Use a 0.01 significance level for both parts. Men Women μ μ1 μ2 n 11 59 x 97.78°F 97.25°F s 0.97°F 0.66°F a. Test the claim that men have...

A study was done on body temperatures of men and women. The results are shown in...

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. Use a 0.010.01 significance level for both parts. Men Women muμ mu 1μ1 mu 2μ2 n 1111 5959 x overbarx 97.6997.69degrees°F 97.2597.25degrees°F s 0.920.92degrees°F 0.710.71degrees°F FIND P VALUE T VALUE...

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8. 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. Use a 0.05 significance level for both parts. Men Women μ μ1 μ2 n 11 59 x 97.64 F 97.32 F s 0.94 F 0.72 F a. what are...

Study was done on body temperatures of men and women. The results are in the table....

Study was done on body temperatures of men and women. The results are 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. Mean for men is 1 Mean for women is 2 n for men is 11 n for women is 59 X bar for men is 97.62 degrees F X bar for women is 97.24 degrees F S for...

Study was done on body temperatures of men and women. The results are in the table....

Study was done on body temperatures of men and women. The results are 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. Mean for men is 1 Mean for women is 2 n for men is 11 n for women is 59 X bar for men is 97.75 degrees F X bar for women is 97.49 degrees F S for...

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A study was done on body temperature of men and women. The results are shown in...

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