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Given in the table are the BMI statistics for random samples of men and women. 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. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: ₁₂ H₁ H₁ H₂ OC. Ho: ₁2₂ H₁: #1 #₂ The test statistic, t, is. (Round to two decimal places as needed.) C OB. H: ₁₂ H₁:₁₂ OD. Ho: H₁ H₂ H₁: H₁ H₂ P₁ 44 μ n x 27.8736 s 8.174618

Given in the table are the BMI statistics for random samples of men and women. 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. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: ₁₂ H₁ H₁ H₂ OC. Ho: ₁2₂ H₁: #1 #₂ The test statistic, t, is. (Round to two decimal places as needed.) C OB. H: ₁₂ H₁:₁₂ OD. Ho: H₁ H₂ H₁: H₁ H₂ P₁ 44 μ n x 27.8736 s 8.174618

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given in the table are the BMI statistics for random samples of men and women. 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. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. C O B. Ho: H=H2 H₁: H₁ H₂ OD. Ho Hy#t H₁: H₁ H₂ O A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. <4-P₂< (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? because the confidence interval contains Male BMI Female BM H₁ H₂ 44 44 X 27.8736 24.9328 S 8.174618 4.032808 μ n Next
Transcribed Image Text:Given in the table are the BMI statistics for random samples of men and women. 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. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. C O B. Ho: H=H2 H₁: H₁ H₂ OD. Ho Hy#t H₁: H₁ H₂ O A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. <4-P₂< (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? because the confidence interval contains Male BMI Female BM H₁ H₂ 44 44 X 27.8736 24.9328 S 8.174618 4.032808 μ n Next
Given in the table are the BMI statistics for random samples of men and women. 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. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. <H₁-H₂< (Round to three decimal places as needed.) Does the confidence interval support the conclusi because the confidence interval contains only positive values. O A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Fail to reject the null hypothesis. There is O D. Reject the null hypothesis. There is suffici t rejection of the claim that men and women have the same mean BMI. of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for tes zero. only negative values. C ales have the same mean BMI. OB. Ho: H₁ H₂ H₁: H₁> H₂ OD. Ho. H#t H₁: H₁ H₂ Pl n Male BMI | Female BMI P₁ 44 ܕܠܐ 44 X 27.8736 24.9328 S 8.174618 4.032808
Transcribed Image Text:Given in the table are the BMI statistics for random samples of men and women. 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. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. <H₁-H₂< (Round to three decimal places as needed.) Does the confidence interval support the conclusi because the confidence interval contains only positive values. O A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Fail to reject the null hypothesis. There is O D. Reject the null hypothesis. There is suffici t rejection of the claim that men and women have the same mean BMI. of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for tes zero. only negative values. C ales have the same mean BMI. OB. Ho: H₁ H₂ H₁: H₁> H₂ OD. Ho. H#t H₁: H₁ H₂ Pl n Male BMI | Female BMI P₁ 44 ܕܠܐ 44 X 27.8736 24.9328 S 8.174618 4.032808
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