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Listed in the accompanying table are weights (kg) of randomly selected U.S. Army male personnel measured in 1988 (from "ANSUR I 1988") and different weights (kg) of randomly selected U.S. Army male personnel measured in 2012 (from "ANSUR II 2012"). Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the ANSUR data. a. Use a 0.05 significance level to test the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. What are the null and alternative hypotheses? Assume that population 1 consists of the 1988 weights and population 2 consists of the 2012 weights. OA. H₂H₁ H₂ H₁:₁ P₂ The test statistic is - (Round to two decimal places as needed.) The P-value is - (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval appropriate for the hypothesis test in part (a). O A. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. <14-1₂ OB. Ho: ₂5₂ H₁: H₂> H₂ (Round to one decimal place as needed.) OD. H₂:₁=₂ H₁ H₂ #4₂

Listed in the accompanying table are weights (kg) of randomly selected U.S. Army male personnel measured in 1988 (from "ANSUR I 1988") and different weights (kg) of randomly selected U.S. Army male personnel measured in 2012 (from "ANSUR II 2012"). Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the ANSUR data. a. Use a 0.05 significance level to test the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. What are the null and alternative hypotheses? Assume that population 1 consists of the 1988 weights and population 2 consists of the 2012 weights. OA. H₂H₁ H₂ H₁:₁ P₂ The test statistic is - (Round to two decimal places as needed.) The P-value is - (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval appropriate for the hypothesis test in part (a). O A. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. <14-1₂ OB. Ho: ₂5₂ H₁: H₂> H₂ (Round to one decimal place as needed.) OD. H₂:₁=₂ H₁ H₂ #4₂

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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ANSUR II 2012    ANSUR I 1988
77.8    76.7
71.8    74.1
71.3    62
87.9    68.4
75.5    69.6
120.3    84.3
78.4    73
98.8    84.2
87.1    69.9
86.4    73.6
92.3    79.3
115    69.8
87.6    ""
91.5    ""
96.4    ""

Listed in the accompanying table are weights (kg) of randomly selected U.S. Army male personnel measured in 1988 (from "ANSUR I 1988") and different weights (kg) of randomly selected U.S. Army male personnel measured in 2012 (from "ANSUR II 2012"). Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the ANSUR data. a. Use a 0.05 significance level to test the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. What are the null and alternative hypotheses? Assume that population 1 consists of the 1988 weights and population 2 consists of the 2012 weights. OA. Ho: H₁ H₂ H₁: H₁ <H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic 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 <H44-P₂< (Round to one decimal place as needed.) OB. Ho: H₁ H₂ H₁: H₁> H₂ OD. Ho: H=H H₁: H₁ H₂ O A. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. O B. O C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. O D. Reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. b. Construct a confidence interval appropriate for the hypothesis test in part (a).
Transcribed Image Text:Listed in the accompanying table are weights (kg) of randomly selected U.S. Army male personnel measured in 1988 (from "ANSUR I 1988") and different weights (kg) of randomly selected U.S. Army male personnel measured in 2012 (from "ANSUR II 2012"). Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the ANSUR data. a. Use a 0.05 significance level to test the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. What are the null and alternative hypotheses? Assume that population 1 consists of the 1988 weights and population 2 consists of the 2012 weights. OA. Ho: H₁ H₂ H₁: H₁ <H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic 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 <H44-P₂< (Round to one decimal place as needed.) OB. Ho: H₁ H₂ H₁: H₁> H₂ OD. Ho: H=H H₁: H₁ H₂ O A. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. O B. O C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. O D. Reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. b. Construct a confidence interval appropriate for the hypothesis test in part (a).
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