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 B. Ho: H1 H2 H₁: H₁₂ OD. Ho H₁ =H₂ H₁₁₂ ANSUR data H₁: H1 H2 The test statistic is -2.60. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) ANSUR II 2012 ANSUR I 1988 88.5 71.3 87.1 92.0 96.5 78.2 88.0 84.0 75.9 76.3 81.9 73.8 97.1 69.6 88.1 72.7 74.4 75.8 115.4 85.4 101.0 84.0 86.3 94.0 77.3 83.4 97.8

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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. Ho: H1 H2
H₁: H1 H2
B. Ho: H1 H2
H₁: H₁₂
OD. Ho H₁ =H₂
H₁₁₂
ANSUR data
H₁: H1 H2
The test statistic is -2.60. (Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
ANSUR II 2012
ANSUR I 1988
88.5
71.3
87.1
92.0
96.5
78.2
88.0
84.0
75.9
76.3
81.9
73.8
97.1
69.6
88.1
72.7
74.4
75.8
115.4
85.4
101.0
84.0
86.3
94.0
77.3
83.4
97.8
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 B. Ho: H1 H2 H₁: H₁₂ OD. Ho H₁ =H₂ H₁₁₂ ANSUR data H₁: H1 H2 The test statistic is -2.60. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) ANSUR II 2012 ANSUR I 1988 88.5 71.3 87.1 92.0 96.5 78.2 88.0 84.0 75.9 76.3 81.9 73.8 97.1 69.6 88.1 72.7 74.4 75.8 115.4 85.4 101.0 84.0 86.3 94.0 77.3 83.4 97.8
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