Here is the numbers: 67.5 78.5 90.9 80.4 95.4 90.2 103.7 78.6 79.1 72.1 77.3 85.5 112.4 87.9 94.9 102.2 84.7 86.7 68.4 66.3 85.8 67.2 105.4 88.0 85.1 92.0 104.2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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ANSUR II 2012    ANSUR I 1988

Here is the numbers:

67.5    78.5
90.9    80.4
95.4    90.2
103.7    78.6
79.1    72.1
77.3    85.5
112.4    87.9
94.9    102.2
84.7    86.7
68.4    66.3
85.8    67.2
105.4    88.0
85.1
92.0
104.2

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 0.01 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
H₁:₁ <H₂
C
OC. Ho: H₁ H₂
H₁: H₁> H₂
OB. Ho: H₁ H₂
H₁: Hy > H₂
OD. Ho: H₁ H₂
H₁: H₁
H₂
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 0.01 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 H₁:₁ <H₂ C OC. Ho: H₁ H₂ H₁: H₁> H₂ OB. Ho: H₁ H₂ H₁: Hy > H₂ OD. Ho: H₁ H₂ H₁: H₁ H₂
The test statistics
(Round to two decimal places as needed)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test
OA. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1958 population is less than the mean weight of the 2012 population.
OB. Reject the mul hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less then the men weight of the 2012 population
ⒸC Fail to read the null hypothesis. There is sufficient evidence to support the daim that the mean weight of the 1928 population is less than the mean weight of the 2012 population
OD. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1958 population is less than the mean weight of the 2012 population.
b. Construct a confidence interval appropriate for the hypothesis tast in part (a)
(Round to one decimal place as needed)
Transcribed Image Text:The test statistics (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test OA. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean weight of the 1958 population is less than the mean weight of the 2012 population. OB. Reject the mul hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1988 population is less then the men weight of the 2012 population ⒸC Fail to read the null hypothesis. There is sufficient evidence to support the daim that the mean weight of the 1928 population is less than the mean weight of the 2012 population OD. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean weight of the 1958 population is less than the mean weight of the 2012 population. b. Construct a confidence interval appropriate for the hypothesis tast in part (a) (Round to one decimal place as needed)
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