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 OB. Ho: H₁ H₂ H₁: H₂> H₂ OD. Ho: H₁ H₁: H₁ H₂ H₂
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.
a. Reject the null hypothesis.There is sufficient evidence to support the claim that
b. Reject the null hypothesis.There is not sufficient evidence to support the claim that mean of weight of the 1988 population is less than the mean weight of the 2012 population.
c. Fail to reject the null hypothesis.There is sufficient evidence to support the claim that mean of weight of the 1988 population is less than the mean weight of the 2012 population.
d. Fail to reject the null hypothesis.There is not sufficient evidence to support the claim that mean of 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).
____________ < μ1 - μ2 < _____________________ (Round to one decimal place as needed.)
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