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Independent random samples of 36 and 48 observations are drawn from two quantitative populations, 1 and...

Independent random samples of 36 and 48 observations are drawn from two quantitative populations, 1 and 2, respectively. The sample data summary is shown here. Sample 1 Sample 2 Sample Size 36 48 Sample Mean 1.28 1.32 Sample Variance 0.0570 0.0520

Do the data present sufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2? Use one of the two methods of testing presented in this section. (Round your answer to two decimal places.)

z =

Explain your conclusions.

H0 is rejected. There is sufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2.

H0 is not rejected. There is sufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2.

H0 is not rejected. There is insufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2.

H0 is rejected. There is insufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2.

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Answer #1

Claim: The mean for population 1 is smaller than the mean for population 2.

The null and alternative hypothesis is

Level of significance = 0.05

Test statistic is

Critical value = - 1.64 ( using z table)

| Z | < | - 1.64| we fail to reject null hypothesis.

Conclusion: H0 is not rejected. There is insufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2.

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