The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.7. A random sample of 7 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.0. The population standard deviations are unknown but assumed to be equal. At the 0.10 significance level, is there a difference between the population means? a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)
The null and alternate hypotheses are:
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
A random sample of 10 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.7. A random sample of 7 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.0.
The population standard deviations are unknown but assumed to be equal. At the 0.10 significance level, is there a difference between the population means?
a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)
b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)
c. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
d. State your decision about the null hypothesis.
multiple choice 1
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Reject H0. Correct
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Do not reject H0.
e. The p-value is
multiple choice 2
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between 0.1 and 0.05. Correct
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less than 0.001.
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between 0.02 and 0.05.
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between 0.001 and 0.01.
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between 0.1 and 0.2.
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