The null and alternate hypotheses are:
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
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A random sample of 9 observations from one population revealed a sample mean of 22 and a sample deviation of 4.7. A random sample of 9 observations from another population revealed a sample mean of 26 and a sample standard deviation of 3.6.
At the .10 significance level, is there a difference between the population means?
(a) State the decision rule. (Negative values 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 value should be indicated by a minus sign. Round your answer to 3 decimal places.)