# Question

The null and alternate hypotheses are:

H0: µ1 = µ2

H1: µ1 ≠ µ2

A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?

(a) State the decision rule,

(b) Compute the pooled estimate of the population variance,

(c) Compute the test statistic,

(d) State your decision about the null hypothesis, and

(e) Estimate the p-value.

H0: µ1 = µ2

H1: µ1 ≠ µ2

A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?

(a) State the decision rule,

(b) Compute the pooled estimate of the population variance,

(c) Compute the test statistic,

(d) State your decision about the null hypothesis, and

(e) Estimate the p-value.

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