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Null & Alternative Hypothesis & Five-Step Prodcedure

The null and alternate hypotheses are:
Ho: 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?

Note: Use the five-step hypothesis testing procedure for the following exercises.

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
e) estimate the p-value

Solution Preview

Please see the attached file.

1. The null and alternate hypotheses are:
Ho: 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 ...

Solution Summary

The solution attaches a .doc file that shows how to state the state the decision rule, compute the pooled estimate of the population variance, compute the test statistic, state your decision about the null hypothesis and estimate the p-value for a given set of data.

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