Question: A random sample of 55 observations from one population revealed a sample mean of 18 and a sample deviation of 3. A random sample of 58 observations from another population revealed a sample mean of 20 and a sample standard deviation of 4. At the .05 significance level, is there a difference between the population means? The null and alternative hypotheses are as follows:

Ho: u1= u2

Ha: u1≠u2

a. What is the decision rule? When will you reject Ho? Make a statement such as: Reject Ho if t > the critical value. You must indicate the specific critical value for this problem.)

b. What is the value of the test statistic?

c. What is your decision regarding Ho? (Reject or Do Not Reject Ho?)