For Exercises perform each of the following steps.

a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

California and New York lead the list of average teachers’ salaries. The California yearly average is $64,421 while teachers in New York make an average annual salary of $62,332. Random samples of 45 teachers from each state yielded the following.

At α = 0.10, is there a difference in means of the salaries?

Transcribed Image Text:

Sample mean Population standard deviation California New York 64,510 8,200 62,900 7,800