California and New York lead the list of average teachers' salaries. Random samples of 45 teachers from each state yielded the following:

California New York

Sample mean 64,510 62,900

Population Standard Deviation 8,200 7,800

At α = 0.10 test the claim that there is a difference in means of the salaries.

a) State the Hypotheses:

b) Compute the Test statistic: (Round off correctly)

c) Find the p-value:

d) Make the decision using the Decision Rule: (Compare the p-value with α)

e) Write the Conclusion (in plain English as related to the claim).