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).