Teachers' Salaries 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 annual salary of $62,334.$ Random samples of teachers from each state yielded the following.

California $/$ New York

Sample mean $66,306/62,453$

Population standard deviation $8259/7780$

Use a$=\mathrm{.}05$ for the average teachers' salaries in California. At $,$ is there a difference in means of the salaries? A State the hypotheses and identify the claim. This hypothesis test is a $(1/2$tail$)$ test. B Find the critical value$($s$).$ Round the answer$($s$)$ to at least two decimal places. If there is more than one critical value, separate them with commas. C Compute the test value. Round the answer to at least two decimal places. D $($Accept$/$ Reject$)$ E There $($is$/$is not$)$ enough evidence to support the claim that there is a difference in the means of the salaries.