According to research in elementary education, the average score on a test of basic skills by fifth graders in western Kansas is 122 with a standard deviation of 9.2. Using recent score results from a collection of public school fifth graders from the city of Hays, the local district wishes to determine if the average score from Hays is significantly higher at the 5% level. In using a collection of thirty-seven randomly selected scores from such students in Hays, they found the average score of these Hays' fifth graders was 126.
a.	Give the null and alternative hypotheses for this test.
		H0:
		H1:
b.	Determine the value of the test statistic.
c.	Determine the appropriate critical value(s).
d	Determine the P-value.
e.	Is there sufficient evidence at the 5% significance level that the average score from Hays is significantly higher than the average score on the test of basic skills by fifth graders in western Kansas? Explain your reasoning.