A management study in 2021 found that the average number of employees in mid-sized businesses under a single manager was 42.7. A Colorado management researcher believes the average is significantly higher in Coloardo, possibly due to insufficient management candidates for hire. In an effort to statistically establish this claim, the researcher randomly samples forty mid-sized businesses in CO, examining the number of employees under each manager. The collected data is given below. Is there sufficient evidence at the 0.10 level to substantiate the researcher's claims?
	48	35	37	49	41	41	56	52
	59	55	41	38	40	40	41	36
	51	28	43	47	32	29	53	52
	50	43	35	33	46	64	49	51
	24	46	48	38	44	61	43	53
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 10% significance level to believe the number of employees in mid-sized businesses under a single manager is significantly higher than the 42.7 average? Explain your reasoning.