Is the difference between the mean annual salaries ofstatisticians in Region 1 and Region 2 more than $8000? To? decide,you select a random sample of statisticians from each region. Theresults of each survey are shown to the right. At ?=0.10, whatshould you? conclude? Answer A-E

Region 1

x1 = $68,300

standard deviation = $8,750

n1 = 47

Region 2

x2 = $63,000

standard deviation = $9,275

n2 = 40

A. What are the alternative and null hypotheses? Expressthem mathematically.

B. Determine the critical values and rejectionregions

C. Calculate the standardized teststatistic

D. Choose the correct answer below

a) Fail to reject H null, at the? 1% significance? level, thereis sufficient evidence to support the claim that the differencebetween the mean annual salaries is more than ?$8000

b) Reject H null, at the? 1% significance? level, there issufficient evidence to support the claim that the differencebetween the mean annual salaries is more than ?$8000

c) Reject H null, at the? 1% significance? level, there isinsufficient evidence to support the claim that the differencebetween the mean annual salaries is more than ?$8000

d) Fail to reject H null, at the? 1% significance? level, thereis insufficient evidence to support the claim that the differencebetween the mean annual salaries is more than ?$8000