In order to estimate the difference between the yearly incomes of marketing managers in the east and the west, the following information was gathered:

East West

n1= 40 n2= 45

x1= 72 (in $1000) x2= 78 (in $1000)

s1= 6 (in $1,000) s2= 8 (in $1000)

DF= 80

1. What is the point estimate between the two population means?

2. At 90% confidence, what is the margin of error?

3. What is the 90% confidence interval for the difference between the two population means?

4. Use P-value approaches to test to determine if the yearly average income of marketing managers in the East is significantly different from the west. a= 0.10

a)State the Null and Alternative Hypotheses

b) what is the value of the test statistic?

c) What is the critical value?

d) what is the p-value?

e) what is your conclusion regarding the null hypothesis?