# In order to estimate the difference between the yearly incomes of marketing managers in the east and the west

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?