1. The below data includes the results of a survey of 27 employees in a tax division of a company.  Test the null hypothesis that the average number of years of service is the same for males and females.  Use a 0.05 significance level.

A) Averages are different but this difference is not statistically significant. reject the null hypothesis.
B) Averages are different and this difference is statistically significant. Reject the null hypothesis.
C) Averages are different and this difference is statistically significant. Failed to reject the null hypothesis.
D) Averages are different but this difference is not statistically significant. Failed to reject the null hypothesis.

Employee	Gender	Years of Service	Years Undergraduate Study	Graduate Degree?	CPA?	Age Group
1	F	17	4	N	Y	41-45
2	F	6	2	N	N	26-30
3	M	8	4	Y	Y	31-35
4	F	8	4	Y	N	31-35
5	M	16	4	Y	Y	36-40
6	F	21	1	N	Y	51-55
7	M	27	4	N	N	51-55
8	F	7	4	Y	Y	26-30
9	M	8	4	N	N	31-35
10	M	23	2	N	Y	41-45
11	F	9	4	Y	Y	31-35
12	F	8	2	N	N	26-30
13	F	8	4	Y	N	26-30
14	M	26	4	N	Y	46-50
15	F	9	4	N	Y	26-30
16	F	9	2	N	N	26-30
17	M	19	2	Y	Y	36-40
18	M	5	4	N	N	36-40
19	M	19	4	Y	N	51-55
20	M	20	4	N	N	46-50
21	F	14	4	Y	Y	36-40
22	M	31	4	N	N	51-55
23	F	10	0	N	N	51-55
24	F	10	4	N	Y	31-35
25	M	26	4	Y	Y	46-50
26	M	28	4	N	N	51-55
27	F	5	4	N	Y	21-25

2. The cross-tabulation data given below represents the number of males and females in a survey who have or have not visited an urgent care facility in the last month.  You have created a hypothesis for the Chi-square test of independence (visiting urgent care is independent of gender).  Use a 0.05 significance level for this test.  What is the p-value of your Chi-square test?

Visited Urgent Care?	Female	Male
Yes	14	6
No	2	7

Between 0.016 and 0.017

3. Start removing the non-significant variables from the multiple regression model.  Which variable will be removed first?

A) Utility
B) Gasoline
C) Dairy
D) Food
E) Bakery