In what follows use any of the following tests/procedures:Regression, multiple regression, confidence intervals, one sidedT-test or two sided T-test. All the procedures should be done with5% P-value or 95% confidence interval.Some answers areapproximated, choose the most appropriate answer.SETUP: Is it reasonable to claim that cars with higher city MPGhave also higher Highway MPG? Given the data your job is to helpanswer this question.

I. What test/procedure did you perform? (6.66points)

• a. One sided T-test
• b. Two sided T-test
• c. Regression
• d. Confidence interval

II. Statistical interpretation? (6.66points)

• a. Since P-value is small we are confident that the slope isnot zero.
• b. Since P-value is small we are confident that the averagesare different.
• c. Since P-value is too large the test is inconclusive.
• d. None of these.

III. Conclusion? (6.66 points)

• a. Yes, we confirm that this was a reasonable claim.
• b. No, we cannot confirm that this was a reasonable claim.

CityMPG	HighwayMPG
28	34
28	34
26	37
26	37
26	37
29	36
29	36
26	33
27	36
26	33
26	33
32	38
36	44
32	38
29	33
29	33
29	33
26	34
26	34
26	34
23	30
26	33
25	32
24	32
24	32
24	32
28	37
28	35
28	35
24	33
26	35
26	35
26	35
26	35
26	35
32	38
25	31
25	31
24	31
22	30
32	40
32	40
32	40
35	43
33	39
35	43
20	30
21	32
24	34
22	30
21	32
22	29
22	29
22	30
21	28
21	29
21	28
21	28
21	28
20	27
19	26
26	34
26	34
32	37
26	30
46	51
60	66
19	27
19	27
20	27
24	32
20	27
25	34
21	26
23	28
24	32
20	29
20	30
24	33
20	28
22	28
21	28
20	27
24	33
21	29
24	33
20	29
59	51
24	31
24	31
38	46
24	31
24	31
22	29
22	31
20	29
20	29
20	30
18	28
20	30
18	28
23	32
18	28
18	27
21	29
19	27
21	27
22	30
18	27
17	25
17	25
21	30
21	30
17	26
17	26
18	26
18	26
18	26
22	30
19	26
17	25
17	25
19	26
18	25
18	26
21	26
20	28
20	28
20	29
20	30
21	28
20	27
19	26
21	29
21	29
20	29
21	30
24	30
22	31
22	29
20	28
23	30
20	28
17	26
18	25
20	27
18	25
20	29
19	27
19	27
20	30
20	30
20	29
19	28
20	29
20	29
18	25
18	27
21	28
17	25
18	26
19	26
18	25
20	29
18	25
18	24
20	26
20	26
20	25
19	25
19	26
20	26
17	25
17	23
20	28
20	28
21	29
21	29
19	26
21	29
19	26
18	25
20	27
20	28
18	25
20	28
20	27
18	24
18	24
20	27
18	25
18	25
17	24
17	24
14	20
19	28
20	30
18	26
18	26
18	26
18	28
18	26
18	26
18	26
17	23
17	23
18	26
18	28
17	24
18	28
18	28
17	24
18	25
18	23
18	25
17	24
17	24
17	25
17	25
17	25
16	21
16	24
13	19
20	26
17	22
19	27
16	20
18	26
16	24
21	29
21	30
21	28
20	26
19	26