The dataset below that contains information on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions as well as cars with other transmissions. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? 1. Set up the null and alternative hypotheses. 2. Compute the test statistic. 3. State the p-value for the test. State the decision and conclusion of the test in context. Feel free to use excel, Rstudio, or any other methods to answer the Question! Thanks Auto Manual 77 22 126 30 52 28 62 26 62 29 106 20 27 27 28 22 24 26 26 26 30 26 21 23 21 28 23 29 25 25 20 25 20 22 18 17 17 27 14 25 15 19 18 27 17 30 14 23 18 24 17 23 14 22 15 23 18 24 17 27 14 23 19 22 17 25 17 19 14 26 16 21 16 23 14 18 17 18 17 18 14 18 16 19 16 19 14 21 18 18 15 18 14 18 14 23 15 20 14 23 14 23 13 23 14 23 13 24 15 19 13 22 13 22 13 21 13 11 13 13 12 11 13 12 12 11 12 12 15 23 13 19 13 16 13 14 13 15 13 31 13 12 13 12 12 21 11 22 13 29 13 27 21 27 22 27 13 25 19 25 16 18 19 18 22 19 15 19 19 19 21 19 20 19 22 19 28 11 29 11 12 18 12 17 18 29 16 27 14 27 18 27 16 25 15 25 14 18 18 17 16 18 15 18 14 18 23 18 20 18 12 17 12 17 28 18 18 18 17 18 15 18 17 18 15 16 17 16 14 21 15 14 16 18 13 18 13 18 15 20 12 19 12 17 10 18 10 17 18 19 16 19 18 19 23 18 18 18 17 13 13 14 12 29 15 19 16 17 17 15 19 21 16 17 18 16 22 17 17 19 16 27 12 27 17 25 16 23 12 18 12 14 14 21 15 21 17 21 19 18 10 23 10 20 10 15 10 15 10 17 27 16 27 14 19 29 18 17 19 22 17 30 13 28 13 24 15 22 19 30 18 20 19 27 30 27 25 26 23 25 30 26 26 20 20 20 19 20 20 23 19 17 23 20 29 21 35 23 26 23 23 21 27 30 22 19 24 21 35 22 18 30 18 21 18 17 20 20 22 15 24 20 12 19 27 16 26 14 29 26 27 25 15 28 13 15 15 14 14 22 14 22 16 29 17 17 15 25 15 22 13 24 15 27 15 21 12 18 14 24 13 21 15 20 16 19 14 18 15 31 12 24 12 21 10 17 10 17 10 14 10 27 10 26 10 25 11 25 11 20 11 20 10 17 11 22 11 22 11 30 10 16 17 16 17 15 17 15 19 21 18 19 17 21 17 20 14 21 14 18 15 20 15 17 15 16 10 20 20 16 17 15 22 19 22 15 17 19 17 19 17 19 14 19 17   21   21   19   14   20   17   17   15   14   15   14   10   22   22   17   17   20   20   23   22   17   14   21   22   20   22   22   14   16   13   13   13   16   20   20   16   16   15   15   15   10   16   13   16   20   18   13   16   16   15   13   15   13   10   20   20   16   16   20   20   21   16   13   21   21   18   21   21   13   14   12   23   20   19   19   20   20   20   20   20   20   18   18   19   18   18   18   18   18   18   19   19   19   19   19   16   17   16   17   21   19   13   13   19   19   19   20   19   19   16   17   21   17   18   20   20   19   13   15   15   17   16   16   20   19   21   16   16   21   15   15   15   19   18   18   16   16   15   15   19   15   16   12   17   13   12   16   17   20   15   14   16   18   24   24   23   22   19   18   19   18   15   19   17   17   16   22   16   20   15   34   34   14   13   13   13   13   13   13   29   29   16   28   28   28   28   29   18   17   14   14   14   14   27   36   22   22   44   41   43   35   30   28   27   23   22   23   23   25   23   53   25   41   41   27   23   43   40   51   23   22   27   27   23   23   44   20   20   20   20   19   20   20   34   20   23   21   23   21   18   23   20   20   30   20   20   21   20   21   20   18   17   22   22   28   35   110   23   20   26   23   22   23   20   19   24   24   22   27   25   32   23   25   30   22   23   35   41   19   20   20   21   22   21   19   16   17   18   22   19   19   24   22   21   22   18   22   27   21   16   21   19   20   17   18   17   13   18   16   17   17   17   23   12   15   11   21   28   27   26   26   13   12   13   16   15   15   16   20   19   28   27   26   26   13   16   23   11   12   18   18   18   18   17   18   18   18   25   20   21   18   19   27   26   22   22   22   12   21   18   12   15   27   25   28   25   25   23   11   11   18   18   19   23   22   17   30   24   24   24   30   23   24   18   20   17   20   18   11   25   17   17   16   18   19   25   19   19   18   12   18   18   26   22   22   22   17   27   17   18   22   18   20   15   16   19   17   18   28   18   18   17   25   21   30   22   20   18   20   17   17   15   14   14   14   14   14   14   14   17   17   18   16   15   15   15   17   16   17   11   11   19   22   30   21   18   17   18   12   18   18   18   18   29   24   16   13   17   15   15   14   15   12   16   14   11   14   13   13   19   18   17   19   19   18   18   17   19   18   17   19   18   20   14   13   21   19   22   19   19   16   16   16   18   19   12   12   16   18   17   17   16   15   12   12   12   18   12   13   15   18   16   17   17   16   19   15   17   13   13   13   20   18   21   17   18   17   18   16   17   17   8   11   19   18   20   20   20   19   17   18   18   17   17   14   14   17   19   18   18   20   19   19   18   27   18   17   16   16   17   17   16   14   16   14   14   21   21   16   21   23   21   23   15   15   15   19   18   18   11   21   21   15   15   17   16   16   16   16   18   14   19   18   15   15   13   17   13   13   21   20   20   17   16   19   19   16   14   16   14   16   19   16   20

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

The dataset below that contains information on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions as well as cars with other transmissions. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city
mileage?

1. Set up the null and alternative hypotheses.
2. Compute the test statistic.
3. State the p-value for the test. State the decision and conclusion of the test in context.

Feel free to use excel, Rstudio, or any other methods to answer the Question! Thanks

Auto Manual
77 22
126 30
52 28
62 26
62 29
106 20
27 27
28 22
24 26
26 26
30 26
21 23
21 28
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20 22
18 17
17 27
14 25
15 19
18 27
17 30
14 23
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14 22
15 23
18 24
17 27
14 23
19 22
17 25
17 19
14 26
16 21
16 23
14 18
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14 23
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26 14
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15 28
13 15
15 14
14 22
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17 17
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12 21
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