A statistical program is recommended. The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks.t The file named Cartieage provides a portion of the data for 309 cars. The column labeled Size identifies the size of the car (Compact, Midsize, and Large) and the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. Use a- 0.05 and test for any significant difference in the mean fuel efficiency rating for highway driving among the three sizes of cars. (Hint: you will need to re-organize the data to create indicator vaniables for the qualitative data). State the null and alternative hypotheses. O Hại One or more of the parameters is not equal to zero. O Mi , - 9 -0 H: One or more of the parameters is not equal to zero. O Mgi Po -0 Find the value of the test statistic for the overall model. (Round your answer to two decimal places.) Find the p-value for the overall model. (Round your answer to three decimal places.) Dvalue State your condlusion. O Do not reject Hg, We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. O Reject Hg. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. O Reject H We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among e three sizes of cars. O Do not reject H.. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars.

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Size Hwy MPG
Compact 30
Compact 31
Compact 31
Compact 33
Compact 29
Compact 31
Compact 27
Compact 30
Compact 35
Compact 32
Compact 32
Compact 36
Compact 34
Compact 30
Compact 31
Compact 29
Compact 38
Compact 37
Compact 36
Compact 38
Compact 36
Compact 40
Compact 40
Compact 32
Compact 37
Compact 40
Compact 35
Compact 35
Compact 33
Compact 32
Compact 39
Compact 36
Compact 41
Compact 44
Compact 44
Compact 44
Compact 31
Compact 29
Compact 31
Compact 40
Compact 40
Compact 38
Compact 40
Compact 34
Compact 33
Compact 31
Compact 32
Compact 40
Compact 40
Compact 34
Compact 35
Compact 33
Compact 33
Compact 29
Compact 28
Compact 40
Compact 39
Compact 31
Compact 34
Compact 34
Compact 30
Compact 31
Compact 29
Compact 25
Compact 22
Compact 23
Compact 38
Compact 36
Compact 32
Compact 34
Compact 31
Compact 36
Compact 34
Compact 25
Compact 23
Compact 30
Compact 29
Compact 31
Compact 31
Compact 32
Compact 33
Compact 30
Compact 32
Compact 29
Compact 30
Compact 40
Compact 34
Compact 31
Compact 31
Compact 34
Compact 34
Compact 46
Compact 35
Compact 38
Compact 29
Compact 34
Compact 31
Compact 32
Compact 33
Compact 28
Compact 27
Compact 33
Compact 30
Compact 31
Compact 33
Compact 29
Compact 30
Compact 29
Compact 28
Compact 29
Compact 26
Compact 28
Compact 29
Compact 29
Compact 29
Compact 25
Compact 23
Compact 22
Compact 23
Compact 22
Compact 20
Compact 18
Compact 24
Compact 24
Compact 19
Compact 19
Compact 22
Compact 25
Compact 25
Midsize 33
Midsize 34
Midsize 32
Midsize 30
Midsize 31
Midsize 30
Midsize 31
Midsize 33
Midsize 30
Midsize 29
Midsize 36
Midsize 32
Midsize 36
Midsize 36
Midsize 29
Midsize 27
Midsize 32
Midsize 27
Midsize 36
Midsize 31
Midsize 31
Midsize 38
Midsize 38
Midsize 35
Midsize 36
Midsize 39
Midsize 42
Midsize 33
Midsize 33
Midsize 37
Midsize 40
Midsize 40
Midsize 40
Midsize 36
Midsize 34
Midsize 32
Midsize 32
Midsize 37
Midsize 34
Midsize 35
Midsize 35
Midsize 40
Midsize 39
Midsize 38
Midsize 31
Midsize 30
Midsize 25
Midsize 32
Midsize 34
Midsize 31
Midsize 30
Midsize 28
Midsize 31
Midsize 27
Midsize 25
Midsize 35
Midsize 39
Midsize 38
Midsize 48
Midsize 28
Midsize 28
Midsize 31
Midsize 30
Midsize 30
Midsize 29
Midsize 29
Midsize 27
Midsize 27
Midsize 28
Midsize 27
Midsize 25
Midsize 26
Midsize 25
Midsize 27
Midsize 27
Midsize 26
Midsize 27
Midsize 26
Midsize 26
Midsize 26
Midsize 27
Midsize 29
Midsize 24
Midsize 26
Midsize 25
Midsize 27
Midsize 30
Midsize 27
Midsize 26
Midsize 29
Midsize 32
Midsize 27
Midsize 27
Midsize 25
Midsize 26
Midsize 25
Midsize 24
Midsize 25
Midsize 28
Midsize 30
Midsize 28
Midsize 28
Midsize 23
Midsize 22
Midsize 24
Midsize 20
Midsize 23
Midsize 23
Midsize 23
Midsize 18
Midsize 19
Midsize 21
Midsize 23
Midsize 24
Midsize 24
Midsize 23
Midsize 24
Midsize 24
Midsize 23
Midsize 23
Midsize 23
Large 34
Large 34
Large 34
Large 35
Large 35
Large 28
Large 25
Large 25
Large 27
Large 27
Large 31
Large 27
Large 31
Large 27
Large 27
Large 28
Large 27
Large 25
Large 26
Large 25
Large 25
Large 23
Large 30
Large 30
Large 30
Large 29
Large 29
Large 25
Large 27
Large 30
Large 28
Large 28
Large 22
Large 22
Large 22
Large 24
Large 22
Large 22
Large 19
Large 20
Large 20
Large 20
Large 20
Large 23
Large 23
Large 23
Large 26
Large 26
Large 25
Large 23
Large 21
Large 21
Large 22
Large 25
Large 23
Large 24
Large 24
Large 23
Large 23
A statistical program is recommended.
The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks. t The file named CarMileage provides a portion of the data for 309 cars. The column labeled Size identifies the size of the car (Compact, Midsize, and Large) and
the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. Use a = 0.05 and test for any significant difference in the mean fuel efficiency rating for highway driving among the three sizes of cars. (Hint: you will need to re-organize the data to create indicator variables for the
qualitative data).
State the null and alternative hypotheses.
O Ho: One or more of the parameters is not equal to zero.
H: B1 = 82 = 0
O Ho: B, = B2 = 0
H.: One or more of the parameters is not equal to zero.
O Ho: Bo + 0
H: B, = 0
O Ho: Bo = 0
H: Bo + 0
Find the value of the test statistic for the overall model. (Round your answer to two decimal places.)
Find the p-value for the overall model. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Do not reject Hn. We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars.
O Reject H. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars.
Reject H.. We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars.
O Do not reject H.. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars.
Transcribed Image Text:A statistical program is recommended. The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks. t The file named CarMileage provides a portion of the data for 309 cars. The column labeled Size identifies the size of the car (Compact, Midsize, and Large) and the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. Use a = 0.05 and test for any significant difference in the mean fuel efficiency rating for highway driving among the three sizes of cars. (Hint: you will need to re-organize the data to create indicator variables for the qualitative data). State the null and alternative hypotheses. O Ho: One or more of the parameters is not equal to zero. H: B1 = 82 = 0 O Ho: B, = B2 = 0 H.: One or more of the parameters is not equal to zero. O Ho: Bo + 0 H: B, = 0 O Ho: Bo = 0 H: Bo + 0 Find the value of the test statistic for the overall model. (Round your answer to two decimal places.) Find the p-value for the overall model. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Hn. We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. O Reject H. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. Reject H.. We cannot conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars. O Do not reject H.. We conclude that the mean fuel efficiency rating for highway driving is not the same among the three sizes of cars.
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