Do cars get better gas mileage on the highway? The table shows the mileage per gallon of cars on city streets and the mileage per gallon of cars on the highway. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the mean difference in miles per gallon is higher for cars on the city streets. (Be sure to subtract in the same direction).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 59E
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Do cars get better gas mileage on the highway?

The table shows the mileage per gallon of cars on city streets and the mileage per gallon of cars on the highway. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the mean difference in miles per gallon is higher for cars on the city streets.
(Be sure to subtract in the same direction).

City (mpg) Highway (mpg)
Difference (mpg)
27.7
31.9
-4.20
17.6
16.5
1.10
18.8
27.5
-8.70
28.2
34.6
-6.40
21.3
26.4
-5.10
19.1
30.4
-11.3
28.3
26.7
2.00
20
24.1
-4.10
What are the correct hypotheses? (Select the correct symbols and values.)
Ho: Select an answer
?v Select an answer
H1: Select an answer
? v Select an answer v
Original Claim = Select an answer
df =
Transcribed Image Text:City (mpg) Highway (mpg) Difference (mpg) 27.7 31.9 -4.20 17.6 16.5 1.10 18.8 27.5 -8.70 28.2 34.6 -6.40 21.3 26.4 -5.10 19.1 30.4 -11.3 28.3 26.7 2.00 20 24.1 -4.10 What are the correct hypotheses? (Select the correct symbols and values.) Ho: Select an answer ?v Select an answer H1: Select an answer ? v Select an answer v Original Claim = Select an answer df =
Based on the hypotheses, find the following:
Test Statistic =
(Round to three decimal places.)
Critical value(s) =
(Round to three decimal places.)
p-value =
(Round to four decimal places.)
Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The
arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values
correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,
to the right, between or left and right of the t-score(s).
Shade: Left of a value
Click and drag the arrows to adjust the values.
-1.5
Decision: Select an answer
Conclusion: Select an answer
v the claim that the mean difference in
miles per gallon is higher for cars on the city streets.
Transcribed Image Text:Based on the hypotheses, find the following: Test Statistic = (Round to three decimal places.) Critical value(s) = (Round to three decimal places.) p-value = (Round to four decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s). Shade: Left of a value Click and drag the arrows to adjust the values. -1.5 Decision: Select an answer Conclusion: Select an answer v the claim that the mean difference in miles per gallon is higher for cars on the city streets.
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