The fuel economy sticker on a new SUV’s window sticker indicates the owner can expect 16 mpg in city driving and 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank of gasoline was collected: 17.6 17.7 18.1 22.0 17.0 19.4 18.9 17.4 21.0 19.2 18.3 19.1 20.7 16.7 19.4 18.2 18.4 17.1 17.4 15.8 17.9 18.0 16.3 17.5 17.3 20.4 19.1 21.0 18.1 19.0 19.6 18.9 16.8 18.2 17.6 19.1 18.0 16.8 20.9 17.9 17.7 20.3 18.6 19.0 16.5 19.4 18.6 18.6 17.3 18.7 Test whether the population average mpg is actually greater than 18 mpg using a 1% level of significance. State the null and alternate hypotheses. Would you perform a one-tailed or two-tailed test? Why? State the test statistic and p-value of your test. Round your values to four-decimal places. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. Interpret your conclusion in the context of this problem.
The fuel economy sticker on a new SUV’s window sticker indicates the owner can expect 16 mpg in city driving and 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank of gasoline was collected: 17.6 17.7 18.1 22.0 17.0 19.4 18.9 17.4 21.0 19.2 18.3 19.1 20.7 16.7 19.4 18.2 18.4 17.1 17.4 15.8 17.9 18.0 16.3 17.5 17.3 20.4 19.1 21.0 18.1 19.0 19.6 18.9 16.8 18.2 17.6 19.1 18.0 16.8 20.9 17.9 17.7 20.3 18.6 19.0 16.5 19.4 18.6 18.6 17.3 18.7 Test whether the population average mpg is actually greater than 18 mpg using a 1% level of significance. State the null and alternate hypotheses. Would you perform a one-tailed or two-tailed test? Why? State the test statistic and p-value of your test. Round your values to four-decimal places. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. Interpret your conclusion in the context of this problem.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
Related questions
Question
- The fuel economy sticker on a new SUV’s window sticker indicates the owner can expect 16 mpg in city driving and 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank of gasoline was collected:
|
17.6 |
17.7 |
18.1 |
22.0 |
17.0 |
19.4 |
18.9 |
17.4 |
21.0 |
19.2 |
|
18.3 |
19.1 |
20.7 |
16.7 |
19.4 |
18.2 |
18.4 |
17.1 |
17.4 |
15.8 |
|
17.9 |
18.0 |
16.3 |
17.5 |
17.3 |
20.4 |
19.1 |
21.0 |
18.1 |
19.0 |
|
19.6 |
18.9 |
16.8 |
18.2 |
17.6 |
19.1 |
18.0 |
16.8 |
20.9 |
17.9 |
|
17.7 |
20.3 |
18.6 |
19.0 |
16.5 |
19.4 |
18.6 |
18.6 |
17.3 |
18.7 |
Test whether the population average mpg is actually greater than 18 mpg using a 1% level of significance.
- State the null and alternate hypotheses.
- Would you perform a one-tailed or two-tailed test? Why?
- State the test statistic and p-value of your test. Round your values to four-decimal places.
- Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α.
- Interpret your conclusion in the context of this problem.
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