For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully: The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is more for your car. The 41 trips on the highway that you took averaged 24.3 mpg and the standard deviation for these 41 trips was 6.2 mpg. What can be concluded at the  α = 0.05 level of significance? a. What is the appropriate test to be used for this study? b. State the Null and Alternative hypotheses c. Compute the test statistic d. Find the p-value e. Should the Null Hypothesis be rejected or not? Why? f. State the conclusion of the test in the context of the problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully:

The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is more for your car. The 41 trips on the highway that you took averaged 24.3 mpg and the standard deviation for these 41 trips was 6.2 mpg. What can be concluded at the  α = 0.05 level of significance?

a. What is the appropriate test to be used for this study?

b. State the Null and Alternative hypotheses

c. Compute the test statistic

d. Find the p-value

e. Should the Null Hypothesis be rejected or not? Why?

f. State the conclusion of the test in the context of the problem. 

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