A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, µ, of car rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is different from last year’s mean, which was 2700 miles. The group plans to do a statistical test regarding the value of µ. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2565 miles and the standard deviation to be 800 miles. What are the null hypothesis  (H0)  and the alternative hypothesis (H1) that should be used for the test? H0: µ is ____                 __? __ H1: µ is ____                 __ ? ___ In the context of this test, what is a Type II error? A Type II error is ?________       ___ the hypothesis that µ is ? _____  ? when, in fact, µ is ? ____ Suppose that the group decided to reject the null hypothesis. What sort of error might it be making? ____

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, µ, of car rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is different from last year’s mean, which was 2700 miles.

The group plans to do a statistical test regarding the value of µ. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2565 miles and the standard deviation to be 800 miles.

What are the null hypothesis  (H0)  and the alternative hypothesis (H1) that should be used for the test?

H0: µ is ____                 __? __

H1: µ is ____                 __ ? ___

In the context of this test, what is a Type II error?

A Type II error is ?________       ___ the hypothesis that µ is ? _____  ? when, in fact, µ is ? ____

Suppose that the group decided to reject the null hypothesis. What sort of error might it be making? ____

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