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 cars rented in the U.S. this year. The consumer group has good reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than 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 850 miles Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? Ho :0#0 H₁:0 (b) Suppose that the group decides to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean monthly mileage of cars rented in the U.S. this year is 2700. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) (Choose one) (Choose one) ▼ (Choose one) the hypothesis that u is when, in fact, μ is H □<口 020 X X OSO 0=0 O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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, u, of cars rented in
the U.S. this year. The consumer group has good reason to believe that the mean monthly mileage of cars
rented in the U.S. this year is less than last year's mean, which was 2700 miles.
The group plans to do a statistical test regarding the value of u. 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 850 miles
Based on this information, complete the parts below.
(a) What are the null hypothesis Ho and the alternative hypothesis H₁ that
should be used for the test?
H₁ :0#0
H₁ :0
(b) Suppose that the group decides to reject the null hypothesis. What sort
of error might it be making?
(Choose one)
(c) Suppose the true mean monthly mileage of cars rented in the U.S. this
year is 2700. Fill in the blanks to describe a Type I error.
A Type I error would be (Choose one)
(Choose one)
(Choose one)
(Choose one)
the hypothesis that u is
when, in fact, μ is
μ
0<0
ロミロ
X
X
OSO
0>0
0=0 ☐#0
Transcribed Image Text: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, u, of cars rented in the U.S. this year. The consumer group has good reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2700 miles. The group plans to do a statistical test regarding the value of u. 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 850 miles Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? H₁ :0#0 H₁ :0 (b) Suppose that the group decides to reject the null hypothesis. What sort of error might it be making? (Choose one) (c) Suppose the true mean monthly mileage of cars rented in the U.S. this year is 2700. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) (Choose one) (Choose one) (Choose one) the hypothesis that u is when, in fact, μ is μ 0<0 ロミロ X X OSO 0>0 0=0 ☐#0
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