Each year, marketing and information firm J.D. Power and Associates surveys new car owners 90 days after they have purchased their cars. The data collected are used to rate auto brands (Toyota, Ford, and others) on initial quality and initial customer satisfaction. USA Today reported both the number of manufacturing defects per 100 vehicles and a satisfaction score for all 33 brands sold in the United States.† A research group decides to compare the mean number of defects for 2 specific models of cars, A and B, made this year by taking random samples of 100 cars of each model. (a) After collecting the data, the research group calculates a 95% confidence interval to estimate the difference in population means. In this case, what is the population? all cars for models A and B that were produced this yearthe defects all cars made this yearthe 100 cars from each model (b) Suppose the calculated confidence interval is (84, 92) number of defects. What is the value of the point estimate for difference in mean number of defects for Models A and B? (c) Based upon your calculated point estimate and the confidence interval given in part (b), what is the estimated standard error of the point estimate? (Use a table or technology. Round your answer to one decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Each year, marketing and information firm J.D. Power and Associates surveys new car owners 90 days after they have purchased their cars. The data collected are used to rate auto brands (Toyota, Ford, and others) on initial quality and initial customer satisfaction. USA Today reported both the number of manufacturing defects per 100 vehicles and a satisfaction score for all 33 brands sold in the United States.†

A research group decides to compare the mean number of defects for 2 specific models of cars, A and B, made this year by taking random samples of 100 cars of each model.

(a)

After collecting the data, the research group calculates a 95% confidence interval to estimate the difference in population means. In this case, what is the population?

all cars for models A and B that were produced this yearthe defects all cars made this yearthe 100 cars from each model

(b)

Suppose the calculated confidence interval is (84, 92) number of defects. What is the value of the point estimate for difference in mean number of defects for Models A and B?

(c)

Based upon your calculated point estimate and the confidence interval given in part (b), what is the estimated standard error of the point estimate? (Use a table or technology. Round your answer to one decimal places.)

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