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The government claims that students earn a mean of $4500 during their summer break from studies tandom sample of students gave a sample average of $3975, and a 95% confidence interval was fou to be $3525

The government claims that students earn a mean of $4500 during their summer break from studies tandom sample of students gave a sample average of $3975, and a 95% confidence interval was fou to be $3525

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The government claims that students earn a mean of $4500 during their summer break from studies. A fandom sample of students gave a sample average of $3975, and a 95% confidence interval was found to be $3525 < j<$4425/Which of the following is a correct interpretation of 95% confidence? a. If the study were to be repeated many times, there is a 95% probability that the true average summer earnings is not $4500 as the government claims. b. Because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500. If we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500. C. d. If we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students. There is a 95% probability that the true average earnings are between $3525 and $4425 for all students. e.
Transcribed Image Text:The government claims that students earn a mean of $4500 during their summer break from studies. A fandom sample of students gave a sample average of $3975, and a 95% confidence interval was found to be $3525 < j<$4425/Which of the following is a correct interpretation of 95% confidence? a. If the study were to be repeated many times, there is a 95% probability that the true average summer earnings is not $4500 as the government claims. b. Because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500. If we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500. C. d. If we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students. There is a 95% probability that the true average earnings are between $3525 and $4425 for all students. e.
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