Which of the following interpretations is correct? a. We are 95% confident that xˉxˉ lies between 3.047 and 3.273. b. We are 95% confident that the population mean lies between 3.047 and 3.273. c. There is a 95% chance that xˉxˉ lies between 3.047 and 3.273. d. There is a 95% chance that the population mean lies between 3.047 and 3.273. e. None of the other choices is correct.

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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As part of the General Social Survey, 1097 randomly selected American females were asked, “What do you think is the ideal number of children for a family to have?” The sample mean was 3.16 and the sample standard deviation was 1.91. The data from the survey did not contain any extreme outliers.

 

Suppose that the 95% confidence interval for the population mean is (3.047, 3.273). Which of the following interpretations is correct?

a. We are 95% confident that xˉxˉ lies between 3.047 and 3.273.

b. We are 95% confident that the population mean lies between 3.047 and 3.273.

c. There is a 95% chance that xˉxˉ lies between 3.047 and 3.273.

d. There is a 95% chance that the population mean lies between 3.047 and 3.273.

e. None of the other choices is correct.

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