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a. What is the point estimate of the population mean? 3.38 b. Find the standard error of the sample mean. standard error = 0.082 (Round to three decimal places as needed.) c. The 95% confidence interval is (3.22, 3.54). Interpret. A. We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54. B. Ninety-five percent of females want between 3.22 and 3.54 children. C. We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54. D. We can be 95% confident that a given female will want between 3.22 and 3.54 children. d. Is it plausible that the population mean μ = 2? O A. No, because 2 falls outside the confidence interval. B. Yes, because the median is 2. C. No, because the sample mean was not 2. D. Yes, because 2 falls outside the confidence interval.

a. What is the point estimate of the population mean? 3.38 b. Find the standard error of the sample mean. standard error = 0.082 (Round to three decimal places as needed.) c. The 95% confidence interval is (3.22, 3.54). Interpret. A. We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54. B. Ninety-five percent of females want between 3.22 and 3.54 children. C. We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54. D. We can be 95% confident that a given female will want between 3.22 and 3.54 children. d. Is it plausible that the population mean μ = 2? O A. No, because 2 falls outside the confidence interval. B. Yes, because the median is 2. C. No, because the sample mean was not 2. D. Yes, because 2 falls outside the confidence interval.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A survey asked the question "What do you think is the ideal number of children for a family to have?" The 532 females who responded had a median of 2, mean of 3.38, and standard deviation of 1.9. Answer parts a-d. a. What is the point estimate of the population mean? 3.38 b. Find the standard error of the sample mean. standard error = 0.082 (Round to three decimal places as needed.) c. The 95% confidence interval is (3.22, 3.54). Interpret. A. We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54. B. Ninety-five percent of females want between 3.22 and 3.54 children. C. We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54. D. We can be 95% confident that a given female will want between 3.22 and 3.54 children. d. Is it plausible that the population mean μ = 2? A. No, because 2 falls outside the confidence interval. B. Yes, because the median is 2. C. No, because the sample mean was not 2. D. Yes, because 2 falls outside the confidence interval.
Transcribed Image Text:A survey asked the question "What do you think is the ideal number of children for a family to have?" The 532 females who responded had a median of 2, mean of 3.38, and standard deviation of 1.9. Answer parts a-d. a. What is the point estimate of the population mean? 3.38 b. Find the standard error of the sample mean. standard error = 0.082 (Round to three decimal places as needed.) c. The 95% confidence interval is (3.22, 3.54). Interpret. A. We can be 95% confident that the mean number of children that females would like to have is between 3.22 and 3.54. B. Ninety-five percent of females want between 3.22 and 3.54 children. C. We can be 95% confident that the proportion of females who want children is between 3.22 and 3.54. D. We can be 95% confident that a given female will want between 3.22 and 3.54 children. d. Is it plausible that the population mean μ = 2? A. No, because 2 falls outside the confidence interval. B. Yes, because the median is 2. C. No, because the sample mean was not 2. D. Yes, because 2 falls outside the confidence interval.
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