A survey asked the question "What do you think is the ideal number of children for a family to have?" The 469 females who responded had a median of 2, mean of 3.2, and standard deviation of 1.78. Answer parts ad a. What is the point estimate of the population mean? b. Find the standard error of the sample mean standard error (Round to three decimal places as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 469 females who responded had a median of 2, mean of 3.2, and standard
deviation of 1.78. Answer parts a-d.
a. What is the point estimate of the population mean?
b. Find the standard error of the sample mean
standard error (Round to three decimal places as needed.)
c. The 95% confidence interval is (3.04, 3.36). Interpret.
OA. We can be 95% confident that a given female will want between 3.04 and 3.36 children.
B. We can be 95% confident that the proportion of females who want children is between 3.04 and 3.36.
C. Ninety-five percent of females want between 3.04 and 3.36 children.
On We can he 95% confident that the mean number of children that females would like to have is between 304 and 3:36
d. Is it plausible that the population mean μ = 2?
OA. No, because 2 falls outside the confidence interval.
B. No, because the sample mean was not 2.
C. Yes, because the median is 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 469 females who responded had a median of 2, mean of 3.2, and standard deviation of 1.78. Answer parts a-d. a. What is the point estimate of the population mean? b. Find the standard error of the sample mean standard error (Round to three decimal places as needed.) c. The 95% confidence interval is (3.04, 3.36). Interpret. OA. We can be 95% confident that a given female will want between 3.04 and 3.36 children. B. We can be 95% confident that the proportion of females who want children is between 3.04 and 3.36. C. Ninety-five percent of females want between 3.04 and 3.36 children. On We can he 95% confident that the mean number of children that females would like to have is between 304 and 3:36 d. Is it plausible that the population mean μ = 2? OA. No, because 2 falls outside the confidence interval. B. No, because the sample mean was not 2. C. Yes, because the median is 2. D. Yes, because 2 falls outside the confidence interval.
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