1. A survey asked the question "What do you think is the ideal number of children for a family to have?" The 495 females who responded had a median of 2, mean of 3.41, and standard deviation of 1.1. 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 = c. The 95% confidence interval is (3.31, 3.51). Interpret. (Round to three decimal places as needed.) A. We can be 95% confident that the mean number of children that females would like to have is between 3.31 and 3.51. B. We can be 95% confident that the proportion of females who want children is between 3.31 and 3.51. C. Ninety-five percent of females want between 3.31 and 3.51 children. D. We can be 95% confident that a given female will want between 3.31 and 3.51 children. d. Is it plausible that the population mean μ = 2? OA. Yes, because the median is 2. OB. No, because the sample mean was not 2. OC. Yes, because 2 falls outside the confidence interval. OD. No, because 2 falls outside the confidence interval.
1. A survey asked the question "What do you think is the ideal number of children for a family to have?" The 495 females who responded had a median of 2, mean of 3.41, and standard deviation of 1.1. 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 = c. The 95% confidence interval is (3.31, 3.51). Interpret. (Round to three decimal places as needed.) A. We can be 95% confident that the mean number of children that females would like to have is between 3.31 and 3.51. B. We can be 95% confident that the proportion of females who want children is between 3.31 and 3.51. C. Ninety-five percent of females want between 3.31 and 3.51 children. D. We can be 95% confident that a given female will want between 3.31 and 3.51 children. d. Is it plausible that the population mean μ = 2? OA. Yes, because the median is 2. OB. No, because the sample mean was not 2. OC. Yes, because 2 falls outside the confidence interval. OD. No, because 2 falls outside the confidence interval.
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
Related questions
Question
![1. A survey asked the question "What do you think is the ideal number of children for a family to have?" The 495 females who responded had
a median of 2, mean of 3.41, and standard deviation of 1.1. 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 (3.31, 3.51). Interpret.
A. We can be 95% confident that the mean number of children that females would like to have is
between 3.31 and 3.51.
B. We can be 95% confident that the proportion of females who want children is between 3.31 and
3.51.
C. Ninety-five percent of females want between 3.31 and 3.51 children.
D. We can be 95% confident that a given female will want between 3.31 and 3.51 children.
d. Is it plausible that the population mean μ = 2?
A. Yes, because the median is 2.
B. No, because the sample mean was not 2.
C. Yes, because 2 falls outside the confidence interval.
D. No, because 2 falls outside the confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8acd4021-f643-407d-9d42-7124cf5151d6%2F96ec1a34-aba5-44c4-9cef-36931da32333%2Feihsv5i_processed.png&w=3840&q=75)
Transcribed Image Text:1. A survey asked the question "What do you think is the ideal number of children for a family to have?" The 495 females who responded had
a median of 2, mean of 3.41, and standard deviation of 1.1. 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 (3.31, 3.51). Interpret.
A. We can be 95% confident that the mean number of children that females would like to have is
between 3.31 and 3.51.
B. We can be 95% confident that the proportion of females who want children is between 3.31 and
3.51.
C. Ninety-five percent of females want between 3.31 and 3.51 children.
D. We can be 95% confident that a given female will want between 3.31 and 3.51 children.
d. Is it plausible that the population mean μ = 2?
A. Yes, because the median is 2.
B. No, because the sample mean was not 2.
C. Yes, because 2 falls outside the confidence interval.
D. No, because 2 falls outside the confidence interval.
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