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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman