Problem 4 A survey asked "What do you think the ideal number of children for a family to have?". The 590 randomly selected females who gave a numeric responses from 0 to 6 had a median of 2 (M = 2), mean of 2.56 (ī = 2.56), and standard deviation of 0.8 (s = 0.8). a) What is the point estimate of the population mean? b) Calculate the standard error of sample mean and explain what this describes. c) Construct a 95% confidence interval. Show your work and interpret.
Problem 4 A survey asked "What do you think the ideal number of children for a family to have?". The 590 randomly selected females who gave a numeric responses from 0 to 6 had a median of 2 (M = 2), mean of 2.56 (ī = 2.56), and standard deviation of 0.8 (s = 0.8). a) What is the point estimate of the population mean? b) Calculate the standard error of sample mean and explain what this describes. c) Construct a 95% confidence interval. Show your work and interpret.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 4
A survey asked “What do you think the ideal number of children for a family to have?".
The 590 randomly selected females who gave a numeric responses from 0 to 6 had a median
of 2 (M = 2), mean of 2.56 (ī = 2.56), and standard deviation of 0.8 (s = 0.8).
%3D
a) What is the point estimate of the population mean?
b) Calculate the standard error of sample mean and explain what this describes.
c) Construct a 95% confidence interval. Show your work and interpret.
d) Based on your interval from part c), is it plausible that µ = 4? Explain why/why not.
e) Suppose that for males, a 95% confidence interval is 2.4 and 2.6. Can we conclude that
males and females have different average for the ideal number of children?
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