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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.

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
Section10.4: Distributions Of Data
Problem 19PFA
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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?
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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