In 2021, the CDC estimated the mean height of U.S. women aged 20 years old and over was 63.5 inches with a standard deviation of 5.2 inches. (https://www.cdc.gov/nchs/fastats/body-measurements.htm) What is the expected mean for a sample of 150 women? What is the standard deviation of the mean for a sample of 150 women? What is the probability of 150 women having a sample mean below 60 inches? What is the probability of 150 women having a sample mean above 65 inches? What is the probability of 200 women having a sample mean below 60 inches? Notice the change in sample size. What is the probability of 200 women having a sample mean above 65 inches?

In 2021, the CDC estimated the mean height of U.S. women aged 20 years old and over was 63.5 inches with a standard deviation of 5.2 inches. (https://www.cdc.gov/nchs/fastats/body-measurements.htm) What is the expected mean for a sample of 150 women? What is the standard deviation of the mean for a sample of 150 women? What is the probability of 150 women having a sample mean below 60 inches? What is the probability of 150 women having a sample mean above 65 inches? What is the probability of 200 women having a sample mean below 60 inches? Notice the change in sample size. What is the probability of 200 women having a sample mean above 65 inches?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 3GP

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Question

In 2021, the CDC estimated the mean height of U.S. women aged 20 years old and over was 63.5 inches with a standard deviation of 5.2 inches. (https://www.cdc.gov/nchs/fastats/body-measurements.htm)

What is the expected mean for a sample of 150 women?
What is the standard deviation of the mean for a sample of 150 women?
What is the probability of 150 women having a sample mean below 60 inches?
What is the probability of 150 women having a sample mean above 65 inches?
What is the probability of 200 women having a sample mean below 60 inches? Notice the change in sample size.
What is the probability of 200 women having a sample mean above 65 inches?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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