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
Section10.5: Comparing Sets Of Data
Problem 1GP
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Question
In 2021, the CDC estimated the
- 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?
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VIEWStep 2: Find the expected mean
VIEWStep 3: Find the standard deviation of the mean for a sample
VIEWStep 4: Find the probability of 150 women having a sample mean below 60 inches
VIEWStep 5: Find the probability of 150 women having a sample mean above 65 inches
VIEWStep 6: Find the probability of 200 women having a sample mean below 60 inches
VIEWStep 7: Find the probability of 200 women having a sample mean above 65 inches
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