The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume o =2.8 inches. Are you more likely to randomly select 1 woman with a height less than 66.2 inches or are you more likely to select a sample of 16 women with a mean height less than 66.2 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 66.2 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 16 women with a mean height less than 66.2 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 66.2 inches or are you more likely to select a sample of 16 women with a mean height less than 66.2 inches? Choose the correct answer below. O A. It is more likely to select a sample of 16 women with a mean height less than 66.2 inches because the sample of 16 has a lower probability. B. It is more likely to select 1 woman with a height less than 66.2 inches because the probability is lower. C. It is more likely to select a sample of 16 women with a mean height less than 66.2 inches because the sample of 16 has a higher probability. D. It is more likely to select 1 woman with a height less than 66.2 inches because the probability is higher.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume o =2.8 inches. Are you more likely to randomly select 1 woman with a
height less than 66.2 inches or are you more likely to select a sample of 16 women with a mean height less than 66.2 inches? Explain.
Click the icon to view page 1 of the standard normal table.
Click the icon to view page 2 of the standard normal table.
What is the probability of randomly selecting 1 woman with a height less than 66.2 inches?
(Round to four decimal places as needed.)
What is the probability of selecting a sample of 16 women with a mean height less than 66.2 inches?
(Round to four decimal places as needed.)
Are you more likely to randomly select 1 woman with a height less than 66.2 inches or are you more likely to select a sample of 16 women with a mean height less than
66.2 inches? Choose the correct answer below.
O A. It is more likely to select a sample of 16 women with a mean height less than 66.2 inches because the sample of 16 has a lower probability.
B. It is more likely to select 1 woman with a height less than 66.2 inches because the probability is lower.
C. It is more likely to select a sample of 16 women with a mean height less than 66.2 inches because the sample of 16 has a higher probability.
D. It is more likely to select 1 woman with a height less than 66.2 inches because the probability is higher.
Transcribed Image Text:The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume o =2.8 inches. Are you more likely to randomly select 1 woman with a height less than 66.2 inches or are you more likely to select a sample of 16 women with a mean height less than 66.2 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 66.2 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 16 women with a mean height less than 66.2 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 66.2 inches or are you more likely to select a sample of 16 women with a mean height less than 66.2 inches? Choose the correct answer below. O A. It is more likely to select a sample of 16 women with a mean height less than 66.2 inches because the sample of 16 has a lower probability. B. It is more likely to select 1 woman with a height less than 66.2 inches because the probability is lower. C. It is more likely to select a sample of 16 women with a mean height less than 66.2 inches because the sample of 16 has a higher probability. D. It is more likely to select 1 woman with a height less than 66.2 inches because the probability is higher.
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