The height of women ages 20-29 is normally distributed, with a mean of 64.3 inches. Assume σ=2.7 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Explain. LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table. Question content area bottom Part 1 What is the probability of randomly selecting 1 woman with a height less than 64.9 inches? enter your response here (Round to four decimal places as needed.) Part 2 What is the probability of selecting a sample of 20 women with a mean height less than 64.9 inches? enter your response here (Round to four decimal places as needed.) Part 3 Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Choose the correct answer below. A. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a higher probability. B. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is higher. C. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is lower. D. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a lower probability.
The height of women ages 20-29 is normally distributed, with a mean of 64.3 inches. Assume σ=2.7 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Explain. LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table. Question content area bottom Part 1 What is the probability of randomly selecting 1 woman with a height less than 64.9 inches? enter your response here (Round to four decimal places as needed.) Part 2 What is the probability of selecting a sample of 20 women with a mean height less than 64.9 inches? enter your response here (Round to four decimal places as needed.) Part 3 Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Choose the correct answer below. A. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a higher probability. B. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is higher. C. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is lower. D. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a lower probability.
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
Related questions
Question
The height of women ages 20-29 is normally distributed , with a mean of
64.3
inches. Assume
σ=2.7
inches. Are you more likely to randomly select 1 woman with a height less than
64.9
inches or are you more likely to select a sample of
20
women with a mean height less than
64.9
inches? Explain.LOADING...
LOADING...
Question content area bottom
Part 1
What is the probability of randomly selecting 1 woman with a height less than
64.9
inches?enter your response here
(Round to four decimal places as needed.)Part 2
What is the probability of selecting a sample of
20
women with a mean height less than
64.9
inches?enter your response here
(Round to four decimal places as needed.)Part 3
Are you more likely to randomly select 1 woman with a height less than
64.9
inches or are you more likely to select a sample of
20
women with a mean height less than
64.9
inches? Choose the correct answer below.It is more likely to select a sample of
20
women with a mean height less than
64.9
inches because the sample of
20
has a higher probability.It is more likely to select 1 woman with a height less than
64.9
inches because the probability is higher.It is more likely to select 1 woman with a height less than
64.9
inches because the probability is lower.It is more likely to select a sample of
20
women with a mean height less than
64.9
inches because the sample of
20
has a lower probability.Expert Solution
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