The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume σ = 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. 1. What is the probability of randomly selecting 1 woman with a height less than 66.2 inches? (Round to four decimal places as needed.) 2. 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. - 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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume σ = 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.

1. What is the probability of randomly selecting 1 woman with a height less than 66.2 inches?
   (Round to four decimal places as needed.)

2. 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.

- 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 σ = 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. 1. What is the probability of randomly selecting 1 woman with a height less than 66.2 inches? (Round to four decimal places as needed.) 2. 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. - 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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