The height of women ages 20-29 is normally distributed, with a mean of 63.5 inches. Assume o = 2.4 inches. Are you more likely to randomly select 1 woman with a height less than 64.5 inches or are you more likely to select a sample of 17 women with a mean height less than 64.5 inches? Explain. E Click the icon to view page 1 of the standard normal table. E 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 64.5 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 17 women with a mean height less than 64.5 inches? O(Round to four decimal places as needed)

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**The height of women ages 20-29 is normally distributed, with a mean of 63.5 inches. Assume σ = 2.4 inches. Are you more likely to randomly select 1 woman with a height less than 64.5 inches, or are you more likely to select a sample of 17 women with a mean height less than 64.5 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 64.5 inches?**

□ (Round to four decimal places as needed.)

**What is the probability of selecting a sample of 17 women with a mean height less than 64.5 inches?**

□ (Round to four decimal places as needed.)

**Are you more likely to randomly select 1 woman with a height less than 64.5 inches, or are you more likely to select a sample of 17 women with a mean height less than 64.5 inches? Choose the correct answer below.**

A. It is more likely to select a sample of 17 women with a mean height less than 64.5 inches because the sample of 17 has a higher probability.

B. It is more likely to select a sample of 17 women with a mean height less than 64.5 inches because the sample of 17 has a lower probability.

C. It is more likely to select 1 woman with a height less than 64.5 inches because the probability is lower.

D. It is more likely to select 1 woman with a height less than 64.5 inches because the probability is higher.
Transcribed Image Text:**The height of women ages 20-29 is normally distributed, with a mean of 63.5 inches. Assume σ = 2.4 inches. Are you more likely to randomly select 1 woman with a height less than 64.5 inches, or are you more likely to select a sample of 17 women with a mean height less than 64.5 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 64.5 inches?** □ (Round to four decimal places as needed.) **What is the probability of selecting a sample of 17 women with a mean height less than 64.5 inches?** □ (Round to four decimal places as needed.) **Are you more likely to randomly select 1 woman with a height less than 64.5 inches, or are you more likely to select a sample of 17 women with a mean height less than 64.5 inches? Choose the correct answer below.** A. It is more likely to select a sample of 17 women with a mean height less than 64.5 inches because the sample of 17 has a higher probability. B. It is more likely to select a sample of 17 women with a mean height less than 64.5 inches because the sample of 17 has a lower probability. C. It is more likely to select 1 woman with a height less than 64.5 inches because the probability is lower. D. It is more likely to select 1 woman with a height less than 64.5 inches because the probability is higher.
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