The height of women ages 20-29 is normally distributed, with a mean of 63.5 inches. Assume the standard deviation is 2.8 inches.

The height of women ages 20-29 is normally distributed, with a mean of 63.5 inches. Assume the standard deviation is 2.8 inches. Are you more likely to randomly select 1 woman with a height less than 66.1 inches or are you more likely to select a sample of 13 women with a mean height less than 66.1 inches? Explain.

What is the probability of randomly selecting 1 woman with a height less than 66.1 inches?_____ round to four decimal places as needed.

What is the probability of selecting a sample of 13 women with a mean height less than 66.1?____round to four decimal places as needed.

Are you more likely to randomly select 1 woman with a height less than 66.1 inches or are you more likely to select a sample of 13 women with a mean height less than 66.1 inches? Choose the correct answer below.

1. It is more likely to select a sample of 13 women with a mean height less than 66.1 inches because the sample of 13 has a lower probability.
2. It is more likely to select 1 woman with a height less than 6.1 inches because the probability is higher.
3. It is more likely to select a sample of 13 women with a mean height less than 66.1 inches because the sample of 13 has a higher probability.
4. It is more likely to select 1 woman with a height less than 66.1 inches because the probability is lower.