Question

The height of women ages​ 20-29 is normally​ distributed, with a mean of 65 inches. Assume sigmaσ=2.6 inches.

Are you more likely to randomly select 1 woman with a height less than 67.1 inches or are you more likely to select a sample of 15 women with a mean height less than 67.1

​inches?

1. What is the probability of randomly selecting 1 woman with a height less than 67.1 inches? ___ (Round to four decimal places as​ needed.)

2. What is the probability of selecting a sample of 15 women with a mean height less than 67.1 ​inches? __ (Round to four decimal places as​ needed.)

Are you more likely to randomly select 1 woman with a height less than 67.1 inches or are you more likely to select a sample of 15 women with a mean height less than 67.1 ​inches? Choose the correct answer below.

A.It is more likely to select 1 woman with a height less than 67.1 inches because the probability is lower.

B.It is more likely to select a sample of 15 women with a mean height less than 67.1 inches because the sample of 15 has a higher probability.

C.It is more likely to select 1 woman with a height less than 67.1 inches because the probability is higher.

D.It is more likely to select a sample of 15 women with a mean height less than 67.1 inches because the sample of 15 has a lower probability.

Answer 1