Txt. 2

The height of women ages 20-29 is normally distributed, with a mean of

64.5

inches. Assume

=2.3

inches. Are you more likely to randomly select 1 woman with a height less than

65.2

inches or are you more likely to select a sample of

30

women with a mean height less than

65.2

inches? Explain.

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Part 1

What is the probability of randomly selecting 1 woman with a height less than

65.2

inches?

enter your response here

(Round to four decimal places as needed.)

Part 2

What is the probability of selecting a sample of

30

women with a mean height less than

65.2

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

65.2

inches or are you more likely to select a sample of

30

women with a mean height less than

65.2

inches? Choose the correct answer below.

A.

It is more likely to select 1 woman with a height less than

65.2

inches because the probability is lower.

B.

It is more likely to select 1 woman with a height less than

65.2

inches because the probability is higher.

C.

It is more likely to select a sample of

30

women with a mean height less than

65.2

inches because the sample of

30

has a lower probability.

D.

It is more likely to select a sample of

30

women with a mean height less than

65.2

inches because the sample of

30

has a higher probability.