The height of women ages​ 20-29 is normally​ distributed, with a mean of 63.6 inches. Assume σ=2.8 inches. Are you more likely to randomly select 1 woman with a height less than 65.5 inches or are you...




The height of women ages​ 20-29 is normally​ distributed, with a mean of
63.6

inches. Assume
σ=2.8

inches. Are you more likely to randomly select 1 woman with a height less than
65.5

inches or are you more likely to select a sample of
21

women with a mean height less than
65.5

​inches? Explain.




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What is the probability of randomly selecting 1 woman with a height less than
65.5

​inches?



nothing

​(Round to four decimal places as​ needed.)

What is the probability of selecting a sample of
21

women with a mean height less than
65.5

​inches?



nothing

​(Round to four decimal places as​ needed.)

Are you more likely to randomly select 1 woman with a height less than
65.5

inches or are you more likely to select a sample of
21

women with a mean height less than
65.5

​inches? Choose the correct answer below.







A.


It is more likely to select a sample of
21

women with a mean height less than
65.5

inches because the sample of
21

has a lower probability.






B.


It is more likely to select 1 woman with a height less than
65.5

inches because the probability is higher.






C.


It is more likely to select 1 woman with a height less than
65.5

inches because the probability is lower.






D.


It is more likely to select a sample of
21

women with a mean height less than
65.5

inches because the sample of
21

has a higher probability.








Jun 08, 2022
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