The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume o = 2.9 inches. Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you more likely to select a sample of 21 women with a mean height less than 66.3 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.

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The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume o = 2.9
inches. Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you
more likely to select a sample of 21 women with a mean height less than 66.3 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 66.3 inches?
(Round to four decimal places as needed.)
What is the probability of selecting a sample of 21 women with a mean height less than 66.3 inches?
(Round to four decimal places as needed.)
Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you more likely
to select a sample of 21 women with a mean height less than 66.3 inches? Choose the correct answer
below.
O A. It is more likely to select a sample of 21 women with a mean height less than 66.3 inches because
the sample of 21 has a higher probability.
B. It is more likely to select 1 woman with a height less than 66.3 inches because the probability is
higher.
C. It is more likely to select a sample of 21 women with a mean height less than 66.3 inches because
the sample of 21 has a lower probability.
D. It is more likely to select 1 woman with a height less than 66.3 inches because the probability is
lower.
Transcribed Image Text:The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume o = 2.9 inches. Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you more likely to select a sample of 21 women with a mean height less than 66.3 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 66.3 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 21 women with a mean height less than 66.3 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you more likely to select a sample of 21 women with a mean height less than 66.3 inches? Choose the correct answer below. O A. It is more likely to select a sample of 21 women with a mean height less than 66.3 inches because the sample of 21 has a higher probability. B. It is more likely to select 1 woman with a height less than 66.3 inches because the probability is higher. C. It is more likely to select a sample of 21 women with a mean height less than 66.3 inches because the sample of 21 has a lower probability. D. It is more likely to select 1 woman with a height less than 66.3 inches because the probability is lower.
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