Quizzes & Tests Take a Test-Demi Freeman MAT 2022 3B 2018 Demi Freeman ? | 7/29/
ID: 2908487 • Letter: Q
Question
Quizzes & Tests Take a Test-Demi Freeman MAT 2022 3B 2018 Demi Freeman ? | 7/29/18 8:09 PM Test: Exam 3 Time Remaining: 00:44:02 Submit Test This Question: 1 pt 14 of 30 (24 complete) This Test: 30 pts possible The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume ? = 2.5 inches. Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 22 women with a mean height less than 65.3 inches? Explain. EEB Click the icon to view page 1 of the standard normal table ? What is the probability of randomly selecting 1 woman with a height less than 65.3 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 22 women with a mean height less than 65.3 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 22 women with a mean height less Click the icon to view page 2 of the standard normal table. than 65.3 inches? Choose the correct answer below. O A. Itis more likely to select a sample of 22 women with a mean height less than 65.3 inches because the sample of 22 has a higher probability. 0 B. it is more likely to select 1 woman with a height less than 65.3 inches because the probability is lower. it is more likely to select 1 woman with a height less than 65.3 inches because the probability is higher c. O D. It is more likely to select a sample of 22 women with a mean height less than 65.3 inches because the sample of 22 has a lower probability. Click to select your answerís).Explanation / Answer
1)P(selecting 1 women height less than 65.3 inch)=P(X<65.3)=P(Z<(65.3-64.6)/2.5)=P(Z<0.28)
=0.6103
2)
P(selecting 22 women height less than 65.3 inch)=P(Xbar<65.3)
=P(Z<(65.3-64.6)*sqrt(22)/2.5)=P(Z<1.31)=0.9049
3)
option A is correct
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