Question

8

The height of women ages 20-29 is normally distributed, with a mean of 642 inches. Assume o = 27 inches. Are you more likely to randomly select 1 woman with a height less than 65.4 inches or are you more likely to select a sample of 15 women with a mean height less than 65.4 inches? Explain. Click the icon to view page 1 of the standard normal table B 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 65.4 inches? (Round to four decimal places as needed) What is the probability of selecting a sample of 15 women with a mean height less than 65.4 inches? (Round to four decimal places as needed) Are you more likely to randomly select 1 woman with a height less than 65.4 inches or are you more likely to select a sample of 15 women with a mean height loss than 65 4 inches? Choose the correct answer below. O A. It is more likely to select 1 woman with a height less than 65.4 inches because the probability is higher OB. It is more likely to select 1 woman with a height loss than 65 4 inches because the probability is lower O C. It is more likely to select a sample of 15 women with a mean heightless than 65.4 inches because the sample of 15 has a higher probability

Answer 1

het the random variable x denotes the height of women of ages 20-29 and X NN(64.2, 2.7), where M = 64.2 and r= 2. If YN NCM, &), then z= a) we have to find plx < 65.4) X-M ~ N(0,1) P(x-64. 2 < 6501 - 64.2) 2. 2. = P(Z <0.4H) = 0.5 + P(O<Z<0.44) = 0.5 +0.1700 0 0.44 0.6700 GIE 6) If XNNchio), then XNN(M, o. Za X - К N NCO,1) ol Jn Given n = 15 we have to find pl X < 65.4)