Question

What is the formula for stat question 8.1.19-, section f?

Elizabe MAT-240-T3402 Applied Statistics 19EW3 Homework: 2-2 MyStatLab: Module Two Problem Set Score: 0.42 of 5 pts 11 of 15 (10 complete) 8.1.19-T o 24 days (d) What is the probability that a random sample of 43 pregnandies has a mean gestation period of 256 days or less? The probability that the mean of a random sample of 43 pregnancies is less than 256 days is approximately 0.0144 (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice Round to the nearest integer as needed) O A. If 100 100 indapendent random samples of size n 43 pregnancdies were obsained from this population, we would expect 1 sample(o) to have a sample mean of 256 days or less sample(s) to have a sample mean of exactly 256 days H 100 independent random samples of size n 43 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 43 pregnancies resulted in a mean gestation period of 256 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 264 days I) What is the probability a random sample of size 17 will have a mean gestation period within 12 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 12 days of the mean is 0.8544 Round to four decimal places as needed)

Answer 1

f.Here n = 17, μ = 264, σ = 24 P(264 12 < X < 264 12)P(252 < X < 276) = P (252820264 276820264) 5.8209-σ/vm-5.8209 P(-2.0615 < Z < 2.0615) P(Z-2.0615) _ Pr(Z <-2.0615) 0.9804-0.0196 0.9607