Question

I just need the answer for E and F, thank you:)

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p=123 days and standard deviation = 13 days. Complete parts (a) through (1) below. (a) What is the probability that a randomly selected pregnancy lasts less than 118 days? The probability that a randomly selected pregnancy lasts less than 118 days is approximately 0.3503). (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.) A. If 100 pregnant individuals were selected independently from this population, we would expect 35 pregnancies to last less than 118 days. B. 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 118 days. OC. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 118 days. () Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The samping distribution of its nomal with us = 123 and e;- 13 (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 118 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 118 days is approximately 0.0606 (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.) A. If 100 independent random samples of size = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 118 days or more B. f 100 independent random samples of size n=18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 118 days. C. 100 independent random samples of size n+18 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 118 days or less. (d) What is the probability that a random sample of 47 pregnancies has a mean gestation period of 118 days or loss? The probability that the mean of a random sample of 47 pregnancies is less than 118 days is approximately 0.0042 (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 100 independent random samples of size n = 47 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 118 days or less. B. 100 Independent random samples of size 47 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 118 days O C. 100 independent random samples of size n-47 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 118 days or more. (c) What might you conclude if a random sample of 47 pregnancies resulted in a mean gestation period of 118 days or loss? This result would be so the sample likely came from a population whose mean gestation period is ( What is the probability a random sample of size 15 will have a mean gestation period within 3 days of the mean? The probability that a random sample of size 15 will have a mean gestation period within 3 days of the mean is. (Round to four decimal places as needed.) V 123 days

Answer 1

In this H= 129; a=13 e) Plå E118) =P[ mit X = 118;n=47 118-123 (314 Plzs -2.64] = 10:0041 The result would be [unusuall so the sample likely came from a population whose mean gestation period's less than 123 days f.) h =15 NII 123-8. = 115 Xq = 123+8 = 131 X-M 131-123 131115 olan 13/105 PC-2.38< Z 52.38) =PLZ<2.38]-P[Zs-2.38) 0.9913-0.0087 10.9826 9 P(115<x<131) =P[15-8123 =