Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 192 days and standard deviation a = 17 days. Complete parts (a) through (f) below.Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2)(a) What is the probability that a randomly selected pregnancy lasts less than 186 days?The probability that a randomly selected pregnancy lasts less than 186 days is approximately(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.)If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last less than 186 days.If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last more than 186 days.OC. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last exactly 186 days.(b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.The sampling distribution of x iswith u=and e;(Round to four decimal places as needed.)(c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 186 days or less?The probability that the mean of a random sample of 19 pregnancies is less than 186 days is approximately(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 n= 19 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of exactly 186 days.B.If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 186 days or les.OC. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 186 days or more.(d) What is the probability that a random sample of 55 pregnancies has a mean gestation period of 186 days or less?The probability that the mean of a random sample of 55 pregnancies is less than 186 days is approximately(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 independent random samples of size n= 55 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 186 days or more.B. If 100 independent random samples of size n= 55 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 186 days or less.C. If 100 independent random samples of size n= 55 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of exactly 186 days.(e) What might you conclude if a random sample of 55 pregnancies resulted in a mean gestation period of 186 days or less?This result would beso the sample likely came from a population whose mean gestation period is192 days.(n What is the probability a random sample of size 18 will have a mean gestation period within 9 days of the mean?The probability that a random sample of size 18 will have a mean gestation period within 9 days of the mean is(Round to four decimal places as needed.)

Name: Suppose the lengths of the pregnancies of a certain animal are approx
Uploaded: 2024-03-20T07:07:50.000Z
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Description: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 192 days and standard deviation a = 17 days. Complete parts (a) through (f) below.Click here to view the standard normal distribution tabl