Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p= 170 days and standard deviation o = 15 days. Complete parts (a) throughClick here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).(d) What is the probability that a random sample of 34 pregnancies hasmean gestation period of 164 days or less?(Round to four decimal places as needed.)The probability that the mean of a random sample of 34 pregnancies is less than 164 days is approximatelyInterpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.)sample(s) to have a sample mean of 164 days or less.O A. If 100 independent random samples of size n = 34 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 164 days or more.O B.f 100 independent random samples of size n= 34 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of exactly 164 days.O C. If 100 independent random samples of size n= 34 pregnancies were obtained from this population, we would expect(e) What might you conclude if a random sample of 34 pregnancies resulted in a mean gestation period of 164 days or less?170 days.This result would beV so the sample likely came from a population whose mean gestation period is(f) What is the probability a random sample of size 20 will have a mean gestation period within 10 days of the mean?(Round to four decimal places as needed.)The probability that a random sample of size 20 will have a mean gestation period within 10 days of the mean is(1,1)Ask my instructor73°F Mostly cloudyP Type here to searchacerF10F11F12PrtScPauseF4F5F6F7F8F9InsF3Sa LkSysRqBreak Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p= 170 days and standard deviation o = 15 days. Complete parts (a) through (f) belowClick here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2)......- ------ *- ------O C. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last more than 164 days.(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.with u = 170 and o;X.= 3.638The sampling distribution of x isnormal(Round to four decimal places as needed.)(c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 164 days or less?The probability that the mean of a random sample of 17 pregnancies is less than 164 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. Jf 100 independent random samples of size n = 17 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of exactly 164 days.sample(s) to have a sample mean of 164 days or more.O B. If 100 independent random samples of size n= 17 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 164 days or less.O C. If 100 independent random samples of size n = 17 pregnancies were obtained from this population, we would expectoreAsk my instructor73°F Mostly cloudyP Type here to searchacerPauseBreakF12PrtScInsDelF9F10F11F6F7F8Sar LkSysRqF4F5* F2F3z'

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