Suppose the lengths of the prognancies of a certain anmal are approximately normally distributed with meanu- 154 days and slandard develion a 16 days Complete parts (a) through (n below (d) What is the probabily that a random sample of 41 prognancies has a mean gestation period of 148 days or less? The probability that the mean of a random sample of 41 pregrancies is less than 148 days is approximately (Round te four decmal places as needed) Interpret this probabity Select the crect choke bekw and fil in the answer box within your chaice (Round to the nearost teger as needed.) OA 100 ndependent randem samples of size n41 prognancies were ootained trom this population, we would expect samplelsi ta have a sampla mean of nxacty 148 days OB 100 independent random samples of size n-41 pregnancies were obtained hom this population, we woult expoct sumples) to have a sampie mean ef 148 days or less lated: Oc 100 indopendent random samples of szena41 pregnancies were ottained trom his pepuleton we woud epect samples) to have a sample mean of 148 days ur mere (e) What might you conclude t a random sample of 41 pregnanciers resutad in a mean gestaton period of 145 deys or iass? This t wouks be M the sample ly came hum a pepulston whose mean gastston period is 154 days m Whu the prutbty andom samok of size t5 hamoan gestaton penod wth days of the moan? pret this probability. Select the correct choice below and fill in the answer box within your choice. und to the nearest integer as needed ) A. II 100 independent random samples of size n=41 prognancies were obtained from this population, we would sample(s) to have a sample mean of exactly 148 days. DB. I1 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would e sample(s) to have a sample mean of 148 days or less. OC. IH 100 independent random samples of size n = 41 prognancies were oblained from this population, we would exp sample(s) to have a sample mean of 148 days or more. (e) What might you conclude it a random sample of 41 pregnancies resulted in a mean gestation period of 148 days or less This result wouid be so the sample likely came from a population whose mean gestation period is 154 days (n What is the probability a random sample of size 15 will have a mean gestation period within 9 days of the mean? The probability that a random sample of size 15 will have a mean gestation period within 9 days of the mean is (Round to four decimal places as needed)