1st drop down-skewed right, normal, skewed left 2nd drop down-unusual, expected

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1st drop down-skewed right, normal, skewed left 2nd drop down-unusual, expected MATH 1410 Online Fall 2017 Quiz: Quiz #8 (Sections 8.1-8.2) This Question: 1 pt 7of8(5 complete) Suppose te lengths of the preganci sofacertan an al are approxm ately normly distribted wit, man ·216 days and stadad de acro-17dysComplete parts amugh below The samping ástriation of xsl normal Round to four decimal places as needed) |with Pi-arde," (c) What is the probabilty that a random sample of 23 pregnancies has a mean gestation period of 210 days or less? The probability that the mean of a random s mple of 23 proyances is less than 210 days s appro mately (Round to four decimall places as needed) Interpeet this probability Select the correct choice below and 5it in the answer box within your choice (Round to the nearest integer as needed) O A If 100 independent random samples of size n -23 prognancsies were obtained from this population. we would expertsaple)toae a saple of size n - 23 pregnancies were obtained from this popuiation we would expectsnplet) to huve a sample meun of 210 days or miore sampletol to have a sample men of eacty 210 days expedL1umpleis have . srpe mean O C. I1 100 independent random samples of size n 23 pregnancies were obtained from this population, we would expet (d) What is the probability that a random sample of 36 pregnancies has a mean gestation peried of 210 days or less? The probability that the mean of a random sample of 36 pregnancies is less than 210 daysisappromaely (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 f 100 r dependent random samples o, sce n-36 pregnanc es were ottaned from this population we would eged sar peab have a tangle-and 210 dae or O B. I 100 independent random samples of sice n- 36 pregnancies were obtained from this population we would epect sample's) to have a sample mean of exacty 210 days O C. 100 independent random samples of size n - 36 pregnancies were obtained from this population, we would expectsamples)to have a sample mean of 210 days or more (e) What might you conelude if a random sample of 36 pregnancies resulted in a mean gestation period of 210 days or less This resuit would be 216 days | so the sample likely carne from a population weose mean gestahon peno1n (1) What is the probability a random sample of size 20 will have a mean gestation period within 11 days of the mean? The probability that a random sample of size 20 will have a mean gestation period within 11 days of the mean is (Round to four decimal places as needed) Click to select your answer(s)

Explanation / Answer

b. mu:x-bar = 216
SD:x-bar = 17/sqrt(23) = 3.5448
c. P(X-bar<210) = P(Z < ((210 - 216)/3.5448) = P(Z<-1.6926)= 0.04526
Correct Answer: (A) 4.53
d. Given n = 36
P(X-bar<210) = P(Z < ((210 - 216)/(17/sqrt(36)))) = P(Z<-2.1176)= 0.0171
Correct Answer: (A) 1.71

e. 1.71 less than 216
f) P(-11 < X - Xbar < 11) = P(-11/(17/sqrt(20)) <Z<+11/(17/sqrt(20))) = P(-2.8937 <Z<2.8937) = 0.9962

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