The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days. Complete parts (a) through (f). (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randomly selected pregnancy lasts less than 262 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.) OA. If 100 pregnant individuals were selected independently from this population, we would expect OB. If 100 pregnant individuals were selected independently from this population, we would expect OC. If 100 pregnant individuals were selected independently from this population, we would expect (b) Suppose a random sample of 48 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with Hand ox (Type integers or decimals rounded to four decimal places as needed.) pregnancies to last more than 262 days. pregnancies to last less than 262 days. pregnancies to last exactly 262 days. +
The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days. Complete parts (a) through (f). (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randomly selected pregnancy lasts less than 262 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.) OA. If 100 pregnant individuals were selected independently from this population, we would expect OB. If 100 pregnant individuals were selected independently from this population, we would expect OC. If 100 pregnant individuals were selected independently from this population, we would expect (b) Suppose a random sample of 48 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with Hand ox (Type integers or decimals rounded to four decimal places as needed.) pregnancies to last more than 262 days. pregnancies to last less than 262 days. pregnancies to last exactly 262 days. +
A First Course in Probability (10th Edition)
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Transcribed Image Text:The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days. Complete parts (a) through (f).
...
(c) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 48 pregnancies is less than 262 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.)
OA. If 100 independent random samples of size n = 48 pregnancies were obtained from this population, we would expect
exactly 262 days.
OB. If 100 independent random samples of size n = 48 pregnancies were obtained from this population, we would expect
262 days or more.
OC. If 100 independent random samples of size n = 48 pregnancies were obtained from this population, we would expect
262 days or less.
(d) What is the probability that a random sample of 111 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 111 pregnancies is less than 262 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.)
sample(s) to have a sample mean of
sample(s) to have a sample mean of
sample(s) to have a sample mean of
Transcribed Image Text:The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days. Complete parts (a) through (f).
(a) What is the probability that a randomly selected pregnancy lasts less than 262 days?
The probability that a randomly selected pregnancy lasts less than 262 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.)
OA. If 100 pregnant individuals were selected independently from this population, we would expect
OB. If 100 pregnant individuals were selected independently from this population, we would expect
OC. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 262 days.
pregnancies to last less than 262 days.
pregnancies to last exactly 262 days.
(b) Suppose a random sample of 48 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
The sampling distribution of x is
with μ = and o=0.
o-
H
(Type integers or decimals rounded to four decimal places as needed.)
(c) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 48 pregnancies is less than 262 days is approximately
/Dound to four decimal places as needed I
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