The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). 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= 41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more O B. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect 5 sample(s) to have a sample mean of 262 days or less. O C. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days. (d) What is the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 106 pregnancies less than 262 days is approximately 0.0051. (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= 106 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 262 days or less. O B. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or mor O C. If 100 independent random samples of sizen= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days (e) What might you conclude if a random sample of 106 pregnancies resulted in a mean gestation period of 262 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 266 days. (f) 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.)

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The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f).
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=41 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 262 days or more.
YB.
If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect 5 sample(s) to have a sample mean of 262 days or less.
Oc.
If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 262 days.
(d) What is the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 106 pregnancies
less than 262 days is approximately 0.0051.
(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 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 262 days or less.
O B. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 262 days or more.
O C. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 262 days.
(e) What might you conclude if a random sample of 106 pregnancies resulted in a mean gestation period of 262 days or less?
This result would be unusual, so the sample likely came from a population whose mean gestation period is
less than 266 days.
(f) What is the probability a random sample of size 15 will have a mean gestation period within
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.)
Transcribed Image Text:The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). 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=41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. YB. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect 5 sample(s) to have a sample mean of 262 days or less. Oc. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days. (d) What is the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 106 pregnancies less than 262 days is approximately 0.0051. (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 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 262 days or less. O B. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. O C. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days. (e) What might you conclude if a random sample of 106 pregnancies resulted in a mean gestation period of 262 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 266 days. (f) What is the probability a random sample of size 15 will have a mean gestation period within 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.)
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