Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. 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=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. B. If 100 independent random samples of sizen=21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of sizen=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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 sizen= 64 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of sizen= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. (e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 253 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 260 days. (f) What is the probability a random sample of size 17 will have a mean gestation period within 12 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 12 days of the mean is (Round to four decimal places as needed.)

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below.
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=21 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 253 days or more.
O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less.
O C. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 253 days.
(d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less?
The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055.
(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 = 64 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 253 days or less.
O B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 253 days.
O C. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 253 days or more.
(e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 253 days or less?
This result would be unusual, so the sample likely came from a population whose mean gestation period is
less than 260 days.
(f) What is the probability a random sample of size 17 will have
mean gestation period within 12 days of the mean?
The probability that a random sample of size 17 will have a mean gestation period within 12 days of the mean is
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. 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=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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 = 64 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. (e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 253 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 260 days. (f) What is the probability a random sample of size 17 will have mean gestation period within 12 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 12 days of the mean is (Round to four decimal places as needed.)
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