Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ = 154 days and standard deviation o = 16 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 148 days? The probability that a randomly selected pregnancy lasts less than 148 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.) O A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 148 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 148 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 148 days. (b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is V with u =Uand o =U (Round to four decimal places as needed.) (c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 148 days or less? The probability that the mean of a random sample of 19 pregnancies is less than 148 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.) O A. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 148 days or less. O B. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 148 days or more.

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ= 154 days and standard deviation o = 16 days. Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy lasts less than 148 days?
The probability that a randomly selected pregnancy lasts less than 148 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.)
O A. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last less than 148 days.
O B. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last exactly 148 days.
O C. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 148 days
(b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
The sampling distribution of x is
V with H=
and o, =
(Round to four decimal places as needed.)
(c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 148 days or less?
The probability that the mean of a random sample of 19 pregnancies is less than 148 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.)
O A. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 148 days or less.
O B. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 148 days or more.
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ= 154 days and standard deviation o = 16 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 148 days? The probability that a randomly selected pregnancy lasts less than 148 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.) O A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 148 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 148 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 148 days (b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is V with H= and o, = (Round to four decimal places as needed.) (c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 148 days or less? The probability that the mean of a random sample of 19 pregnancies is less than 148 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.) O A. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 148 days or less. O B. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 148 days or more.
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 154 days and standard deviation o = 16 days. Complete parts (a) through (f) below.
O A. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 148 days or less.
O B. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 148 days or more.
O C. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 148 days.
(d) What is the probability that a random sample of 41 pregnancies has a mean gestation period of 148 days or less?
The probability that the mean of a random sample of 41 pregnancies is less than 148 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.)
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 exactly 148 days.
O B. 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 148 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 148 days or more.
(e) What might you conclude if a random sample of 41 pregnancies resulted in a mean gestation period of 148 days or less?
This result would be
so the sample likely came from a population whose mean gestation period is
154 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.)
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 154 days and standard deviation o = 16 days. Complete parts (a) through (f) below. O A. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 148 days or less. O B. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 148 days or more. O C. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 148 days. (d) What is the probability that a random sample of 41 pregnancies has a mean gestation period of 148 days or less? The probability that the mean of a random sample of 41 pregnancies is less than 148 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.) 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 exactly 148 days. O B. 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 148 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 148 days or more. (e) What might you conclude if a random sample of 41 pregnancies resulted in a mean gestation period of 148 days or less? This result would be so the sample likely came from a population whose mean gestation period is 154 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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