Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ = 149 days and standard deviation o = 12 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 145 days? The probability that a randomly selected pregnancy lasts less than 145 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 145 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 145 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 145 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 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 145 days or less? The probability that the mean of a random sample of 19 pregnancies is less than 145 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.)

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Interpret this probability. Select the correct choice below and fill in the answer box within
(Round to the nearest integer as needed.)
your choice.
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
145 days or less.
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
145 days or more.
C. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect
exactly 145 days.
sample(s) to have a sample mean of
(d) What is the probability that a random sample of 59 pregnancies has a mean gestation period of 145 days or less?
The probability that the mean of a random sample of 59 pregnancies is less than 145 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= 59 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of
145 days or less.
B. If 100 independent random samples of size n= 59 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of
145 days or more.
C. If 100 independent random samples of size n = 59 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of
Transcribed Image Text:Interpret this probability. Select the correct choice below and fill in the answer box within (Round to the nearest integer as needed.) your choice. 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 145 days or less. 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 145 days or more. C. If 100 independent random samples of size n= 19 pregnancies were obtained from this population, we would expect exactly 145 days. sample(s) to have a sample mean of (d) What is the probability that a random sample of 59 pregnancies has a mean gestation period of 145 days or less? The probability that the mean of a random sample of 59 pregnancies is less than 145 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= 59 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 145 days or less. B. If 100 independent random samples of size n= 59 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 145 days or more. C. If 100 independent random samples of size n = 59 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 149 days and standard deviation o = 12 days.
Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy lasts less than 145 days?
The probability that a randomly selected pregnancy lasts less than 145 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 145 days.
O B. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 145 days.
O C. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last exactly 145 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
with Hx
and o: =
%3D
(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 145 days or less?
The probability that the mean of a random sample of 19 pregnancies is less than 145 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.)
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 149 days and standard deviation o = 12 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 145 days? The probability that a randomly selected pregnancy lasts less than 145 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 145 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 145 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 145 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 with Hx and o: = %3D (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 145 days or less? The probability that the mean of a random sample of 19 pregnancies is less than 145 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.)
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