The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation = 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 O B. If 100 pregnant individuals were selected independently from this population, we would expect O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. pregnancies to last exactly 262 days. pregnancies to last less than 262 days. (b) Suppose a random sample of 19 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with H and o-=. (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 19 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.) O A. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect OB. 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 262 days or more. sample(s) to have a sample mean of exactly 262 days.

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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.)
A. If 100 pregnant individuals were selected independently from this population, we would expect
B. If 100 pregnant individuals were selected independently from this population, we would expect
O C. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 262 days.
pregnancies to last exactly 262 days.
pregnancies to last less than 262 days.
(b) Suppose a random sample of 19 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
The sampling distribution of x is
with H = and o- =
(Type integers or decimals rounded to four decimal places as needed.)
(c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 19 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.)
A. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect
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 262 days or more.
sample(s) to have a sample mean of exactly 262 days.
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.) A. If 100 pregnant individuals were selected independently from this population, we would expect B. If 100 pregnant individuals were selected independently from this population, we would expect O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. pregnancies to last exactly 262 days. pregnancies to last less than 262 days. (b) Suppose a random sample of 19 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with H = and o- = (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 19 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.) A. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect 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 262 days or more. sample(s) to have a sample mean of exactly 262 days.
C. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect
(d) What is the probability that a random sample of 110 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 110 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.)
A. If 100 independent random samples of size n = 110 pregnancies were obtained from this population, we would expect
B. If 100 independent random samples of size n = 110 pregnancies were obtained from this population, we would expect
C. If 100 independent random samples of size n = 110 pregnancies were obtained from this population, we would expect
(e) What might you conclude if a random sample of 110 pregnancies resulted in a mean gestation period of 262 days or less?
so the sample likely came from a population whose mean gestation period is
(f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean?
The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is
(Round to four decimal places as needed.)
This result would be
sample(s) to have a sample mean of 262 days or less.
sample(s) to have a sample mean of 262 days or less.
sample(s) to have a sample mean of exactly 262 days.
sample(s) to have a sample mean of 262 days or more.
266 days.
Transcribed Image Text:C. If 100 independent random samples of size n = 19 pregnancies were obtained from this population, we would expect (d) What is the probability that a random sample of 110 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 110 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.) A. If 100 independent random samples of size n = 110 pregnancies were obtained from this population, we would expect B. If 100 independent random samples of size n = 110 pregnancies were obtained from this population, we would expect C. If 100 independent random samples of size n = 110 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 110 pregnancies resulted in a mean gestation period of 262 days or less? so the sample likely came from a population whose mean gestation period is (f) What is the probability a random sample of size 17 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 10 days of the mean is (Round to four decimal places as needed.) This result would be sample(s) to have a sample mean of 262 days or less. sample(s) to have a sample mean of 262 days or less. sample(s) to have a sample mean of exactly 262 days. sample(s) to have a sample mean of 262 days or more. 266 days.
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