The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (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.

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(c) What is the probability that a random sample of 42 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 42 pregnancies is less than 262 days is
(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 independent random samples of size n = 42 pregnancies were obtained from this population, we would expect
OB. If 100 independent random samples of size n = 42 pregnancies were obtained from this population, we would expect
OC. If 100 independent random samples of size n = 42 pregnancies were obtained from this population, we would expect
(d) What is the probability that a random sample of 95 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 95 pregnancies is less than 262 days is
(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 independent random samples of size n = 95 pregnancies were obtained from this population, we would expect
OB. If 100 independent random samples of size n = 95 pregnancies were obtained from this population, we would expect
OC. If 100 independent random samples of size n = 95 pregnancies were obtained from this population, we would expect
(e) What might you conclude if a random sample of 95 pregnancies resulted in a mean gestation period of 262 days or less?
This result would be
so the sample likely came from a population whose mean gestation period is
.
sample(s) to have a sample mean of 262 days or more.
sample(s) to have a sample mean of exactly 262 days.
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 262 days or more.
sample(s) to have a sample mean of exactly 262 days.
266 days.
Transcribed Image Text:(c) What is the probability that a random sample of 42 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 42 pregnancies is less than 262 days is (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 independent random samples of size n = 42 pregnancies were obtained from this population, we would expect OB. If 100 independent random samples of size n = 42 pregnancies were obtained from this population, we would expect OC. If 100 independent random samples of size n = 42 pregnancies were obtained from this population, we would expect (d) What is the probability that a random sample of 95 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 95 pregnancies is less than 262 days is (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 independent random samples of size n = 95 pregnancies were obtained from this population, we would expect OB. If 100 independent random samples of size n = 95 pregnancies were obtained from this population, we would expect OC. If 100 independent random samples of size n = 95 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 95 pregnancies resulted in a mean gestation period of 262 days or less? This result would be so the sample likely came from a population whose mean gestation period is . sample(s) to have a sample mean of 262 days or more. sample(s) to have a sample mean of exactly 262 days. 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 262 days or more. sample(s) to have a sample mean of exactly 262 days. 266 days.
The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days.
Complete parts (a) through (f).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(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
to last less than 262 days.
OB. If 100 pregnant individuals were selected independently from this population, we would expect
to last more than 262 days.
OC. If 100 pregnant individuals were selected independently from this population, we would expect
to last exactly 262 days.
The sampling distribution of x is
(Round to four decimal places as needed.)
with Hx=
pregnancies
(b) Suppose a random sample of 42 human pregnancies is obtained. Describe the sampling distribution of the sample
mean length of pregnancies.
and ₁=₁
pregnancies
pregnancies
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). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (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 to last less than 262 days. OB. If 100 pregnant individuals were selected independently from this population, we would expect to last more than 262 days. OC. If 100 pregnant individuals were selected independently from this population, we would expect to last exactly 262 days. The sampling distribution of x is (Round to four decimal places as needed.) with Hx= pregnancies (b) Suppose a random sample of 42 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. and ₁=₁ pregnancies pregnancies
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