Question

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean ? = 179 days and standard deviation ? = 11 days. Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). B. If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 175 days. C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 175 days. (b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x? is normal with ?_x? = 179 and ?_x? = 2.5927. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 175 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 175 days is approximately 0.0618. (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 = 18 pregnancies were obtained from this population, we would expect 6 sample(s) to have a sample mean of 175 days or less. B. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 175 days or more. C. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 175 days. (d) What is the probability that a random sample of 47 pregnancies has a mean gestation period of 175 days or less? The probability that the mean of a random sample of 47 pregnancies is less than 175 days is approximately . (Round to four decimal places as needed.)

          Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean ? = 179 days and standard deviation ? = 11 days. Complete parts (a) through (f) below.

Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).

B. If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 175 days.
C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 175 days.

(b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

The sampling distribution of x? is normal with ?_x? = 179 and ?_x? = 2.5927.
(Round to four decimal places as needed.)

(c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 175 days or less?

The probability that the mean of a random sample of 18 pregnancies is less than 175 days is approximately 0.0618. (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 = 18 pregnancies were obtained from this population, we would expect 6 sample(s) to have a sample mean of 175 days or less.
B. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 175 days or more.
C. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 175 days.

(d) What is the probability that a random sample of 47 pregnancies has a mean gestation period of 175 days or less?

The probability that the mean of a random sample of 47 pregnancies is less than 175 days is approximately . (Round to four decimal places as needed.)

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean ? = 179 days and standard deviation ? = 11 days. Complete parts (a) through (f) below.

Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).

B. If 100 pregnant individuals were selected independently from this population, we would expect 36 pregnancies to last less than 175 days.
C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 175 days.

(b) Suppose a random sample of 18 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

The sampling distribution of x? is normal with ?x? = 179 and ?x? = 2.5927.
(Round to four decimal places as needed.)

(c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 175 days or less?

The probability that the mean of a random sample of 18 pregnancies is less than 175 days is approximately 0.0618. (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 = 18 pregnancies were obtained from this population, we would expect 6 sample(s) to have a sample mean of 175 days or less.
B. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 175 days or more.
C. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 175 days.

(d) What is the probability that a random sample of 47 pregnancies has a mean gestation period of 175 days or less?

The probability that the mean of a random sample of 47 pregnancies is less than 175 days is approximately . (Round to four decimal places as needed.)

Added by Cristina B.

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