Questions: The length of human pregnancies is approximately normal with mean μ=266 days and standard deviation σ=16 days. Complete parts (a) through (f). B. If 100 independent random samples of size n=14 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 258 days or more. C. If 100 independent random samples of size n=14 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 258 days or less. (d) What is the probability that a random sample of 29 pregnancies has a mean gestation period of 258 days or less? The probability that the mean of a random sample of 29 pregnancies is less than 258 days is approximately 0.0035 (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=29 pregnancies were obtained from this population, we would expect 0 sample(s) to have a sample mean of 258 days or less. B. If 100 independent random samples of size n=29 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 258 days or more. C. If 100 independent random samples of size n=29 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 258 days. (e) What might you conclude if a random sample of 29 pregnancies resulted in a mean gestation period of 258 days or less? This result would be so the sample likely came from a population whose mean gestation period is 266 days.

Transcript text: The length of human pregnancies is approximately normal with mean $\mu=266$ days and standard deviation $\sigma=16$ days. Complete parts (a) through (f). B. If 100 independent random samples of size $\mathbf{n}=14$ pregnancies were obtained from this population, we would expect $\square$ sample(s) to have a sample mean of 258 days or more. C. If 100 independent random samples of size $\boldsymbol{n}=14$ pregnancies were obtained from this population, we would expect $\square$ sample(s) to have a sample mean of 258 days or less. (d) What is the probability that a random sample of 29 pregnancies has a mean gestation period of 258 days or less? The probability that the mean of a random sample of 29 pregnancies is less than 258 days is approximately 0.0035 (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 $n=29$ pregnancies were obtained from this population, we would expect 0 sample(s) to have a sample mean of 258 days or less. B. If 100 independent random samples of size $\boldsymbol{n}=29$ pregnancies were obtained from this population, we would expect $\square$ sample(s) to have a sample mean of 258 days or more. C. If 100 independent random samples of size $n=29$ pregnancies were obtained from this population, we would expect $\square$ sample(s) to have a sample mean of exactly 258 days. (e) What might you conclude if a random sample of 29 pregnancies resulted in a mean gestation period of 258 days or less? This result would be $\square$ so the sample likely came from a population whose mean gestation period is $\square$ 266 days.