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ole of 21 pregnancies is less than 253 days is approximately 0.0724 . ce below and fill in the answer box within your choice. size n=21 pregnancies were obtained from this population, we would expec ize n=21 pregnancies were obtained from this population we would exped

ole of 21 pregnancies is less than 253 days is approximately 0.0724 . ce below and fill in the answer box within your choice. size n=21 pregnancies were obtained from this population, we would expec ize n=21 pregnancies were obtained from this population we would exped

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724. (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 sizen=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of sizen=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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 sizen= 64 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. (e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 253 days or less? This result would be V so the sample likely came from a population whose mean gestation period is V 260 days. Click to select your answer(s) and then click Check Answer.
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724. (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 sizen=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of sizen=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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 sizen= 64 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. (e) What might you conclude if a random sample of 64 pregnancies resulted in a mean gestation period of 253 days or less? This result would be V so the sample likely came from a population whose mean gestation period is V 260 days. Click to select your answer(s) and then click Check Answer.
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