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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below. O A. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O B. 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 196 days. 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 196 days or more. (d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 48 pregnancies is less than 196 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= 48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 196 days. O B. If 100 independent random samples of sizen=48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O C. If 100 independent random samples of sizen=48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or more. (e) What might you conclude if a random sample of 48 pregnancies resulted in a mean gestation period of 196 days or less? This result would be so the sample likely came from a population whose mean gestation period is V 203 days. (f) What is the nrobability a random sample of size 15 will have a mean gestation period within 8 davs of the mean?

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below. O A. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O B. 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 196 days. 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 196 days or more. (d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 48 pregnancies is less than 196 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= 48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 196 days. O B. If 100 independent random samples of sizen=48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O C. If 100 independent random samples of sizen=48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or more. (e) What might you conclude if a random sample of 48 pregnancies resulted in a mean gestation period of 196 days or less? This result would be so the sample likely came from a population whose mean gestation period is V 203 days. (f) What is the nrobability a random sample of size 15 will have a mean gestation period within 8 davs of the mean?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ= 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below. O A. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 196 days. O C. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or more. (d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 48 pregnancies is less than 196 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= 48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 196 days. O B. If 100 independent random samples of size n= 48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O C. If 100 independent random samples of sizen=48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or more. (e) What might you conclude if a random sample of 48 pregnancies resulted in a mean gestation period of 196 days or less? This result would be V so the sample likely came from a population whose mean gestation period is V 203 days. (fA What is the probability a random samnle of size 15 will have a mean gestation neriod within 8 davs of the mean?
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ= 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below. O A. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 196 days. O C. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or more. (d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 48 pregnancies is less than 196 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= 48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 196 days. O B. If 100 independent random samples of size n= 48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or less. O C. If 100 independent random samples of sizen=48 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 196 days or more. (e) What might you conclude if a random sample of 48 pregnancies resulted in a mean gestation period of 196 days or less? This result would be V so the sample likely came from a population whose mean gestation period is V 203 days. (fA What is the probability a random samnle of size 15 will have a mean gestation neriod within 8 davs of the mean?
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