Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 282 days and standard deviation o = 29 days. Complete parts (a) through (f) below. (d) What is the probability that a random sample of 61 pregnancies has a mean gestation period of 272 days or less? The probability that the mean of a random sample of 61 pregnancies is less than 272 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= 61 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 272 days. O B. If 100 independent random samples of size n= 61 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 272 days or less. O C. If 100 independent random samples of size n=61 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 272 days or more. (e) What might you conclude if a random sample of 61 pregnancies resulted in a mean gestation period of 272 days or less? This result would be V so the sample likely came from a population whose mean gestation period is 282 days. (f) What is the probability a random sample of size 15 will have a mean gestation period within 12 days of the mean?
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 282 days and standard deviation o = 29 days. Complete parts (a) through (f) below. (d) What is the probability that a random sample of 61 pregnancies has a mean gestation period of 272 days or less? The probability that the mean of a random sample of 61 pregnancies is less than 272 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= 61 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 272 days. O B. If 100 independent random samples of size n= 61 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 272 days or less. O C. If 100 independent random samples of size n=61 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 272 days or more. (e) What might you conclude if a random sample of 61 pregnancies resulted in a mean gestation period of 272 days or less? This result would be V so the sample likely came from a population whose mean gestation period is 282 days. (f) What is the probability a random sample of size 15 will have a mean gestation period within 12 days of the mean?
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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4 (Parts D,E,F)
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean µ = 282 days and standard deviation o = 29 days. Complete parts (a) through (f) below.
(d) What is the probability that a random sample of 61 pregnancies has a mean gestation period of 272 days or less?
The probability that the mean of a random sample of 61 pregnancies is less than 272 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 = 61 pregnancies were obtained from this population, we would expect
%3D
sample(s) to have a sample mean of exactly 272 days.
O B. If 100 independent random samples of size n= 61 pregnancies were obtained from this population, we would expect
%3D
sample(s) to have a sample mean of 272 days or less.
O C. If 100 independent random samples of size n = 61 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 272 days or more.
(e) What might you conclude if a random sample of 61 pregnancies resulted in a mean gestation period of 272 days or less?
This result would be
V so the sample likely came from a population whose mean gestation period is
V 282 days.
(f) What is the probability a random sample of size 15 will have a mean gestation period within 12 days of the mean?
The probability that a random sample of size 15 will have a mean gestation period within 12 days of the mean is
(Round to four decimal places as needed.)
Click to select your answer(s).
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