A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about µ if the sample size, n, is 16. (b) Construct a 98% confidence interval about u if the sample size, n, is 12. (c) Construct a 70% confidence interval about μ if the sample size, n, is 16. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 98% confidence interval about µ if the sample size, n, is 16. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about µ if the sample size, n, is 16. (b) Construct a 98% confidence interval about u if the sample size, n, is 12. (c) Construct a 70% confidence interval about μ if the sample size, n, is 16. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 98% confidence interval about µ if the sample size, n, is 16. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found
to be 108, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if the sample size, n, is 16.
(b) Construct a 98% confidence interval about µ if the sample size, n, is 12.
(c) Construct a 70% confidence interval about u if the sample size, n, is 16.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 98% confidence interval about μ if the sample size, n, is 16.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b37097f-a982-4074-a95e-7bc00cf4b046%2Fdedd4448-d6dd-477b-9ce5-f4379f55ec20%2Fu9iaik6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found
to be 108, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if the sample size, n, is 16.
(b) Construct a 98% confidence interval about µ if the sample size, n, is 12.
(c) Construct a 70% confidence interval about u if the sample size, n, is 16.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 98% confidence interval about μ if the sample size, n, is 16.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
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