(a) Construct a 90% confidence interval about μ if the sample size, n, is 21. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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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 105, and the sample standard
deviation, s, is found to be 10.
(a) Construct a 90% confidence interval about μ if the sample size, n, is 21.
(b) Construct a 90% confidence interval about μ if the sample size, n, is 14.
(c) Construct an 80% confidence interval about if the sample size, n, is 21.
(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 90% confidence interval about u if the sample size, n, is 21.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
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 105, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about μ if the sample size, n, is 21. (b) Construct a 90% confidence interval about μ if the sample size, n, is 14. (c) Construct an 80% confidence interval about if the sample size, n, is 21. (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 90% confidence interval about u if the sample size, n, is 21. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.)
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