A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about u if the sample size, n, is 18.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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9.2.17
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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 109, and the sample standard deviation,
s, is found to be 10.
(a) Construct an 80% confidence interval about u if the sample size, n, is 18.
(b) Construct an 80% confidence interval about u if the sample size, n, is 25.
(c) Construct a 90% confidence interval about u if the sample size, n, is 18.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
E Click the icon to view the table of areas under the t-distribution.
Transcribed Image Text:9.2.17 Question Help ▼ A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about u if the sample size, n, is 18. (b) Construct an 80% confidence interval about u if the sample size, n, is 25. (c) Construct a 90% confidence interval about u if the sample size, n, is 18. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution.
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