Question: 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,

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 a 98% confidence interval about u if the sample size, n, is 22. (b) Construct a 98% confidence interval about u if the sample size, n, is 12. (c) Construct a 70% confidence interval about u if the sample size, n, is 22. (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 u if the sample size, n, is 22. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct a 98% confidence interval about u if the sample size, n, is 12. Lower bound: : Upper bound: (Use ascending order. Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? O A. As the sample size decreases, the margin of error increases. O B. As the sample size decreases, the margin of error decreases. O C. As the sample size decreases, the margin of error stays the same. (c) Construct a 70% confidence interval about u if the sample size, n, is 22. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)
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