You may need to use the appropriate appendix table or technology to answer this question. A simple random sample with n = 33 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to two decimal places.) (a) Develop a 90% confidence interval for the population mean. 23.24 X to 25.75 × (b) Develop a 95% confidence interval for the population mean. 22.99 X to 26.00 (c) Develop a 99% confidence interval for the population mean. 22.52 X to 26.47 (d) What happens to the margin of error and the confidence interval as the confidence level is increased? As the confidence level increases, there is a larger margin of error and a wider confidence interval. As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval. As the confidence level increases, there is a smaller margin of error and a wider confidence interval. As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You may need to use the appropriate appendix table or technology to answer this question.
A simple random sample with n = 33 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your
answers to two decimal places.)
(a) Develop a 90% confidence interval for the population mean.
23.24
X to 25.75
×
(b) Develop a 95% confidence interval for the population mean.
22.99
X to 26.00
(c) Develop a 99% confidence interval for the population mean.
22.52
X to 26.47
(d) What happens to the margin of error and the confidence interval as the confidence level is increased?
As the confidence level increases, there is a larger margin of error and a wider confidence interval.
As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.
As the confidence level increases, there is a smaller margin of error and a wider confidence interval.
As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A simple random sample with n = 33 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to two decimal places.) (a) Develop a 90% confidence interval for the population mean. 23.24 X to 25.75 × (b) Develop a 95% confidence interval for the population mean. 22.99 X to 26.00 (c) Develop a 99% confidence interval for the population mean. 22.52 X to 26.47 (d) What happens to the margin of error and the confidence interval as the confidence level is increased? As the confidence level increases, there is a larger margin of error and a wider confidence interval. As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval. As the confidence level increases, there is a smaller margin of error and a wider confidence interval. As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.
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