A simple random sample with n = 58 provided a sample mean of 23.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.) (a) Develop a 90% confidence interval for the population mean. 23.6 to 23.4 (b) Develop a 95% confidence interval for the population mean. to (c) Develop a 99% confidence interval for the population mean. to (d) What happens to the margin of error and the confidence interval as the confidence level is increased? O As the confidence level increases, there is a smaller margin of error and a wider confidence interval. O 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 larger margin of error and a more narrow confidence interval. As the confidence level increases, there is a larger margin of error and a wider confidence interval.
A simple random sample with n = 58 provided a sample mean of 23.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.) (a) Develop a 90% confidence interval for the population mean. 23.6 to 23.4 (b) Develop a 95% confidence interval for the population mean. to (c) Develop a 99% confidence interval for the population mean. to (d) What happens to the margin of error and the confidence interval as the confidence level is increased? O As the confidence level increases, there is a smaller margin of error and a wider confidence interval. O 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 larger margin of error and a more narrow confidence interval. As the confidence level increases, there is a larger margin of error and a wider confidence interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Confidence Interval and Margin of Error**
You may need to use the appropriate appendix table or technology to answer this question.
A simple random sample with \( n = 58 \) provided a sample mean of \( 23.5 \) and a sample standard deviation of \( 4.4 \). (Round your answers to one decimal place.)
**(a)** Develop a 90% confidence interval for the population mean.
\[ 23.6 \text{ to } 23.4 \]
**(b)** Develop a 95% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(c)** Develop a 99% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(d)** What happens to the margin of error and the confidence interval as the confidence level is increased?
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a wider confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a wider confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2214e4ab-0c78-4aff-ad5b-f1d0321d389f%2F2df10873-3ae4-4ef1-89c1-6e60264f4263%2Fa0w252_processed.png&w=3840&q=75)
Transcribed Image Text:**Confidence Interval and Margin of Error**
You may need to use the appropriate appendix table or technology to answer this question.
A simple random sample with \( n = 58 \) provided a sample mean of \( 23.5 \) and a sample standard deviation of \( 4.4 \). (Round your answers to one decimal place.)
**(a)** Develop a 90% confidence interval for the population mean.
\[ 23.6 \text{ to } 23.4 \]
**(b)** Develop a 95% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(c)** Develop a 99% confidence interval for the population mean.
\[ \_\_\_ \text{ to } \_\_\_ \]
**(d)** What happens to the margin of error and the confidence interval as the confidence level is increased?
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a wider confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a more narrow confidence interval.
- \( \bigcirc \) As the confidence level increases, there is a larger margin of error and a wider confidence interval.
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