In a random sample of 21 people, the mean commute time to work was 32.5 minutes and the standard deviation was 7.2 minutes Assume the population is nomally distributed and use a t-distribution to construct a 98% confidence interval for the population mean p. What is the margin of error of u? Interpret the results.

MATLAB: An Introduction with Applications
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In a random sample of 21 people, the mean commute time to work was 32.5 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results.

The confidence interval for the population mean μ is (___ , ___)  
(Round to one decimal place as needed.)

The margin of error of μ is ___  
(Round to one decimal place as needed.)

Interpret the results.

o A. It can be said that 98% of people have a commute time between the bounds of the confidence interval.

o B. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval.

o C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
Transcribed Image Text:In a random sample of 21 people, the mean commute time to work was 32.5 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is (___ , ___) (Round to one decimal place as needed.) The margin of error of μ is ___ (Round to one decimal place as needed.) Interpret the results. o A. It can be said that 98% of people have a commute time between the bounds of the confidence interval. o B. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. o C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
The image contains a question about interpreting confidence intervals related to commute times. The options provided are as follows:

A. It can be said that 98% of people have a commute time between the bounds of the confidence interval.

B. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval.

C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

D. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval.

There are no graphs or diagrams associated with the question. At the bottom right corner, there is a "Next" button. The task appears to be selecting the correct interpretation of a confidence interval at a 98% confidence level.
Transcribed Image Text:The image contains a question about interpreting confidence intervals related to commute times. The options provided are as follows: A. It can be said that 98% of people have a commute time between the bounds of the confidence interval. B. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. D. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval. There are no graphs or diagrams associated with the question. At the bottom right corner, there is a "Next" button. The task appears to be selecting the correct interpretation of a confidence interval at a 98% confidence level.
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