In a random sample of 24 people, the mean commute time to work was 31.9 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean u. What is the margin of error of u? Interpret the results.

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In a random sample of 24 people, the mean commute time to work was 31.9 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90%
confidence interval for the population mean u. What is the margin of error of u? Interpret the results.
Transcribed Image Text:In a random sample of 24 people, the mean commute time to work was 31.9 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean u. What is the margin of error of u? Interpret the results.
The confidence interval for the population mean u is OD
(Round to one decimal place as needed.)
The margin of error of u is O
(Round to one decimal place as needed.)
Interpret the results.
O A. If a large sample of people are taken approximately 90% of them will have commute times between the bounds of the confidence interval.
B. With 90% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
C. It can be said that 90% of people have a commute time between the bounds of the confidence interval.
D. With 90% confidence, it can be said that the commute time is between the bounds of the confidence interval.
Transcribed Image Text:The confidence interval for the population mean u is OD (Round to one decimal place as needed.) The margin of error of u is O (Round to one decimal place as needed.) Interpret the results. O A. If a large sample of people are taken approximately 90% of them will have commute times between the bounds of the confidence interval. B. With 90% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. C. It can be said that 90% of people have a commute time between the bounds of the confidence interval. D. With 90% confidence, it can be said that the commute time is between the bounds of the confidence interval.
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