In a random sample of 17 people, the mean commute time to work was 30.4 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% 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 (Round to one decimal place as needed.) The margin of error of u is. (Round to one decimal place as needed.) Interpret the results. O A. With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval. O B. Ifa large sample of people are taken approximately 80% of them will have commute times between the bounds of the confidence interval. O C. It can be said that 80% of people have a commute time between the bounds of the confidence interval. O D. With 80% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

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In a random sample of 17 people, the mean commute time to work was 30.4 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct an 80% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results.

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

2. **The margin of error of μ is [ ].**  
   (Round to one decimal place as needed.)

**Interpret the results:**

- **A.** With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval.

- **B.** If a large sample of people are taken approximately 80% of them will have commute times between the bounds of the confidence interval.

- **C.** It can be said that 80% of people have a commute time between the bounds of the confidence interval.

- **D.** With 80% 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 17 people, the mean commute time to work was 30.4 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct an 80% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. 1. **The confidence interval for the population mean μ is ( [ ] , [ ] ).** (Round to one decimal place as needed.) 2. **The margin of error of μ is [ ].** (Round to one decimal place as needed.) **Interpret the results:** - **A.** With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval. - **B.** If a large sample of people are taken approximately 80% of them will have commute times between the bounds of the confidence interval. - **C.** It can be said that 80% of people have a commute time between the bounds of the confidence interval. - **D.** With 80% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
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