In a random sample of twelve people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.3 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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In a random sample of twelve people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.3 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean \( \mu \). Interpret the results.

---

**Identify the Margin of Error:**

[Input Box]

(Round to one decimal place as needed.)

---

**Construct a 95% Confidence Interval for the Population Mean:**

[Input Box] to [Input Box]

(Round to one decimal place as needed.)

---

**Interpret the Results. Select the correct choice below and fill in the answer box to complete your choice.**

(Type an integer or a decimal. Do not round.)

- **A.** It can be said that [ ]% of the population has a driving distance to work (in miles) that is between the interval's endpoints.
  
- **B.** With [ ]% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
  
- **C.** [ ]% of all random samples of twelve people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
  
- **D.** With [ ]% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Transcribed Image Text:In a random sample of twelve people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.3 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean \( \mu \). Interpret the results. --- **Identify the Margin of Error:** [Input Box] (Round to one decimal place as needed.) --- **Construct a 95% Confidence Interval for the Population Mean:** [Input Box] to [Input Box] (Round to one decimal place as needed.) --- **Interpret the Results. Select the correct choice below and fill in the answer box to complete your choice.** (Type an integer or a decimal. Do not round.) - **A.** It can be said that [ ]% of the population has a driving distance to work (in miles) that is between the interval's endpoints. - **B.** With [ ]% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. - **C.** [ ]% of all random samples of twelve people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. - **D.** With [ ]% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
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