In a random sample of 21 people, the mean commute time to work was 33.2 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean . What is the margin of error of ? Interpret the results. In a random sample of 21 people, the mean commute time to work was 33.2 minutes with a standard deviation of 7.1 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.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:**- **A.** With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval.- **B.** With 80% 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 80% of people have a commute time between the bounds of the confidence interval.- **D.** If a large sample of people are taken, approximately 80% of them will have commute times between the bounds of the confidence interval.

The sample size, i.e., the sampled number of people, n=21.The sample mean commute time (in minutes),…

Answered: In a random sample of 21 people, the…

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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In a random sample of 21 people, the mean commute time to work was 33.2 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean . What is the margin of error of ? Interpret the results.

In a random sample of 21 people, the mean commute time to work was 33.2 minutes with a standard deviation of 7.1 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.

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:**

- **A.** With 80% confidence, it can be said that the commute time is between the bounds of the confidence interval.
- **B.** With 80% 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 80% of people have a commute time between the bounds of the confidence interval.
- **D.** If a large sample of people are taken, approximately 80% of them will have commute times between the bounds of the confidence interval.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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