In a random sample of six people, the mean driving distance to work was 19.6 miles and the standard deviation was 4.7 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results. 1. Identify the margin of error. 2. Construct a 90% confidence interval for the population mean. 3. 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. nothing% of all random samples of six people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.

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 six people, the mean driving distance to work was 19.6 miles and the standard deviation was 4.7 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ.

Interpret the results.

1. Identify the margin of error.

2. Construct a 90% confidence interval for the population mean.

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.)

nothing%

of all random samples of

six

people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.

It can be said that

nothing%

of the population has a driving distance to work (in miles) that is between the interval's endpoints.

With

nothing%

confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.

With

nothing%

confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.

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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