Answered: In a random sample of seven people,…

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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Related questions

Question

In a random sample of

seven

people, the mean driving distance to work was

22.1

miles and the standard deviation was

5.1

miles. Assuming the population is normally distributed and using the t-distribution, a

95%

confidence interval for the population mean

(17.4, 26.8)

(and the margin of error is

4.7).

Through research, it has been found that the population standard deviation of driving distances to work is

5.6.

Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a

95%

confidence interval for the population mean

μ.

Interpret and compare the results.

Compare these results to the results that used the t-distribution.

The new confidence interval is

▼

the confidence interval that used the t-distribution and has

▼

center.

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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