Answered: Assume that the data from each…

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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Question

A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. The accompanying table shows the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. Assume that the data from each population is Normally distributed. Complete parts a through i below.

A. Are the data paired? Explain.

B. Compute the mean difference

C. Compute the standard deviation of the differences.

D. Compute the standard error of the mean difference.

E. Find the value of the t-statistic.

F. How many degrees of freedom does the t-statistic have?

G. Is the alternative one- or two-sided? Explain.

H. What is the P-value associated with this t-statistic? Assume that the other assumptions and conditions for inference are met.

Day of the Week
M
TWEFS
Th
Su
Before
5
11
80
11
8
After
2
3
3
4
5
10
9

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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