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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

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In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 drivers were given the exam before and after taking the course. The results are shown below. Assume the population of differences is normally distributed.

Driver	Score Before the Course	Score After the Course
1	84	87
2	90	88
3	94	91
4	78	77
5	86	93
6	80	83

Let d = Score After − Score Before.

(a)

Compute the test statistic. (Round your answer to three decimal places.)

(b)

Using ? = 0.05 and the p-value approach, test to see if taking the course actually increased scores on the driving exam.

Calculate the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

We do not reject H₀. There is no significant difference.We do not reject H₀. There is a significant difference. We reject H₀. There is no significant difference.We reject H₀. There is a significant difference.

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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