Answered: You wish to test the following claim…

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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Quick note for SPSS users: To get SPSS to run the analysis in the correct “direction” from the Analyze > Compare Means > Paired-Samples T Test... protocol, please enter the after variable first, and the before variable second. (SPSS analyzes using first variable minus second variable.)

You wish to test the following claim (Ha) at a significance level of α=0.10. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test.

Ho:μd=0
Ha:μd>0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

pre-test	post-test
52.4	57.3
36.5	69
46.3	55.5
36.3	56
24.4	54.7
51.6	89.8
42.8	42.1
34	77.1
51.3	124.7
40.8	21.9
56.2	98
29.8	61.2
37.1	59.9
43.2	39
41	98.3
36.3	68.8
35	92.3
46.5	93.5

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) α

greater than α

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

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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