Answered: Consider the following data from a…

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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Consider the following data from a repeated-measures design. You want to use a repeated-measures t test to test the null hypothesis H_0: µ_D = 0 (the null hypothesis states that the mean difference for the general population is zero). The data consist of five observations, each with two measurements, A and B, taken before and after a treatment. Assume the population of the differences in these measurements are normally distributed.

Observation	A	B
1	1	3
2	3	4
3	5	7
4	4	4
5	8	9

For a repeated-measures t test, you need to calculate the t statistic, which requires you to calculate s and S_MD· What is the estimated standard error of the mean difference scores? (Note: For best results, retain at least six decimal places from your calculation of s.) (round your answer to this question to four decimals)

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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