Answered: A psychologist is conducting a two…

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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A psychologist is conducting a two sample (independent samples) t-test to compare two treatment conditions. She intended to see whether there is a significant difference between two treatments. Following data were obtained: Treatment one group: # of participants = 20, sample mean = 75, sample standard dev (s) = 3.15. Observations are normally distributed Treatment two group: # of participants = 15, sample mean = 72, sample standard dev (s) = 3. 54. Observations are normally distributed Use 1% significance level. Assume µ1 and µ2 are the population means for groups of treatment one and two respectively. a) What is null and alternative hypotheses? b) What is the value of the test statistic? c) What is the p-value? d) What is your conclusion?

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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