A survey aims to compare the average reaction times (in seconds) of men (group A) and women (group B) to a certain stimulus. For this, an experiment was carried out to verify if there are differences between the sexes. Assume that the mean times follow a normal distribution and that the variance of the men's mean reaction times (σ2A) is different from the variance of women's mean reaction times (σ2B). Perform an adequate hypothesis test, considering a significance level of 5%Indivíduo12345678910Homens52667665526568 Mulheres60506050705759686165a. The test hypotheses in this study are: H0: μA=μB and Ha:µA< µB?b. The test statistic value calculated based on the data is:c. The critical (absolute) value of the test for the desired significance level is:

Answered: A survey aims to compare the average…

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 survey aims to compare the average reaction times (in seconds) of men (group A) and women (group B) to a certain stimulus. For this, an experiment was carried out to verify if there are differences between the sexes. Assume that the mean times follow a normal distribution and that the variance of the men's mean reaction times (σ²A) is different from the variance of women's mean reaction times (σ²B). Perform an adequate hypothesis test, considering a significance level of 5%

Indivíduo	1	2	3	4	5	6	7	8	9	10
Homens	52	66	76	65	52	65	68
Mulheres	60	50	60	50	70	57	59	68	61	65

a. The test hypotheses in this study are: H0: μA=μB and Ha:µA< µB?

b. The test statistic value calculated based on the data is:

c. The critical (absolute) value of the test for the desired significance level is:

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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