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Name: A teacher gives a third grade class of n = 16 a reading skills test at
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Description: A teacher gives a third grade class of n = 16 a reading skills test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average imp

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 teacher gives a third grade class of n = 16 a reading skills test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average improvement of M_D = 4.7 points with SS = 2160.

Are the test scores at the end of the year significantly higher than the test scores at the beginning of the year.

Perform a hypothesis test using repeated-measures t-test. Use a one-tailed test with α = .01.

T statistics= 1.57

critical t value=2.602

Your decision is

Group of answer choices

A.Fail to reject the null hypothesis because the t-statistic is greater than the critical t-value

B.Fail to reject the null hypothesis because the t-statistic is not greater than the critical t-value

C.Reject the null hypothesis because the t-statistic is not greater than the critical t-value

D.Reject the null hypothesis because the t-statistic is greater than the critical t-value

Expert Solution

Step 1

Given information-

Sample size, n = 16

Sample mean, M_D = 4.7 points

SS = 2160

Significance level, α = 0.01

We have to test the claim that the test scores at the end of the year significantly higher than the test scores at the beginning of the year.

We have given the value of test statistics, t-statistics = 1.57

Critical value, t-critical = 2.602

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