A psychologist was interested in the effects of time of day on critical thinking. Participants were randomly assigned to one of three groups (Morning, Afternoon, or Night) and given a measure to test for the number of answers correct on a critical thinking ability test. The following data were obtained from the study. MorningAfternoonNight438314536416 What is the appropriate conclusion from this study (α = .05)?

Given Information: Participants were randomly assigned to one of three groups (Morning, Afternoon, or Night) and given a measure to test for the number of answers correct on a critical thinking ability test. Significance level α=0.05 State the hypothesis as follows: Null Hypothesis: H0:μ1=μ2=μ3 i.e., Mean value of the dependent variable is same for all groups. Alternative Hypothesis: Mean value is not the same for all groups. Hypothesis testing can be done using Excel and the steps to follow are given below: Enter the data values in the Excel sheet Go to DATA -> Data Analysis Select ANOVA- single factor Enter the Input range In grouped by, choose Columns. Check on labels. Select the output range and alpha value as 0.05 Click ok. Output obtained is given below:From the output, value of F-statistic is 10.28571 and F-critical value is 4.2565. Since, the computed value of the test statistic is greater than the critical value i.e., 10.28571 > 4.2565, we reject the null hypothesis. P-value is 0.004733, since p-value is less than the significance level α=0.05, reject H0 Therefore, our sample data provides strong evidence to conclude that the three population means are not equal. That is, at least one of the means is different.

Answered: A psychologist was interested in the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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A psychologist was interested in the effects of time of day on critical thinking. Participants were randomly assigned to one of three groups (Morning, Afternoon, or Night) and given a measure to test for the number of answers correct on a critical thinking ability test. The following data were obtained from the study.

Morning	Afternoon	Night
4	3	8
3	1	4
5	3	6
4	1	6

What is the appropriate conclusion from this study (α = .05)?

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