An educational psychologist designs a study to examine the effect of background

Question

An educational psychologist designs a study to examine the effect of background noise on studying effectiveness. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. The resulting ANOVA table is below. Use this to answer questions 7 to 10 question data is analyzed using an analysis of variance. A partially completed Source DF 230.083 MS AAA3.595 4.185 F-statistic Treatment2 Error value 0.0454 Total6687.875 estion 7 t yet swered nts out of What decision and conclusion can we make from this output using a 1% significance level? Select one or more: We should reject the null hypothesis. There is evidence of a difference in average quiz score between the 3 groups. we cannot reject the null hypothesis. There is not sufficient evidence of a difference in average quiz score between the 3 groups. Flag stion stion The Moan Square Treatment (MST) is missing from this output (replaced with AAA). Find this value. Round your answer to 3 decimal places. vered s out of Answer lag tion

Explanation / Answer

7.

p-value = 0.0454

As, the p-value is greater than the significance level (1% = 0.01) , we fail to reject the null hypothesis and conclude that there is not sufficient evidence of a difference in average quiz score between the 3 groups.

So, the correct options are -

We cannot reject the null hypothesis.

There is not sufficient evidence of a difference in average quiz score between the 3 groups.

8.

Mean square treatment (MSTr) = SS for treatment / DF for treatment = 30.083 / 2 = 15.042

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