An experimenter varied the type of background music during an exam to determine whether this intervention would affect exam scores. Is there a difference in the means of the exams with alpha equal to .05?Exam Version IExam Version IIExam Version III807879858087667983899187 Fill in the chart below:Source of VariationSSdfMSFBetween groups Between Subjects Residual Error Total What is the critical value? What is your decision? (choose the appropriate letter from the options below) Fail to reject the null because your results are not significant :(Reject the null because our results are not significant :(Fail to reject the null because your results are statistically significant!Reject the null because your results are statistically significant!What is the effect size?

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Description: An experimenter varied the type of background music during an exam to determine whether this intervention would affect exam scores. Is there a difference in the means of the exams with alpha equal to .05?Exam Version IExam Version IIExam Version III8

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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An experimenter varied the type of background music during an exam to determine whether this intervention would affect exam scores. Is there a difference in the means of the exams with alpha equal to .05?

Exam Version I	Exam Version II	Exam Version III
80	78	79
85	80	87
66	79	83
89	91	87

Fill in the chart below:

Source of Variation	SS	df	MS	F
Between groups
Between Subjects
Residual Error
Total

What is the critical value?

What is your decision? (choose the appropriate letter from the options below)

Fail to reject the null because your results are not significant :(
Reject the null because our results are not significant :(
Fail to reject the null because your results are statistically significant!
Reject the null because your results are statistically significant!

What is the effect size?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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