Scenario 3 A psychology instructor at a large university teaches statistics. There are 22 students in the class, and he has broken them into two groups. Each group has a different graduate assistant who is responsible for running separate breakout lecture and lab sections of the course. One graduate assistant (GA) has lots of experience teaching, while the other has more limited experience. The instructor wants to check for comparable learning across the two GAs, hoping students receive similar experiences (i.e., to find no difference). The data below are the scores (out of 100) of the students on the first midterm. Use it to test whether there is a difference between the groups. Group 1 (less experienced GA) Group 2 (more experienced GA) 60 70 65 85 69 72 58 83 57 81 59 69 52 65 72 75 70 79 65 71 75 80 1. In this specific scenario, what is the independent variable? Is it between or within subjects? How many levels does it have, and what are they? ANSWER 2. In this specific scenario, what is the dependent variable? What is its scale of measurement? ANSWER 3. Paste all relevant statistical output in the space provided below: ANSWER

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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Scenario 3

A psychology instructor at a large university teaches statistics. There are 22 students in the class, and he has broken them into two groups. Each group has a different graduate assistant who is responsible for running separate breakout lecture and lab sections of the course. One graduate assistant (GA) has lots of experience teaching, while the other has more limited experience. The instructor wants to check for comparable learning across the two GAs, hoping students receive similar experiences (i.e., to find no difference). The data below are the scores (out of 100) of the students on the first midterm. Use it to test whether there is a difference between the groups.

Group 1 (less experienced GA)	Group 2 (more experienced GA)
60	70
65	85
69	72
58	83
57	81
59	69
52	65
72	75
70	79
65	71
75	80

1. In this specific scenario, what is the independent variable? Is it between or within subjects? How many levels does it have, and what are they?

ANSWER

2. In this specific scenario, what is the dependent variable? What is its scale of measurement?

ANSWER

3. Paste all relevant statistical output in the space provided below:

ANSWER

4. Please explain how to make an appropriate graph in SPSS step by step and paste it in the space provided below:

ANSWER

5. This includes a full write-up to include a complete statistical notation as shown in the weekly presentations. The write-up also needs interpretation. If significant, state how. If it is not significant, what does that mean in layman’s terms?

ANSWER

6. Using information from this scenario, determine the degrees of freedom and whether this is a one- or two-tailed test. Use the Appendix in your e-book to find the critical value. Do not round – provide the exact critical value below. Label it “critical value”. Also provide the “obtained value” from your SPSS (and label it as such).

Compare the critical and obtained values – does the critical value exceed the obtained value? What does this mean in regards to the null hypothesis (would you reject or fail to reject the null hypothesis)?

ANSWER

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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How many levels does the independent variable have

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1. Using information from this scenario, determine the degrees of freedom and whether this is a one- or two-tailed test. Use the Appendix in your e-book to find the critical value. Do not round – provide the exact critical value below. Label it “critical value”. Also provide the “obtained value” from your SPSS (and label it as such).

ANSWER

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