psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. The data: Achievement_Group Cheat 1 20 1 40 1 49 1 50 1 51 1 51 1 52 1 53 1 58 1 42 1 48 1 48 1 52 1 55 1 55 1 56 1 59 1 67 1 80 1 79 2 19 2 25 2 20 2 29 2 24 2 32 2 25 2 27 2 30 2 55 2 40 2 25 2 27 2 35 2 42 2 30 2 30 2 34 2 40 2 27 3 60 3 65 3 69 3 78 3 79 3 80 3 80 3 90 3 95 3 50 3 55 3 55 3 60 3 69 3 70 3 70 3 88 3 90 3 90 3 91 Before opening the data, what would you hypothesize about this research question? The mean exam score of all 3 achievement groups is not equal. Low achieving groups has lower ratings than the other groups. Open the data set. Before running any statistical analyses, glance through the data. Do you think that your hypothesis will be supported? Yes Conduct descriptive analyses and report them here

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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Question

A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat.

The data:

Achievement_Group	Cheat
1	20
1	40
1	49
1	50
1	51
1	51
1	52
1	53
1	58
1	42
1	48
1	48
1	52
1	55
1	55
1	56
1	59
1	67
1	80
1	79
2	19
2	25
2	20
2	29
2	24
2	32
2	25
2	27
2	30
2	55
2	40
2	25
2	27
2	35
2	42
2	30
2	30
2	34
2	40
2	27
3	60
3	65
3	69
3	78
3	79
3	80
3	80
3	90
3	95
3	50
3	55
3	55
3	60
3	69
3	70
3	70
3	88
3	90
3	90
3	91

Before opening the data, what would you hypothesize about this research question? The mean exam score of all 3 achievement groups is not equal. Low achieving groups has lower ratings than the other groups.

Open the data set. Before running any statistical analyses, glance through the data. Do you think that your hypothesis will be supported? Yes

Conduct descriptive analyses and report them here.

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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