An analysis is concerned about the level of knowledge possessed by students regarding Caribbean History. Students completed a prerequisite history course before entering the University. The table below shows the students’ results on the prerequisite exam categorized by their major. Education Economics Statistics Chemistry 57 72 42 80 85 49 52 37 62 63 31 87 58 68 80 64 67 39 22 28 54 79 71 29 26 40 88 62 36 22 76 45 Using the 10% significance level, test the hypothesis that the mean grade on the prerequisite history exam is the same across majors.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
An analysis is concerned about the level of knowledge possessed by students regarding Caribbean History. Students completed a prerequisite history course before entering the University. The table below shows the students’ results on the prerequisite exam categorized by their major.
|
Education |
Economics |
Statistics |
Chemistry |
|
57 |
72 |
42 |
80 |
|
85 |
49 |
52 |
37 |
|
62 |
63 |
31 |
87 |
|
58 |
68 |
80 |
64 |
|
67 |
39 |
22 |
28 |
|
54 |
79 |
71 |
29 |
|
26 |
40 |
88 |
62 |
|
36 |
22 |
76 |
45 |
Using the 10% significance level, test the hypothesis that the mean grade on the prerequisite history exam is the same across majors.
Confirm your answer using SPSS. Provide the relevant output tables
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