Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: Fall 89 86 64 91 72 94 87 83 86 90 74 59 87 97 87 Spring 76 70 82 94 76 66 72 51 75 97 74 81 85 96 74 Can he say that there was a significant difference between his fall and spring students? (Use α = .10)
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.
Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data:
|
Fall |
89 |
86 |
64 |
91 |
72 |
94 |
87 |
83 |
86 |
90 |
74 |
59 |
87 |
97 |
87 |
|
Spring |
76 |
70 |
82 |
94 |
76 |
66 |
72 |
51 |
75 |
97 |
74 |
81 |
85 |
96 |
74 |
Can he say that there was a significant difference between his fall and spring students? (Use α = .10)
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