An investigation is carried out to determine whether face to face or virtual learning is more effective. If 12 students took an IT course virtual and 14 took it face to face: The data of the scores made for both types of learning are shown in the table. Virtual 66 75 85 64 88 77 74 91 72 69 77 83 Face to Face 80 83 64 81 75 80 86 81 51 64 59 85 74 77
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 investigation is carried out to determine whether face to face or virtual learning is more effective. If 12 students took an IT course virtual and 14 took it face to face: The data of the scores made for both types of learning are shown in the table.
|
Virtual |
66 |
75 |
85 |
64 |
88 |
77 |
74 |
91 |
72 |
|
|
69 |
77 |
83 |
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|
|
|
|
|
|
|
|
|
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|
|
|
|
Face to Face |
80 |
83 |
64 |
81 |
75 |
80 |
86 |
81 |
51 |
|
|
64 |
59 |
85 |
74 |
77 |
|
|
|
|
Do the following:
- explain the type of data you have here and the hypothesis test you would use to determine the difference between the two types
- construct a
pdf for both sets of data and explain the shape of the graph
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