Twenty-four fourth-grade children were randomly divided into two groups. Group A was taught spelling by a phonetic method. Group B was taught spelling by a memorization method. At the end of the fourth grade, all children were given a standard spelling exam. The scores are as follows. Group A 78 68 84 67 76 70 94 92 66 80 79 74 Group B 64 72 73 89 63 90 62 93 77 71 65 82
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.
Twenty-four fourth-grade children were randomly divided into two groups. Group A was taught spelling by a phonetic method. Group B was taught spelling by a memorization method. At the end of the fourth grade, all children were given a standard spelling exam. The scores are as follows.
| Group A | 78 | 68 | 84 | 67 | 76 | 70 | 94 | 92 | 66 | 80 | 79 | 74 |
| Group B | 64 | 72 | 73 | 89 | 63 | 90 | 62 | 93 | 77 | 71 | 65 | 82 |
Use a 1% level of significance to test the claim that there is no difference in the test score distributions based on instruction method.
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