Retention Test Scores A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th-century novel or by watching it in DVD form. Each student was assigned one novel to read and a different one to watch, and then they were given a 100-point written quiz on each novel. Assume the variables are normally distributed. The test results are shown below. Book DVD 90 75 90 85 80 70 80 72 90 80 75 80 84 80 90 85 80 72 At=α0.05, can it be concluded that the book scores are higher than the DVD scores?
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.
Retention Test Scores A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th-century novel or by watching it in DVD form. Each student was assigned one novel to read and a different one to watch, and then they were given a 100-point written quiz on each novel. Assume the variables are
Book | DVD | |
90 | 75 | |
90 | 85 | |
80 | 70 | |
80 | 72 | |
90 | 80 | |
75 | 80 | |
84 | 80 | |
90 | 85 | |
80 | 72 |
At=α0.05, can it be concluded that the book scores are higher than the DVD scores?
*Please show the critical values, they ask that for part of this question*
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