our professor hands back the previous exam and realizes there are several exams left over, suggesting these students have skipped his class. He believes they are absent due to perceived poor performance on the test. If the theory is correct, the leftover papers will have lower scores than those papers handed back. He records the marks of the leftover papers with the marks of the returned papers. The professor wants to know if the group of papers he returned received a higher mark than the leftover papers. What is the best test to use? a. This problem cannot be solved b. Difference between means – Matched Pairs (μD) c. Difference in variances – F-Test d. Difference between means – Independent Samples (μ1– μ2)
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.
Your professor hands back the previous exam and realizes there are several exams left over, suggesting these students have skipped his class. He believes they are absent due to perceived poor performance on the test. If the theory is correct, the leftover papers will have lower scores than those papers handed back. He records the marks of the leftover papers with the marks of the returned papers. The professor wants to know if the group of papers he returned received a higher mark than the leftover papers. What is the best test to use?
a. This problem cannot be solved
b. Difference between means – Matched Pairs (μD)
c. Difference in variances – F-Test
d. Difference between means – Independent Samples (μ1– μ2)
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