A teacher wishes to know whether the males in his/her class have more favorable attitudes toward gun control than do the females. All students in the class are given a questionnaire about gun control and the mean responses of the males and the females are compared. Is this an example of descriptive or inferential statistics?
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.
1. A teacher wishes to know whether the males in his/her class have more favorable attitudes toward gun control than do the females. All students in the class are given a questionnaire about gun control and the mean responses of the males and the females are compared. Is this an example of descriptive or
2. A medical researcher is testing the effectiveness of a new drug for treating Parkinson's disease. Ten subjects with the disease are given the new drug and 10 are given a placebo. Improvement in symptomology is measured. What would be the roles of descriptive and inferential statistics in the analysis of these data?
A substitute teacher wants to know how students in the class did on their last test. He asks only the 10 students sitting in the front row to report how they did on their last test and he concludes from them that the class did extremely well. What is the sample? What is the population? Can you identify any problems with choosing the sample in the way that the
teacher did?
A coach is interested in how many cartwheels the average college freshmen at his university can do. Eight volunteers from the freshman class step forward. After observing their performance, the coach concludes that college freshmen can do an average of 16 cartwheels in a row without stopping. What is the sample? What is the population? Can you identify anyproblems with choosing the sample in the way that the coach did?
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