Professor Tom knows that the mean score on the midterm exam from all the years he has been teaching is 85%. Kennedy was in his most recent class, and his class’s mean score on the final exam was 82%. Kennedy decided to run a hypothesis test to determine if the mean score of his class was different than the mean score of the population. α = .10. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why? What are the null and alternative hypotheses in this case? Let’s pretend that p was calculated, and p = 0.14, should Kennedy reject or fail to reject the null hypothesis? Why? What should Colby’s statement of conclusion be? (This circles back to what is being tested). The next two ask you do to a hypothesis test. Remember, hypothesis tests follow a series of steps. They are not just a computer printout. Make sure if you use a computer printout, you identify which parts of the printout apply to the problem. All of the parts of the printout will NOT apply.
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.
Professor Tom knows that the
- What is the mean score of the population?
- What is the mean score of the sample?
- Is this test one-tailed or two-tailed? Why?
- What are the null and alternative hypotheses in this case?
- Let’s pretend that p was calculated, and p = 0.14, should Kennedy reject or fail to reject the null hypothesis? Why?
- What should Colby’s statement of conclusion be? (This circles back to what is being tested).
The next two ask you do to a hypothesis test. Remember, hypothesis tests follow a series of steps. They are not just a computer printout. Make sure if you use a computer printout, you identify which parts of the printout apply to the problem. All of the parts of the printout will NOT apply.
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