In your "Introduction to College Mathematics" class last semester, the instructor gave four tests. You received scores of 90, 86, 70, and 80. List all possible samples and compute the mean of each. Contruct a sampling distrubution Suppose the instructor offered you the option of randomly selecting two scores and basing your course grade on the mean of those two tests. Would you accept the instructor's grade offer? Explain
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.
In your "Introduction to College Mathematics" class last semester, the instructor gave four tests. You received scores of 90, 86, 70, and 80.
- List all possible samples and compute the
mean of each. - Contruct a sampling distrubution
- Suppose the instructor offered you the option of randomly selecting two scores and basing your course grade on the mean of those two tests. Would you accept the instructor's grade offer? Explain
Given Scores
90, 86, 70 , 80
Possible sample size will be 1,2,3,4
The data has been entered into excel and sample mean has been calculated for each sample
Sampling Distribution of mean is plotted below
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