Direction: On your answer sheets, match Column X to Column Y and Match Column Y to Column Z by writing the same and exact number or letter that corresponds to your answers for the following columns: Column X displays the Unknown Values, Column Y enumerates the Symbols of the Unknown Values, and Column Z reveals the exact answers. Consider the problem below for your reference. Problem: Random samples of size n = 2 are drawn from a finite population consisting of the number 5, 6, 7, 8, and 9. Compute for the Mean, Variance and Standard Deviation of the Population, and the Mean, Variance and Standard Deviation of the Sample Means. Show your complete solution and verify theorem #2. Column X Column Y Column Z A. Population Mean _1.o a. 7 B. Mean of the Sample Means 2. o?2 b. 2 C. Variance of the Population _3. Hã c. 0.75 D. Variance of the Sample Means 4. o d. 1.414 - E. Standard Deviation of the Population 5. µ e. 0.87 F. Standard Deviation of the Sample Means _6. o² f. 7
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.
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