Instruction: Read and analyze the following situations and supply the values of the following variable in the second column. Determine whether the following statements have a known or unknown population variance and provide a brief explanation to support your answer. Also, identify the formula to be used for the standard erroor the mean by writing oz, when the population variance is known and Sz when the population variance is unknown. Situation Answer Standard Given Error Formula 1. Consider a population consisting of 15, 2, 12, 4, 5, 8,6, 9 and 17. Samples of size 5 are drawn from this population. N = n = 2. Given the population mean of 98, and a mple standard deviation 2 in a sample size of 45. n = S = 3. A population composed of 10 items whose measurements are 12,11, 15, 8, 20, 23, 18, 13, 22, and 10. Samples of 6 items are drawn at random without replacement. N = n =
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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