A local university administers a comprehensive examination to the candidates for B.S. degrees in Business Administration. Five examinations are selected at random and scored. The scores are shown below. Scores 77 85 88 58 72 (a) Compute the mean and the standard deviation of the sample. (Round the standard deviation to five decimal places.) meanstandard deviation (b) Compute the margin of error at 95% confidence. Assume the population is normally distributed. (Round your answer to four decimal places.) (c) Develop a 95% confidence interval estimate for the mean of the population. (Round your answers to two decimal places.) to
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.
| Scores |
|---|
| 77 |
| 85 |
| 88 |
| 58 |
| 72 |
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