Directions: Identify the appropriate test statist poblem. Write z-test or t-test on a separate sheet of paper. 1. A sample of n=25 is selected from a normal population, 56 ard s= 12. 2. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Geade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm. 3. Knowing from a previous study that the average of athletes is 81, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the of student athletes, the adviser randomly selected 15 soccer players aterage aid found 85 as the average with standard deviation of 1.25.

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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.