The career counselor at Mountain Peak College has a tough job. She is expected to provide information to help students decide which major they should take. The counselor knows that she can use quantitative analysis to help her with her work. She did a survey and came up with six most popular degree programs at her college. One of the biggest factors she considered was the "earning" power of the degree in four different economic conditions. The table below presents the information she collected on the degree programs. The amounts shown are 3-year gross salaries of the alumni she surveyed. During recession: During average economy: Game design engineer = $145k Game design engineer = $175k Nursing = $150k Nursing = $180k Hospitality = $115k Hospitality = $165k Business = $130k Business = $180k Biotechnology = $115k Biotechnology = $145k Computer Science = $125k Computer Science = $150k During good economy: During a bullish economy: Game design engineer = $220k Game design engineer = $260k Nursing = $205k Nursing = $215k Hospitality = $220k Hospitality = $320k Business = $210k Business = $280k Biotechnology = $235k Biotechnology = $305k Computer Science = $190k Computer Science = $250k The college offered to pay for a projection of the probability of each economic condition over the next 3 years. The research company estimated that: P(recession) = 0.20; P(average economy) = 0.40; P(good economy) = 0.30; P(bullish economy) = 0.10

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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.