Freshmen GPAS First-semester: GPAS for a random selection of freshmen at a large university are shown below. Estimate mean GPA of the freshman class with 90% confidence. Assume o = 0.62. Use a graphing calculator and round the answers to two decimal places. Assume the population is normally distributed. 1.9 - 3.2 - 2 - 2.9 - 2.7 - 3.3 - 3.5 - 3.8 - 3.9 - 2.7 - 2 - 2.4 - 2 - 2.4 - 2 - 2.9 - 2.5 - 2.7 - 2.8 - 3.2 - 3 - 3.8 - 2.8 - 1.9 - 4 - 2.2
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.
Freshmen GPAS First-semester:
GPAS for a random selection of freshmen at a large university are shown below. Estimate mean GPA of the freshman class with 90% confidence. Assume o = 0.62. Use a graphing calculator and round the answers to two decimal places. Assume the population is
1.9 - 3.2 - 2 - 2.9 - 2.7 - 3.3 - 3.5 - 3.8 - 3.9 - 2.7 - 2 - 2.4 - 2 - 2.4 - 2 - 2.9 - 2.5 - 2.7 - 2.8 - 3.2 - 3 - 3.8 - 2.8 - 1.9 - 4 - 2.2
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