Freshmen GPAs First-semester GPAs for a random selection of freshmen at a large university are shown below. Estimate the true mean GPA of the freshman class with 98% confidence. Assume σ=0.62. Use a graphing calculator and round the answers to two decimal places. Assume the population is normally distributed. 2.7 2.8 1.9 4 2.2 2.8 2.9 2.1 3.8 2.7 2.1 2.4 2 1.9 2.5 2.7 2.8 3.2 3 3.8 3.1 < μ <
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 the true mean GPA of the freshman class with 98% confidence. Assume
σ=0.62. Use a graphing calculator and round the answers to two decimal places. Assume the population is
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2.7 |
2.8 |
1.9 |
4 |
2.2 |
2.8 |
2.9 |
2.1 |
3.8 |
2.7 |
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2.1 |
2.4 |
2 |
1.9 |
2.5 |
2.7 |
2.8 |
3.2 |
3 |
3.8 |
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3.1 |
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< μ <
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