What is the 95% confidence interval (i.e., prediction interval) for exam performance of Fred who studied 25 hours?
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.
A random sample of second year business students at a small Canadian university were polled by a researcher attempting to establish a relationship between hours of study in the week immediately preceding a major midterm and the marks received on the exam. The data follow:
Student 1 2 3 4 5 6 7 8 9 10
Hours 25 12 18 26 19 20 23 15 22 8
Exam(%) 93 57 55 90 82 95 95 80 85 61
(∑(Hours)=188 ∑Hours^2=3832 ∑(Exam%)=793 ∑(Exam%)^2=65,143 ∑(Hours)(Exam%)XY=15,540
What is the 95% confidence interval (i.e., prediction interval) for exam performance of Fred who studied 25 hours?
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