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 Some possibly useful summary statistics: (∑(Hours)=188 ∑Hours^2=3832 ∑(Exam%)=793 ∑(Exam%)^2=65,143 ∑(Hours)(Exam%)XY=15,540 Is there a relationship between time spent studying and exam grades? (To answer this question, you must, of course, perform some appropriate calculations.) What is the correlation between study time and exam grades? If there is a relationship, describe it in your own words.
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
Some possibly useful summary statistics:
(∑(Hours)=188 ∑Hours^2=3832 ∑(Exam%)=793 ∑(Exam%)^2=65,143 ∑(Hours)(Exam%)XY=15,540
Is there a relationship between time spent studying and exam grades? (To answer this question, you must, of course, perform some appropriate calculations.) What is the
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