For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 27 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.9 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours ? and ? hours on Statistics each week. b) 95% of the students spend between hours ? and ? hours on Statistics each week. c) 99.7% of the students spend between hours ? and ? hours on Statistics each week.
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.
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 27 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.9 hours.
Use the
a) 68% of the students spend between hours ? and ? hours on Statistics each week.
b) 95% of the students spend between hours ? and ? hours on Statistics each week.
c) 99.7% of the students spend between hours ? and ? hours on Statistics each week.
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