lator to test the claim from 2019 that the population mean is 137 crimes per 1000 students on college campuses using a significance level of 5% and the Critical Value Method of hypothesis testing. Clearly write
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.
You are researching campus crime for one of your classes. While doing your research you find the data
below, representing the number of campus crimes for a year per 1000 students (which is an approximate
You decide to apply what you have learned in your
statistics class to better understand the data.
{64 138 141 84 86 141 135 174 201 203 125 234 143 148 152 158 174 84 173 193}
Calculate the mean, standard deviation, and variance for the data set. Include units.
After you have analyzed the initial study, you come across another one. You decide to test the claim of this new study using your campus crime data sample. Use the sample data set on-campus crimes and your calculator to test the claim from 2019 that the population mean is 137 crimes per 1000 students on college campuses using a significance level of 5% and the Critical Value Method of hypothesis testing. Clearly write the steps and work in hypothesis testing.
You now want to know if there is a higher risk on one of the campuses (in your original data). What additional information would be helpful to determine this? List at least two items.
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