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, from a sample of 20 campuses. 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} Your professor is interested in how accurate you are in the calculation of the mean. To help her understand how close you are, and describe possible errors, you construct a confidence interval for the campus crime sample data. a. Construct a 95% confidence interval for the mean of all college crimes. Round to one decimal place. Write this in inequality form with units. b. Interpret your confidence interval. c. What should be your response if you were told that the actual mean number of college campus crimes as 125 per year? What two things might have occurred?
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, from a sample of 20 campuses. 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}
Your professor is interested in how accurate you are in the calculation of the mean. To help her understand how close you are, and describe possible errors, you construct a confidence interval for the campus crime sample data.
a. Construct a 95% confidence interval for the mean of all college crimes. Round to one decimal place. Write this in inequality form with units.
b. Interpret your confidence interval.
c. What should be your response if you were told that the actual mean number of college campus crimes as 125 per year? What two things might have occurred?
I don't understand part C, so if you could clarify that, I would appreciate it. Thank you.
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