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. Campus crime data is an approximate normal solution. a) Construct a 95% confidence interval for the mean of all college crimes. Round to one decimal places. 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?
- Creating and Interpreting a Confidence Interval; Minimum Sample Size
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. Campus crime data is an approximate normal solution.
a) Construct a 95% confidence interval for the mean of all college crimes. Round to one decimal places. 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?
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