Task 2: Read the case study titled “Losses to Robbery” and answer the correspond
ID: 3125933 • Letter: T
Question
Task 2: Read the case study titled “Losses to Robbery” and answer the corresponding questions:
Losses to Robbery: The Federal Bureau of Investigation conducts surveys to obtain information on the value of losses from various types of robberies. The results of the surveys are published in Population-at-Risk Rates and Selected Crime Indicators. Independent simple random samples of reports for three types of robberies—highway, gas station, and convenience store—gave the following data, in dollars, on the value of losses.
Highway Gas Station Convenience Store
952 1298 844
996 1195 921
839 1174 880
1088 1113 706
1024 953 602
1280 614
What does treatment mean square (MSTR) measure?
What does error mean square (MSE) measure?
Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
Explanation / Answer
Ho:there is no significant difference between the mean losses among the three types of robberies.
H1:there is a significant difference between the mean losses among the three types of robberies.
Total sum of squares=16690010-15979783.76=710226.2353.
Treatment sum of squares=16479197.13-15979783.76=499413.372.
Error sum of squares=710226.2353-499413.372=210812.8633.
Table value of F(2,14)=3.74 at 5% level of significance.
We reject Ho.
Therefore, there is a significant difference between the mean losses among the three types of robberies.
SV degrees of freedom sum of squares mean sum of squares F test Treatment 2 499413.372 249706.686 16.5829>3.74 Error 14 210812.8633 15058.0617 Total 16 710226.2353Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.