Task 2: Read the case study titled Losses to Robbery Complete Solution

Question: #8066

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?
Title: Linear Correlation
In this exercise, you will solve three questions, where you will be asked to calculate a linear correlation coefficient and determine whether there is a linear correlation between the two given variables.
Solve the following problems:
•   Listed below are baseball team statistics, consisting of the proportions of wins and the result of this difference: Difference (number of runs scored) - (number of runs allowed). The statistics are from a recent year, and the teams are NY—Yankees, Toronto, Boston, Cleveland, Texas, Houston, San Francisco, and Kansas City.
Difference   163   55   –5   88   51   16   –214
Wins   0.599   0.537   0.531   0.481   0.494   0.506   0.383

o   Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table VI, Appendix A, p. A-14, of your textbook Elementary Statistics. Use α = 0.05.
o   Is there sufficient evidence to conclude that there is a linear correlation between the proportion of wins and the above difference?
•   A classic application of correlation involves the association between temperature and the number of times a cricket chirps in a minute. Listed below are the numbers of chirps in 1 minute and the corresponding temperatures in °F:
Chirps in 1 Min   882   1188   1104   864   1200   1032   960   900
Temperature(°F)   69.7   93.3   84.3   76.3   88.6   82.6   71.6   79.6

o   Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table VI, Appendix A, p. A-14, of your textbook Elementary Statistics. Use α = 0.05.
o   Is there a linear correlation between the number of chirps in 1 minute and the temperature?
•   Given below is a control chart for the temperature of a freezer unit in a restaurant. The owner of the restaurant is deciding whether or not to buy a new unit. The two charts display the temperature for the past two weeks. Write a paragraph analyzing the control charts and argue whether the owner should buy a new unit or not. (5-6 sentences)

Submission Requirements:
• Submit your work in a single Microsoft Word or Excel document.

Solution: #8069

Task 2: Read the case study titled Losses to Robbery Complete Solution

The treatment mean square (MSTR) measures between groups variation. MSTR 249674.708 The error mean squ...