In: Statistics and Probability
Listed below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Do the limited data listed here show evidence of stealing by the security service company's employees? Security Service Company: 1.3 1.6 1.5 1.6 1.6 1.3 1.7 1.6 1.5 1.6 Other Companies: 1.6 1.9 1.5 1.7 1.8 1.9 1.5 1.7 1.8 1.7 The coefficient of variation for the amount collected by the security service company is? The coefficient of variation for the amount collected by the other companies is
x1 | x1 -mean1 | (x1 -mean1)2 | x2 | x2-mean 2 | (x2-mean 2)2 | |
1.3 | -0.23 | 0.0529 | 1.6 | -0.11 | 0.0121 | |
1.6 | 0.07 | 0.0049 | 1.9 | 0.19 | 0.0361 | |
1.5 | -0.03 | 0.0009 | 1.5 | -0.21 | 0.0441 | |
1.6 | 0.07 | 0.0049 | 1.7 | -0.01 | 0.0001 | |
1.6 | 0.07 | 0.0049 | 1.8 | 0.09 | 0.0081 | |
1.3 | -0.23 | 0.0529 | 1.9 | 0.19 | 0.0361 | |
1.7 | 0.17 | 0.0289 | 1.5 | -0.21 | 0.0441 | |
1.6 | 0.07 | 0.0049 | 1.7 | -0.01 | 0.0001 | |
1.5 | -0.03 | 0.0009 | 1.8 | 0.09 | 0.0081 | |
1.6 | 0.07 | 0.0049 | 1.7 | -0.01 | 0.0001 | |
Sum= | 15.3 | 0.161 | 17.1 | 0.189 | ||
mean= | 1.53 | 0.0161 | 1.71 | 0.0189 | ||
The coefficient of variation for the | sd1= | sqrt(0.0161) | ||||
amount collected by the security | 0.126885775 | |||||
service company = | sd1/mean 1*100 | sd2= | sqrt(0.0189) | |||
0.137477271 | ||||||
cv1 = | 8.2931879 | The coefficient of variation for the | ||||
amount collected by the other | ||||||
company = | sd2/mean 2*100 | |||||
cv2= | 8.039606482 | |||||