Question

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:security service company: 1.31.3 1.71.7 1.61.6 1.41.4 1.51.5 1.51.5 1.71.7 1.61.6 1.41.4 1.51.5 other companies:other companies: 1.91.9 1.81.8 1.61.6 1.71.7 1.61.6 1.81.8 1.71.7 1.61.6 1.71.7 1.61.6 find the coefficient of variation for each of the two? samples, then compare the variation. the coefficient of variation for the amount collected by the security service company is nothing?%.

Answer 1

Given:
Security Service Company:
1.3 1.7 1.6 1.4 1.5 1.5 1.7 1.6 1.4 1.5
Mean: 1.52
Standard Deviation: 0.131656

Other companies:
1.9 1.8 1.6 1.7 1.6 1.8 1.7 1.6 1.7 1.6
Mean: 1.7
Standard deviation: 0.105409

The coefficient of variation for security Service Company:
CV = (Standard Deviation/Mean) * 100.
= (0.131656/1.52) * 100
= 8.66%

The coefficient of variation for other companies:

CV = (Standard Deviation/Mean) * 100.
= (0.105409 / 1.7) * 100
= 6.20%

The limited data listed here show evidence of stealing by the security service company's employees because there is a significant difference in the variation.