Question

Math 1740 92 Summer '19 Homework: Homework: Chapter 3 Save HW Score: 20.83% , 5 of 24 pm 10 of 24 (5 complete) Score: 0 of 1 pt Overview, question 10 of 24, 5 complete Question Help 3.2.22 Listed below are amounts (n milons of dollars) oollected from parking meters by a security service company and other companies during similar time periods. Do ther imited data isted here show evidence of stealing by the security service company's omployees? Security Service Company Other Companies: 1.5 1.5 18 1.6 14 14 1.4 1.7 1.5 1.7 1.6 1.6 1.5 17 1.6 1.8 1.5 1.9 16 1.9 Find the coeficient 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 (Round to one decimal place as needed) Enter your answer in the answer box and then click Check Answer parts Clear All remaining Check Arewen ? A C W MacBook Air F10 S 2 3 4 5 6 7 8 9 0 E R T Y P S D F G H K - o N LL

Answer 1

Solution:

Given that,

x	x2
1.5	2.25
1.7	2.89
1.6	2.89
1.4	1.96
1.4	1.96
1.4	1.96
1.7	2.89
1.5	2.25
1.5	2.25
1.8	3.24
x = 15.5	x2 = 24.21

The sample mean is

Mean    = ( x / n)

= ( 1.5+1.7+1.6+1.4+1.4+1.4+1.7+1.5+1.5+1.8 / 10 )

= 15.5 / 10

= 1.55

Mean    = 1.55

The sample standard is S

  S = ( x² ) - (( x)² / n ) n - 1

= ( 24.21 - (15.5 )² / 10 ) 9

= ( 24.21 - 24.025 / 9 )

= (0.185/ 9 )

= 0.0206

= 0.1434

The sample standard is = 0.1434

Co-efficient of Variation (Sample) = S / *100%

= 0.1434 /1.55 * 100%

= 9.25%

Given that,

x	x2
1.6	2.56
1.9	3.61
1.5	2.25
1.7	2.89
1.6	2.56
1.8	3.24
1.5	2.25
1.6	2.56
1.9	3.61
1.6	2.56
x = 16.7	x2 = 28.09

The sample mean is

Mean    = ( x / n)

= (1.6+1.9+1.5+1.7+1.6+1.8+1.5+1.6+1.9+1.6 / 10 )

= 16.7 / 10

= 1.67

Mean    = 1.67

The sample standard is S

  S = ( x² ) - (( x)² / n ) n - 1

= ( 28.09 - (16.7 )² / 10 ) 9

= ( 28.09 - 27.889 / 9 )

= (0.201 / 9 )

= 0.0223

= 0.1494

The sample standard is = 0.1494

Co-efficient of Variation (Sample) = S / *100%

= 0.1494 /1.67 *100%

= 8.95%