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7. The accompanying table lists the receipt total for 350 randomly selected cust

ID: 3067628 • Letter: 7

Question

7. The accompanying table lists the receipt total for 350 randomly selected customers of a home improvement store. Complete parts a through d below. Click the icon to view the data table a) Using technology and the 2 2 n rule, construct a frequency distribution for these data. Select the correct choice below and fill in the answer boxes to complete your choice A. Receipt Total $0 to less than $40 $40 to less than $80 $80 to less than $120 $120 to less than $160 $160 to less than 200 $200 to less than $240 $240 to less than $280 $280 to less than $320 $320 to less than $360 Frequency Receipt Total $0 to less than $45 $45 to less than $90 $90 to less than $135 $135 to less than $180 $180 to less than 225 $225 to less than $270 $270 to less than $315 $315 to less than $360 Frequency b) Using the results from part a, calculate the relative frequencies for each class. Select the correct choice below and fill in the answer boxes to complete your choice (Round to the nearest thousandth as needed.) Relative Frequency Relative Frequency Receipt Total $0 to less than $45 $45 to less than $90 $90 to less than $135 $135 to less than $180 $180 to less than $225 $225 to less than $270 $270 to less than $315 $315 to less than $360 Receipt Total $0 to less than $40 $40 to less than $80 $80 to less than $120 $120 to less than $160 $160 to less than $200 $200 to less than 240 $240 to less than $280 $280 to less than $320 $320 to less than $360 c) Using the results from part a, calculate the cumulative relative frequencies for each class. Select the correct choice below and fil in the answer boxes to complete your choice (Round to the nearest thousandth as needed.) O A. Cumulative Relative Cumulative Receipt Total Relative Frequenc less than $40 less than $80 less than $120 less than $160 less than $200 less than $240 less than $280 Receipt Tota Frequency less than $45 less than $90 less than $135 less than $180 less than $225 less than $270 httpsxlitemprod.pearsoncmg.com/apiv1/printmath 113

Explanation / Answer

(a)          Since Number of Total Receipts (n)=350

                29 =512>350

                Hence K=9

                Therefore Option (A) is correct and the Frequency is given below

Receipt Total

Frequency (F)

0-40

52

40-80

105

80-120

90

120-160

64

160-200

15

200-240

12

240-280

4

280-320

5

320-360

3

Total

350

               

(b)         

Answer (B) and the relative frequency distribution is given below

Receipt Total

Relative Frequency (F/n)

0-40

0.149

40-80

0.300

80-120

0.257

120-160

0.183

160-200

0.043

200-240

0.034

240-280

0.011

280-320

0.014

320-360

0.009

(c)          

Answer (B) and cumulative distribution is given below

Receipt Total

Cumulative Relative Frequency

Less than 40

0.149

Less than 80

0.449

Less than 120

0.706

Less than 160

0.889

Less than 200

0.931

Less than 240

0.966

Less than 280

0.977

Less than 320

0.991

Less than 360

1.000

(d)

Answer (B)

Receipt Total

Frequency (F)

0-40

52

40-80

105

80-120

90

120-160

64

160-200

15

200-240

12

240-280

4

280-320

5

320-360

3

Total

350

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