Quesstion: An industry trade publication stated that the average profit per customer for this industry was greater than $4,500. The Sales Data is posted below this question on a sample of customers. Using a test of hypothesis, do the data support this claim or not? Use a 5% significance level. Sales Data Customer Percent Gross Profit Gross Sales Gross Profit Industry Code Competitive Rating* 1 51.0% $170.00 $86.70 1 2 2 32.0% $181.00 $57.92 3 4 3 20.0% $203.00 $40.60 2 2 4 22.0% $249.00 $54.78 5 1 5 21.0% $476.00 $99.96 5 1 6 21.0% $476.00 $99.96 5 4 7 22.0% $635.00 $139.70 2 3 8 34.0% $856.00 $291.04 3 3 9 26.0% $1,062.00 $276.12 4 2 10 16.6% $1,110.00 $183.71 7 3 11 20.0% $1,153.00 $230.60 7 3 12 36.0% $1,392.00 $501.12 4 2 13 18.0% $1,743.00 $313.74 4 2 14 20.0% $2,307.00 $461.40 7 3 15 5.0% $2,534.00 $126.70 4 5 16 29.0% $2,683.00 $778.07 7 2 17 10.0% $2,780.00 $278.00 2 3 18 37.0% $3,272.00 $1,210.64 5 3 19 60.0% $3,864.00 $2,318.40 7 1 20 24.0% $3,988.00 $957.12 6 3 21 9.0% $4,072.00 $366.48 7 3 22 50.0% $4,190.00 $2,095.00 5 3 23 17.0% $4,219.00 $717.23 3 4 24 32.0% $4,711.00 $1,507.52 7 1 25 15.0% $4,824.00 $723.60 6 3 26 10.0% $4,878.00 $487.80 7 4 27 13.0% $5,157.00 $670.41 7 2 28 22.0% $5,552.00 $1,221.44 2 3 29 17.0% $5,876.00 $998.92 1 3 30 19.0% $5,888.00 $1,118.72 6 4 31 6.0% $7,632.00 $457.92 5 4 32 23.0% $8,058.00 $1,853.34 3 3 33 23.0% ######### $2,772.88 7 2 34 14.0% ######### $1,817.34 2 4 35 22.0% ######### $2,949.32 2 3 36 14.0% ######### $2,223.48 7 3 37 28.0% ######### $4,576.04 3 3 38 27.0% ######### $5,395.95 5 3 39 3.0% ######### $604.80 5 5 40 46.0% ######### $12,243.36 5 2 41 26.0% ######### $7,284.68 5 3 42 11.0% ######### $3,184.50 4 4 43 18.0% ######### $5,336.28 4 3 44 37.0% ######### $11,477.03 6 1 45 20.0% ######### $6,261.00 2 3 46 21.0% ######### $7,301.49 7 1 47 10.0% ######### $3,481.70 4 3 48 14.0% ######### $5,405.26 1 3 49 9.0% ######### $3,503.07 2 5 50 16.0% ######### $6,485.76 4 3 51 22.0% ######### $12,067.22 6 2 52 21.0% ######### $11,520.81 7 2 53 17.0% ######### $9,870.71 5 4 54 11.0% ######### $6,914.82 4 5 55 7.0% ######### $5,500.18 3 5 56 14.0% ######### $12,988.64 4 3 57 15.0% ######### $16,925.55 1 4 58 13.0% ######### $15,079.87 4 5 59 21.0% ######### $25,379.34 5 4 60 14.0% ######### $25,074.14 6 3
Quesstion: An industry trade publication stated that the average profit per customer for this industry was greater than $4,500. The Sales Data is posted below this question on a sample of customers. Using a test of hypothesis, do the data support this claim or not? Use a 5% significance level. Sales Data Customer Percent Gross Profit Gross Sales Gross Profit Industry Code Competitive Rating* 1 51.0% $170.00 $86.70 1 2 2 32.0% $181.00 $57.92 3 4 3 20.0% $203.00 $40.60 2 2 4 22.0% $249.00 $54.78 5 1 5 21.0% $476.00 $99.96 5 1 6 21.0% $476.00 $99.96 5 4 7 22.0% $635.00 $139.70 2 3 8 34.0% $856.00 $291.04 3 3 9 26.0% $1,062.00 $276.12 4 2 10 16.6% $1,110.00 $183.71 7 3 11 20.0% $1,153.00 $230.60 7 3 12 36.0% $1,392.00 $501.12 4 2 13 18.0% $1,743.00 $313.74 4 2 14 20.0% $2,307.00 $461.40 7 3 15 5.0% $2,534.00 $126.70 4 5 16 29.0% $2,683.00 $778.07 7 2 17 10.0% $2,780.00 $278.00 2 3 18 37.0% $3,272.00 $1,210.64 5 3 19 60.0% $3,864.00 $2,318.40 7 1 20 24.0% $3,988.00 $957.12 6 3 21 9.0% $4,072.00 $366.48 7 3 22 50.0% $4,190.00 $2,095.00 5 3 23 17.0% $4,219.00 $717.23 3 4 24 32.0% $4,711.00 $1,507.52 7 1 25 15.0% $4,824.00 $723.60 6 3 26 10.0% $4,878.00 $487.80 7 4 27 13.0% $5,157.00 $670.41 7 2 28 22.0% $5,552.00 $1,221.44 2 3 29 17.0% $5,876.00 $998.92 1 3 30 19.0% $5,888.00 $1,118.72 6 4 31 6.0% $7,632.00 $457.92 5 4 32 23.0% $8,058.00 $1,853.34 3 3 33 23.0% ######### $2,772.88 7 2 34 14.0% ######### $1,817.34 2 4 35 22.0% ######### $2,949.32 2 3 36 14.0% ######### $2,223.48 7 3 37 28.0% ######### $4,576.04 3 3 38 27.0% ######### $5,395.95 5 3 39 3.0% ######### $604.80 5 5 40 46.0% ######### $12,243.36 5 2 41 26.0% ######### $7,284.68 5 3 42 11.0% ######### $3,184.50 4 4 43 18.0% ######### $5,336.28 4 3 44 37.0% ######### $11,477.03 6 1 45 20.0% ######### $6,261.00 2 3 46 21.0% ######### $7,301.49 7 1 47 10.0% ######### $3,481.70 4 3 48 14.0% ######### $5,405.26 1 3 49 9.0% ######### $3,503.07 2 5 50 16.0% ######### $6,485.76 4 3 51 22.0% ######### $12,067.22 6 2 52 21.0% ######### $11,520.81 7 2 53 17.0% ######### $9,870.71 5 4 54 11.0% ######### $6,914.82 4 5 55 7.0% ######### $5,500.18 3 5 56 14.0% ######### $12,988.64 4 3 57 15.0% ######### $16,925.55 1 4 58 13.0% ######### $15,079.87 4 5 59 21.0% ######### $25,379.34 5 4 60 14.0% ######### $25,074.14 6 3
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Quesstion: An industry trade publication stated that the average profit per customer for this industry was greater than $4,500. The Sales Data is posted below this question on a sample of customers. Using a test of hypothesis, do the data support this claim or not?
Use a 5% significance level.
| Sales Data | |||||
| Customer | Percent Gross Profit | Gross Sales | Gross Profit | Industry Code | Competitive Rating* |
| 1 | 51.0% | $170.00 | $86.70 | 1 | 2 |
| 2 | 32.0% | $181.00 | $57.92 | 3 | 4 |
| 3 | 20.0% | $203.00 | $40.60 | 2 | 2 |
| 4 | 22.0% | $249.00 | $54.78 | 5 | 1 |
| 5 | 21.0% | $476.00 | $99.96 | 5 | 1 |
| 6 | 21.0% | $476.00 | $99.96 | 5 | 4 |
| 7 | 22.0% | $635.00 | $139.70 | 2 | 3 |
| 8 | 34.0% | $856.00 | $291.04 | 3 | 3 |
| 9 | 26.0% | $1,062.00 | $276.12 | 4 | 2 |
| 10 | 16.6% | $1,110.00 | $183.71 | 7 | 3 |
| 11 | 20.0% | $1,153.00 | $230.60 | 7 | 3 |
| 12 | 36.0% | $1,392.00 | $501.12 | 4 | 2 |
| 13 | 18.0% | $1,743.00 | $313.74 | 4 | 2 |
| 14 | 20.0% | $2,307.00 | $461.40 | 7 | 3 |
| 15 | 5.0% | $2,534.00 | $126.70 | 4 | 5 |
| 16 | 29.0% | $2,683.00 | $778.07 | 7 | 2 |
| 17 | 10.0% | $2,780.00 | $278.00 | 2 | 3 |
| 18 | 37.0% | $3,272.00 | $1,210.64 | 5 | 3 |
| 19 | 60.0% | $3,864.00 | $2,318.40 | 7 | 1 |
| 20 | 24.0% | $3,988.00 | $957.12 | 6 | 3 |
| 21 | 9.0% | $4,072.00 | $366.48 | 7 | 3 |
| 22 | 50.0% | $4,190.00 | $2,095.00 | 5 | 3 |
| 23 | 17.0% | $4,219.00 | $717.23 | 3 | 4 |
| 24 | 32.0% | $4,711.00 | $1,507.52 | 7 | 1 |
| 25 | 15.0% | $4,824.00 | $723.60 | 6 | 3 |
| 26 | 10.0% | $4,878.00 | $487.80 | 7 | 4 |
| 27 | 13.0% | $5,157.00 | $670.41 | 7 | 2 |
| 28 | 22.0% | $5,552.00 | $1,221.44 | 2 | 3 |
| 29 | 17.0% | $5,876.00 | $998.92 | 1 | 3 |
| 30 | 19.0% | $5,888.00 | $1,118.72 | 6 | 4 |
| 31 | 6.0% | $7,632.00 | $457.92 | 5 | 4 |
| 32 | 23.0% | $8,058.00 | $1,853.34 | 3 | 3 |
| 33 | 23.0% | ######### | $2,772.88 | 7 | 2 |
| 34 | 14.0% | ######### | $1,817.34 | 2 | 4 |
| 35 | 22.0% | ######### | $2,949.32 | 2 | 3 |
| 36 | 14.0% | ######### | $2,223.48 | 7 | 3 |
| 37 | 28.0% | ######### | $4,576.04 | 3 | 3 |
| 38 | 27.0% | ######### | $5,395.95 | 5 | 3 |
| 39 | 3.0% | ######### | $604.80 | 5 | 5 |
| 40 | 46.0% | ######### | $12,243.36 | 5 | 2 |
| 41 | 26.0% | ######### | $7,284.68 | 5 | 3 |
| 42 | 11.0% | ######### | $3,184.50 | 4 | 4 |
| 43 | 18.0% | ######### | $5,336.28 | 4 | 3 |
| 44 | 37.0% | ######### | $11,477.03 | 6 | 1 |
| 45 | 20.0% | ######### | $6,261.00 | 2 | 3 |
| 46 | 21.0% | ######### | $7,301.49 | 7 | 1 |
| 47 | 10.0% | ######### | $3,481.70 | 4 | 3 |
| 48 | 14.0% | ######### | $5,405.26 | 1 | 3 |
| 49 | 9.0% | ######### | $3,503.07 | 2 | 5 |
| 50 | 16.0% | ######### | $6,485.76 | 4 | 3 |
| 51 | 22.0% | ######### | $12,067.22 | 6 | 2 |
| 52 | 21.0% | ######### | $11,520.81 | 7 | 2 |
| 53 | 17.0% | ######### | $9,870.71 | 5 | 4 |
| 54 | 11.0% | ######### | $6,914.82 | 4 | 5 |
| 55 | 7.0% | ######### | $5,500.18 | 3 | 5 |
| 56 | 14.0% | ######### | $12,988.64 | 4 | 3 |
| 57 | 15.0% | ######### | $16,925.55 | 1 | 4 |
| 58 | 13.0% | ######### | $15,079.87 | 4 | 5 |
| 59 | 21.0% | ######### | $25,379.34 | 5 | 4 |
| 60 | 14.0% | ######### | $25,074.14 | 6 | 3 |
| *Rates the amount of competition for sales of the products sold to these customers: 1 = very little competition to 5 = very competitive |
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