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

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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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