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Detailed calculations: A person in Toronto wants to know whether there is a difference in the mean hourly wage rate of table servers and construction

Detailed calculations: A person in Toronto wants to know whether there is a difference in the mean hourly wage rate of table servers and construction workers in Toronto. At level of significance at 0.05, can you inform the city planner if there is a difference in mean hourly wage rate between both professions?

Sample Table Servers Construction workers Difference
1 $29.80 $28.76 $1.04
2 30.32 29.4 0.92
3 30.57 29.94 0.63
4 30.04 28.93 1.11
5 30.09 29.78 0.31
6 30.02 28.66 1.36
7 29.6 29.13 0.47
8 29.63 29.42 0.21
9 30.17 29.29 0.88
10 30.81 29.75 1.06
11 30.09 28.05 2.04
12 29.35 29.07 0.28
13 29.42 28.79 0.63
14 29.78 29.54 0.24
15 29.6 29.6 0
16 30.6 30.19 0.41
17 30.79 28.65 2.14
18 29.14 29.95 0.81
19 29.91 28.75 1.16
20 28.74 29.21 0.47
21 33 31 2
22 32 32.2 -0.2
23 28 33.5 -5.5
24 29 31.2 -2.2
25 32 32.4 -0.4
26 31 31.2 -0.2
27 35 32.5 2.5
28 32 33.5 -1.5
29 34 28 6
30 33 29 4
31 28 29.25 -1.25
32 29 28.6 0.4
33 28 28.4 -0.4
34 30 29.7 0.3

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