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Question - Given that the maximum contaminant level for chromium is 0.1mg/L and I need to use a 0.01 level of significance, would I be correct in using the Z-score formula, stating that null hypothesis is μ<=0.1 and the alternative hypothesis is μ>50, and using the right tail test for a hypothesis testing? For context, I need to decide if the levels of chromium in the sample exceed the maximum contaminant level of 0.1mg/L.
Sample Date
Sample Number
Chromium Level (mg/L)
1-Aug
1
0.077
7-Aug
2
0.086
20-Aug
3
0.084
28-Aug
4
0.081
5-Sep
5
0.078
13-Sep
6
0.08
20-Sep
7
0.088
29-Sep
8
0.093
3-Oct
9
0.094
10-Oct
10
0.117
27-Oct
11
0.113
5-Nov
12
12-Nov
13
0.096
26-Nov
14
0.118
1-Dec
15
0.123
8-Dec
16
0.127
15-Dec
17
0.115
21-Dec
18
0.091
29-Dec
19
0.082
20
21
22
23
0.119
24
0.121
25
0.112
26
0.106
27
0.11
28
29
30
31
0.076
32
0.071
33
0.075
34
35
0.072
36
37
0.079
38
39
40
0.092
41
0.102
42
0.101
43
44
45
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