Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air-pollution experiment. The following readings were recorded daily for a period of 2 weeks:
Sulfur Monoxide
Day
Instrument A
Instrument B
1
0.96
0.87
2
0.82
0.74
3
0.75
0.63
4
0.61
0.55
5
0.89
0.76
6
0.64
0.70
7
0.81
0.69
8
0.68
0.57
9
0.65
0.53
10
0.84
0.88
11
0.59
0.51
12
0.94
0.79
13
0.91
14
0.77
Using the normal approximation to the binomial distribution, perform a sign test to determine whether the different instruments lead to different results. Use a 0.05 level of significance.
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