A soda machine is set to fill bottles with 24 ounces of cola. As part of a quality control program, an inspector records the amount of fill over or under 24 ounces for one minute. His observations are shown below.
| -0.40 | -0.45 | -0.21 | -0.15 | -0.71 | -0.05 | -0.84 | -0.12 | -0.05 | -0.58 |
| -0.55 | -1.01 | -0.07 | 0.50 | 0.08 | -0.96 | -0.36 | -0.75 | -0.84 | -1.00 |
| 0.21 | 0.25 | 0.10 | 0.99 | 0.89 | 0.05 | 0.54 | 0.31 | 0.97 | 0.67 |
| 0.45 | 0.60 | 0.01 | 0.98 | 0.22 | 0.72 | 0.77 | 0.48 | 0.13 | 0.39 |
| -0.73 | -0.78 | -0.90 | -0.14 | -0.68 | 0.80 | 0.12 | 0.16 | 0.37 | 0.27 |
Is there evidence at the α = 0.01 level of significance to support the hypothesis that the filling process is not random with respect to amounts over and under 24 ounces?
◦ z = -6.28
Since |z| > z
0.005 = 2.58, we reject H
0. There is sufficient evidence to support the hypothesis that the filling process is not random.
◦ z = 0.67
Since |z| < z
0.005 = 2.58, we do not reject H
0. There is not sufficient evidence to support the hypothesis that the filling process is not random.
◦ z = -5.71
Since |z| > z
0.005 = 2.58, we reject H
0. There is sufficient evidence to support the hypothesis that the filling process is not random.
◦ z = -1.25
Since |z| < z
0.005 = 2.58, we do not reject H
0. There is not sufficient evidence to support the hypothesis that the filling process is not random.
Skin testing. Note the spot labeled H, which is the positive histamine control, and the spot labeled ...
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