Hammermill Premium Inkjet 24 lb. paper has a specified brightness of 106. (a) At α = 0.005, does this sample of 24 randomly chosen test sheets from a day's production run show that the mean brightness exceeds the specification? (b) Does the sample show that σ2 < 0.0025? State the hypotheses and critical value for the left-tailed test.
Brightness
106.98 107.02 106.99 106.98 107.06 107.05 107.03 107.04
107.01 107.00 107.02 107.04 107.00 106.98 106.91 106.93
107.01 106.98 106.97 106.99 106.94 106.98 107.03 106.98