Quality - Statistics Project Example

Still from Table II-A, the maximum locate number is located where the raw with N code letter intersects with 1.5 percent – this number is 14, which is the maximum locate number. To estimate the producer’s risk, we shall use binomial distribution Table. Since we shall require n = 15 as the sample size, we shall go to the row where n = 5. In the ‘x’ Colum, we shall select 2, assuming that we shall not allow more than two defects. To get the producer’s risk, we shall locate the value that corresponds to 0.

05, which is the AQL - this value is 0.97. Therefore, the producer’s risk = 100-97 = 3% or 0.03. This is a two-tailed test because the null hypothesis will be rejected if the sample mean is either too large or too small – there are two outcomes that will lead to rejection of the null hypothesis. Considering the two-tailed test, we shall be interested in establishing whether the p-value is less than -2.5 or greater than 2.5 Using t Distribution Table, we find that P (t > 2.5) = 0.9885 and P(t < -1.77) = 0.9885 Therefore, p-value = 0.9885*2 =