Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 are defective parts are found in the sample from machine 1 while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same fraction defective of parts? Suppose that alpha1 = 0.05 and alpha2 = 0.01. (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = (rounded to 4 decimal places) (b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05. n = (rounded to the nearest integer)
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Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 are defective parts are found in the sample from machine 1 while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same fraction defective of parts? Suppose that alpha1 = 0.05 and alpha2 = 0.01.
(a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = (rounded to 4 decimal places)
(b) Determine the
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