Fried PCs. A computer company recently experienced a disastrous fire that ruined

Question

Fried PCs. A computer company recently experienced a disastrous fire that ruined some of its inventory. Unfortunately, during the panic of the fire, some of the damaged computers were sent to another warehouse, where they were mixed with undamaged computers. The engineer responsible for quality control would like to check out each computer in order to decide whether it?s undamaged or damaged. Each computer undergoes a series of 100 tests. The number of tests it fails will be used to make the decision. If it fails more than a certain number, it will be classified as damaged and then scrapped. From past history, the distribution of the number of tests failed is known for both undamaged and damaged computers. The probabilities associated with each outcome are listed in the table below: a. To the engineers, this is a hypothesis-testing situation. State the null and alternative hypotheses. b. What would a Type I error mean in this context? c. What would a Type II error mean in this context?

Explanation / Answer

a) H0: the average failures of damaged and undamaged computers is the same

H1: the averge failures of damaged computers is more than that of undamaged ones

b) If th e average failures of damaged and undamaged computers are the same, but we reject it, then it is type 1 error.

c) On the other hand if the average failures of damaged computers is greater, but we accept the null hypothesis, then it is type 2 error.

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