Specifications for a water pipe rail for a mean breaking strength mu of more tha

Question

Specifications for a water pipe rail for a mean breaking strength mu of more than 2, 400 lb per linear fool. Engineers will perform a hypothesis test to decide whether or not to use a certain kind of pipe. They will select a random sample of 1 ft sections of pipe, measure their breaking strengths, and perform a hypothesis test. The pipe will not be used unless the engineers ran conclude that mu > 2, 400. Assume they test H_0: mu lessthanorequalto 2, 400 versus H_1: mu > 2, 400. Will the engineers decide to use the pipe If H_0 rejected? What if H_0 is not rejected? If H_0 is rejected, they will not use the pipe. If H_0 is not rejected, they will use the pipe. If H_0 is rejected, they will use the pipe. If H_0 is not rejected, they will not use the pipe.

Explanation / Answer

ANSWER:

(B)

If H0 is rejected, the engineers will conclude that µ > 2400, and they will use the pipe.

If H0 is not rejected, the engineers will conclude that µ might be less than or equal to 2400, and they will not use the pipe

the engineers’ action with regard to using the pipe will differ depending on whether H0 is rejected or not. This is therefore a useful test to perform, and H0 and H1 have been specified correctly

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