Question

HULPU To recieve full credit you must show all work #1. To determine whether the pipe welds in a nuclear power plant meet specifications a random sample of welds is selected, and tests conducted on each. Weld strength is measured as the force required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100lb/in the inspection team decides to test H = 100 versus H: > 100. Why is this better than H: < 100 ? The weld strength should be greater than 100 The strength should exceed 100 th " #2. If one hypothesis test is to be done at a = .05 and another at a = .01, what is the overall probability of making a type I error? (05) (101) : 2.00057 #3. The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = .200 kg. Let u denote the true average weight reading on the scale. (a) What would be the appropriate hypotheses being tested here? Ho: M= 10kg

Answer 1

1.

Because it is better to prove your result by rejecting null hypothesis than failing to reject it.

H_a: $\mu$ > 100 will be proved if we reject the null hypothesis and in the other case we need to keep H_a: $\mu$ < 100, we would need to fail to reject the null hypothesis which is not strong evidence.

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