Propose a logical hypothesis test

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Reference no: EM131852962

An engineer must report as to the kind of soil-pile behavior that exists at a site. The choice will be based on the indications from the blow counts from five preliminary piles. The null hypothesis is that the behavior is type A which is known from experience to exhibit a mean blow count of 20/ft, while the alternate hypothesis is that the behavior is type B, which gives rise to a mean blow count of 30/ft. In both cases the standard deviation of the number of blows per foot is 5.

(a) Propose a logical hypothesis test, i.e., a logical statistic and a reasonable form for the operating rule.

(b) Find the specific operating rule which gives a type I error probability of 25 percent. Assume an appropriate, convenient distribution for the sample statistic adopted.

(d) What should the engineer report if the blow counts observed are 31, 22, 28, 25, 32?

Reference no: EM131852962

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