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Let Y_MAX be the sample minimum of a random sample of size 5 from a uniform distribution on the interval [0, b].

Consider the test with decision rule:

Reject b = 20 in favor of b > 20 when Y_MAX ≥ c.

a. Find the value of c for a 5% test.

b. Find the power of the test in part a when b = 25.

c. Assume the following data are the value of a random sample from the Y distribution.

11.74, 14.59, 17.71, 19.42, 19.71

Would the null hypothesis be accepted or rejected in this case?

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