Detailed solutions please Suppose that a random sample of si

Detailed solutions please: Suppose that a random sample of size 5 is drawn from a uniform pdf: We wish to test by rejecting the null hypothesis if ymax >= k. Find the value of k that makes the probability of committing a Type I error equal to 0.05.

Solution

As per null hypothesis theta =2

Type I error prob =0.05 means

P(ymax>=k) = 0.05

i.e. cum prob of y =k = 0.05

k/theta = 0.05

k = 0.05 theta

If theta =2, k = 1.