6A.6. Suppose n = 36 observa tions are taken from a normal distribution where a = 8.0 for the purpase of testing Ho:µ = 60 versus H1 : µ *60 at the tt = 0.07 level of significance.
The lead investigator skipped statistics class the day decision rules were being dis.cussed and intends to reject Ho if y falls i n the region (60 - y• , 60 + y• ).
(a) Find y" .
(b) What is the power of the test when µ = 62?
(c:) What would the power of the test be when µ = 62 if the critical region had been
defined the correct way?
ti.4.7. If Ho:µ, = 200 is to be tested against H1:µ, 200 at the a = 0.10 level of significance based on a random sample of size n from a normal distribution where CT = 15.0. what is the smaUest value for n th at will make the power ei!Ual to at least 0.75 when µ, = 197?
6.4..8. Will n = 45 be a sufficiently large sample to test Ho: µ, = 10 versur; H1.µ =I' 10 at the
a = 0.05 level of significa nce if the experimenter wants the Type II error probability to be no greater than 0.20 when f--L = 12? Assume that CT = 4.
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