Question

Assuming that, in testing H0:

μ

=20 vs. H1

μ

≠20, you decide on the critical region X bar ≤ 15 and

X bar ≥ 25. Assume X is normally distributed, σ

2

= 25, and the following four random values

are observed: 9, 20, 15, 11.

a) Would you accept or reject H

0

?

b) What level of

α

is assumed here?

c) What probability value would you report?

d) What would be the appropriate critical region for this problem if

α

=0.005? Would you reject

H

0

in this case?

Answer 1