a.
Determine the Power of the test.

b.
Determine Beta.

c.
Determine the sample size needed if
you wanted to conduct the test in

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30.
The drawing shown diagrams a hypothesis test for population mean design under the Null Hypothesis (top
drawing) and a specific Alternative Hypothesis (bottom drawing). The sample size for the test is 200.
a.
State the Null and Alternative Hypotheses
< 8

b.
What are the values of
0
and
in this problem?
a

c.
What is the significance level of

d.
What is the Power of the test
when the population mean = 4?

e.
Determine the probability
associated with Type I error.

f.
Determine the probability
associated with Type II error.

g.
Under the Null Hypothesis, what
is the probability the sample
mean will be over 6?

h.
If the significance level was set
at 5%, would the power
increase, decrease or stay the same?

i.
If the test was conducted, and the p-value was .085, would the decision be Reject or Fail to Reject the

j.
If the sample size was changed to 100, would the shaded on area on the bottom (Ha) graph increase,