### Random sample from a normal population

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A set of sample scores from an experiment has an N = 30 and an obt = 19.

a. Can we reject the null hypothesis that the sample is a random sample from a normal population with µ= 22 and σ=8? Use α=0.01 1 tail. Assume the sample mean is in the correct direction.

b. What is the power of the experiment to detect a real effect such that µreal = 20?

c. What is the power to detect a µreal = 20 if N is increased to 100?

d. What value does N have to equal to achieve a power of 0.8000 to detect a µreal = 20? Use the nearest table value for zobt

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