A consumer products company is formulating new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has standard deviation of 20 mm. The company desires to test Ho: µ=175 mm versus H1: µ>175 mm, using results of n=10 samples (zero points for not showing your calculations).
a. Determine the P-value if the sample average is x = 185.
b. Determine the probability of type II error if the true mean foam height is 200 mm and we suppose that a=0.05?
c. What is the power of test from part b?