A consumer products company is formulating new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed as well as has a standard deviation of 20 mm. The company wishes to test Ho: µ=175 mm versus H1: µ>175 mm, using the 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. Determine the power of the test from part b?