A consumer products company is formulating a new shampoo and is interested in foam height (in...

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test H0: μ = 175 mm versus H1: μ > 175 mm, using a random sample of n = 10 samples. (a) Find P-value if the sample average is Upper X over Bar = 185? Round your final answer to 3 decimal places. (b) What is the probability of type II error if the true mean foam height is 200 mm and we assume that α = 0.05? Round your intermediate answer to 1 decimal place. Round the final answer to 4 decimal places. (c) What is the power of the test from part (b)? Round your final answer to 4 decimal places.

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orchestra answered 1 year ago

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