# Question A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test How-175 mm versus H1: >175 mm using the results of n-10 samples. The sample mean is 185 mm. Find the Type I error probability of a if the critical region is a sample mean> 185. Round your answer to 2 digits.

ZFKBVS The Asker · Probability and Statistics

Transcribed Image Text: A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test How-175 mm versus H1: >175 mm using the results of n-10 samples. The sample mean is 185 mm. Find the Type I error probability of a if the critical region is a sample mean> 185. Round your answer to 2 digits.
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Transcribed Image Text: A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test How-175 mm versus H1: >175 mm using the results of n-10 samples. The sample mean is 185 mm. Find the Type I error probability of a if the critical region is a sample mean> 185. Round your answer to 2 digits.