A consumer products company is formulating a new shampoo and is interested
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A consumer products company is formulating a new shampoo and is interested

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 Ho: µ = 175 millimeters versus H1: µ = 175 millimeters, using the results of n = 10 samples.

(a) Find the type I error probability if the critical region is x > 185.

(b) What is the probability of type II error if the true mean foam height is 195 millimeters?

Hint
ManagementA consumer is a person who buys and uses a product. The wellness of the product determines whether the consumer will continue to use it or not. The consumer is also a person who can market the product indirectly, for example if someone uses a product and tell others about it, they can also get iterest to buy the product...

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