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 millimeters versus millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is and

Complete 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 H0: u=175 millimeters versus Ha:u>175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is and n = 16

186.63

Step-by-step explanation:

Given:

Using the standard normal deviate table:

NORMSINV(0.01) = 2.326

Thus, the Z score = 2.326

To find the critical value if the mean, use the formula:

Since we are to find X', Make X' subject of the formula:

The boundary of the critical region is 186.63

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