Question

In: Statistics and Probability

3. You wish to show that the wood stain your company has developed has a drying...

3. You wish to show that the wood stain your company has developed has a drying time
under 180 minutes. You can assume that drying times are normally distributed, and it is known that ? = 25. You take a sample of 22 drying times and collect the following sample data: ? = 172, ? = 24.8.
a. Perform a hypothesis test at the 0.05 level to see if the drying time is under 180 minutes. Make sure to include your hypotheses, your test stat, either a p-value or critical value(s), and your conclusion.
b. What is the probability of a Type II error if μ is actually equal to 175?

Solutions

Expert Solution

(a)

Conclusion: There is not sufficient evidence to conclude that the drying time is under 180 minutes.

(b)

Answer: type II error = 0.7611

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orchestra answered 3 years ago
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