1. Name:

2. 3 ways to increase power

3. Salty potato chips
The mean salt content of a certain type of potato chip is supposed to be 2.0 milligrams (mg). The salt content of these chips varies Normally with standard deviation σ = 0.1 mg. From each batch produced, an inspector takes a sample of 50 chips and measures the salt content of each chip. The inspector rejects the entire batch if the sample mean salt content is significantly different from 2 mg at the 5% significance level.

4. Hypotheses
Explain the type 1 error
P(type 1) =

5. Explain type 2 error
P(type 2) if alt mean = 2.05

6. Shade and label

7. What is the power of the test to detect μ = 2.05?
What is the power of the test to detect μ = 1.95? Why does this make sense?

8. how would this affect the probability of a Type I error?
If the inspector used a 10% significance level instead of a 5% significance level… 
how would this affect the probability of a Type I error?
A Type II error? 
The power of the test?