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Name:

3 ways to increase power

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.

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

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

Shade and label

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?

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?