Problem 2E

A test has power 0.80 when μ = 3.5. True or false:

a. The probability of rejecting H0 when μ = 3.5 is 0.80.

b. The probability of making a type I error when μ = 3.5 is 0.80.

c. The probability of making a type I error when μ = 3.5 is 0.20.

d. The probability of making a type II error when μ = 3.5 is 0.80.

e. The probability of making a type II error when μ = 3.5 is 0.20.

f. The probability that H0 is false when μ = 3.5 is 0.80.

Observational Studies Versus Designed Experiments MAT 120 Andrew Isbell Two types of studies are Observational Studies and Designed Experiments In observational studies, things are not being manipulated to change the outcome of whatever is being studied. In designed experiments, things are intentionally manipulated to change the outcome of whatever is being studied. In these experiments, there is a control group. Response variable the thing which is being measured. Explanatory variable the thing which explains the response variable. Confounding when the effects of two or more explanatory variables are not separated. Therefore, any relationship between the response variable and explanatory variable may be due to some variable not taken into account