Example of a Two-Tail Hypothesis Test
I stated the hypotheses for the snake example as:
H0 :µ=6.0 days
Where m = the mean number of days to catch a loose snake in a home.
Let’s say that I know that the standard deviation of the population, σ, is 0.5 days, and my sample size to test the hypothesis, n, is 30 homes. (Please don’t ask me how I’m going to find 30 homes with loose snakes. I’m making this up as I go along, so just humor me.) We’ll also set α = 0.05, which means I’m willing to accept a 5 percent chance of committing a Type I error. Our first step is to calculate the standard error of the mean, σ x . If you remember from Chapter 13, the equation is:
Let’s assume the sample mean from the 30 homes is 6.1 ...