Question

The historical mean yield of soybeans from farms in Iowa is 32.9 bushels per acre. Following a dry summer, a random sample of 40 Iowa farms is taken. A hypothesis test is run at the 5% significance level to determine if the mean yield from all Iowa farms of the dry summer was less than the historical mean. If the dry summer mean yield is determined to be less than the historical mean Farmer Brown will invest a lot of money in a new irrigation system that will offset the dryness

a. Write in context what a Type I error is.

b. Write in context what a Type II error is.

Answer 1