As a shift manager at a local fast food place, you areresponsible for ensuring quality control. You do not want to weighall the frozen hamburger patties that get delivered by yoursupplier to make sure they weigh four ounces on average, so youchoose 25 patties at random. You calculate that the sample meanweight of patties is 3.4 ounces and the standard deviation of theweight of hamburger patties to be 0.5 ounces.
(a) Test the hypothesis that the population mean weight ofpatties is equal to 4 ounces.
(b) You are particularly concerned about the population weightbeing under 4 ounces, is there any reason for concern? Explainusing the concept of a confidence interval.