Question

We run a machine that makes 4-ounce hamburger patties that we sell to local restaurants. We are concerned that the machine is not consistently putting 4 ounces of meat in each patty, so we plan to take a sample of 100 patties and calculate their average weight to determine if we should shut the plant down and bring in a repair person to work on the machine.

a. Are we doing this hypothesis test to support our research, challenge a claim, or take an action?

b. State Ho and Ha.

c. What does it mean for this problem if we reject Ho?

d. What does a Type I error mean for this specific problem?

Answer 1

(a) We are taking an action based on the hypothesis result which we get after completing the hypothesis testing

(b) Null hypothesis:- Machine is consistently putting 4 ounces of meat in each patty

Alternate hypothesis:- Machine is inconsistently putting 4 ounces of meat in each patty

(C) If we reject the null hypothesis, then this means that the machine is not woring consistently and we must shut the plant down and bring in a repair person to work on the machine

(d) Type I error is the rejection of true null hypothesis, i.e. in this case type I error means the machine is working consistently by putting 4 ounces of meat in each patty, but we shut the plant down and bring in a repair person to work on the machine(actually machine has no issue).