In: Statistics and Probability
A small dairy wants to make sure that their butter mill is producing bricks of butter that do not differ from the labelled weight by too much. The machine produces 30 bricks of butter per minute and runs for 4 hours Monday, Tuesday, and Wednesday mornings. If the weights of the bricks of butter are deemed to be too high or too low then that afternoon will be dedicated to recalibrating the machines.
Question 1.
Use a hypothesis test to determine if Monday's sample indicates we should recalibrate the butter mill.
Answer:
Hypotheses:
H0 : the mean difference in the weight is equal to 0
H1 : the mean difference in the weight is not equal to 0
N(-2.5,10.25^2)
We can conclude that the weights of the bricks of butter are not too high or too low hence the machines does not need to be recalibrated