A large box of corn flakes claims to contain 525 grams of cereal. Since cereal boxes must contain at least as much product as their packaging claims, the machine that fills the boxes is set to put 533 grams in each box. The machine has a known standard deviation of 5.5 grams and the distribution of fills is known to be normal. At random intervals throughout the day, workers sample 5 boxes and weigh the cereal in each box. If the average is less than 530 grams, the machine is shut down and adjusted.

1.How often will the workers make a Type I error with this decision rule and the hypotheses:

0

:=533

H0:=533vs.

:<533

Ha:<533

Probability of a Type I error =