The production manager of a food processing company took a random sample of 49 c
ID: 3231557 • Letter: T
Question
The production manager of a food processing company took a random sample of 49 cans and found that the mean weight was 20.07 ounces. The label of cans shown20-ounce. At the .07 level of significance, can be conclude that cans are over-filling? Assume the standard deviation of the process is known at 0.20 ounce. a. State the null and alternative hypotheses. H_0: H_1: b. What is the critical value of the test? c. What is the decision rule? d. Using the critical value approach, state your decision regarding H_0.Explanation / Answer
Answer to all the questions:
a.
Ho: Mu <20.0
Ha: Mu>=20.0
b.
Critical value of test is alpah = .07 or Zc =1.475
c. Decision rule?
Z = (20.07-20)/(.20/sqrt(49)) =2.45 which is more than 1.475
Which means that deciion rule is "If Z>1.475 then reject null and accept alternative hypothesis"
d.
The decision says that Z statistic is more than Zc and thus we reject null hypothesis and conclude that Ha:Mu>=20.0 which means that cans are overfilling.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.