Question

A local brewery distributes beer bottles labeled 32 ounces. A government agency claims that the brewery is cheating the consumer. (Cheating the consumer means selling less than what you are saying you are selling). The agency selects 75 of those bottles, measures their contents, and obtains a mean of 31.7 ounces and a standard deviation of 0.70 ounces. Use a level of significance of 0.05. Can you support the government agency's claim? Answer the following:

A) State the hypothesis.

B) Identify the level of significance.

C) Draw the distribution, shade the tail(s) and label the values of the standardized test statistic and the p-value.

D) Make your decision and state why.

E) Write the interpretation and answer the question.

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = -3.7115

Test Criteria :-
Reject null hypothesis if


Result :- Reject null hypothesis

Decision based on P value
P - value = P ( t > 3.7115 ) = 0.0002
Reject null hypothesis if P value < level of significance
P - value = 0.0002 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis

There is sufficient evidence to support the claim that the brewery is cheating the consumer at 5% level of significance.