Question

# A consumer group is testing the claim that the mean volume of Coke in cans is...

A consumer group is testing the claim that the mean volume of Coke in cans is greater than 12 oz. A sample of 36 cans yielded a mean of 12.019 oz and a standard deviation of 0.11 oz. Test the claim that the mean is actually 12 oz. Use a = 0.05.

(1) List all the information necessary for conducting the hypothesis test and state which

test you are doing.

(2) State the null and alternative hypotheses and whether you would use a right-tailed

test, a left-tailed test, or a two-tailed test.

(3) Sketch the critical reason, indicating on the sketch what the critical value(s) are.

(4) Determine the calculated z or t.

(6) Decide if you will Reject or Fail to Reject the Null Hypothesis.

(7) Interpret your conclusion in terms of the problem.

(8) If there are any questions to be answered in the problem, do so.

Solution:

Given that:

1) = 12.019 oz

s = 0.11 oz

n = 36

2) Hypothesis:

H0 : = 12 oz

Ha : >  12 oz

right tailed test

3) degrees of freedom = d.f= n-1 = 36 - 1= 35 = 0.05

t35,0.05 =  tc = 1.690

4) t - distribution

5) test statistic:

t = ( - ) / (s / n)

t = (12.019- 12 ) / (0.11/ 36 )

t = 1.036

6) P-value = 0.1537

7) Reject H0 ,if P-value 0.05

8) Fail to Reject H0, P-value = 0.0024 > 0.05

9) There is not sufficient evidence to support the claim that the mean volume of Coke in cans is greater than 12 oz