Question

**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.**

Answer #1

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

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