Final Answer:
Based on the significance level test, we fail to reject the null hypothesis that the mean volume of cans of coke is ounces. There is not enough evidence to support the claim that consumers are being cheated.
Step-by-step explanation:
In hypothesis testing, we set up a null hypothesis and an alternative hypothesis to test a claim. In this case, the null hypothesis is that the mean volume of cans of coke is equal to ounces and the alternative hypothesis is that it is not equal to ounces . We use the significance level (α) to determine the threshold for rejecting the null hypothesis.
The test statistic is calculated using the sample mean, the population standard deviation and the sample size. We compare the calculated t-value with the critical t-value from the t-distribution table to make a decision. If the calculated t-value falls within the acceptance region, we fail to reject the null hypothesis; otherwise, we reject it.
In our case, if the calculated t-value does not fall into the rejection region, we fail to reject the null hypothesis. This means that there is not enough evidence to support the claim that cans of coke have a mean volume different from ounces. Consequently, we cannot conclude that consumers are being cheated based on the provided data. The results suggest that the mean volume of cans of coke appears to be consistent with the claimed volume.