Is the Mean Volume of Helo Bottles Really 12 Ounces?
What is the hypothesis being tested in this case?
Do the bottles of Helo juice mix have volumes with a mean of 12 oz as stated on the label?
Calculating the Test Statistic
In this situation, a hypothesis test can be employed to ideally establish whether there is enough data to back up the assertion that Helo bottles typically have quantities of 12 ounces. The alternative hypothesis is that the mean volume is different from 12 oz, contrary to the null hypothesis that the mean volume of all Helo bottles is 12 oz.
A hypothesis test was conducted on a simple random sample of 36 bottles of Helo, with a mean volume of 12.19 oz and a standard deviation of 0.11 oz. The significance level used was 0.01. The hypothesis being tested was whether the mean volume of Helo bottles is 12 oz, as claimed on the label.
The test statistic Z was calculated using the formula Z = (Sample mean - Population mean) / (SD / √Sample Size), resulting in a value of 2.32.
Since the p-value obtained in this test was greater than the significance level of 0.01, the null hypothesis that the mean volume of Helo bottles is 12 oz cannot be rejected. This indicates that there is not enough evidence to support the alternative hypothesis that the mean volume is different from 12 oz.