Bottling Company Case Study

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Bottling Stats

The mean, median and standard deviation of this data set are as follows:

Mean

Median

STD Dev

The formula for the confidence interval is anything under the curve besides the top 2.5% and the bottom 2.5%.

So 1.96 * .5503 / (5.477) = 0.1969 is the margin of error.

The confidence interval therefore is 14.87 ± 0.1969, meaning that the lower bound is 14.67 and the upper bound is 15.07.

The question is asked wrong. If you want to test if a single bottle has 16 ounces or not, you measure the liquid.

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There are 30 different samples, each having performed this test. It is assumed that the question intends to ask about the average bottle, maybe, something like that.

The null hypothesis is that there is less than 16 ounces of soda in a typical bottle. The alternative hypothesis is that there are 16 ounces or more in a typical bottle.

To test this, you run the numbers of the 30 samples. The 95% confidence interval is 16 ± .1969, so 15.80.....

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