A bottling company produces bottles that hold 8 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling
Company randomly samples 16 bottles and finds the average amount of liquid held by the bottles
Is 7.7 ounces with a standard deviation of .4 ounce. Calculate the appropriate test statistic.
A)t = -12.000
B)t = -3.000
C)t = -1.897
D)t = -2.905

Question

Quizplus · Accepted Answer

The test statistic for a sample mean can be calculated using the formula $t = \frac{\bar{x} - \mu}{(s/\sqrt{n})}$, where $\bar{x}$ is the sample mean, $\mu$ is the population mean, $s$ is the sample standard deviation, and $n$ is the sample size. Here, $\bar{x} = 7.7$, $\mu = 8$, $s = 0.4$, and $n = 16$. Plugging these values into the formula gives $t = \frac{7.7 - 8}{(0.4/\sqrt{16})} = \frac{-0.3}{0.1} = -3.000$.

A Bottling Company Produces Bottles That Hold 8 Ounces of Liquid