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 24 bottles and finds the average amount of liquid held by the bottles is 7.6 ounces with a standard deviation of .3 ounce. Calculate the appropriate test statistic.
A) t = -6.532
B) t = -32.000
C) t = -3.578
D) t = -6.394

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula: t = (X̄ - μ) / (s/√n), where X̄ is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size. Substituting the given values: t = (7.6 - 8) / (0.3/√24) = -6.532.

A Bottling Company Produces Bottles That Hold 8 Ounces of Liquid