Question

A company that makes bottles produces bottles that, on average, are supposed to hold 12 ounces of liquid. Periodically, the company gets complaints that their bottles are too small and do not hold enough liquid. To test this claim, the bottling company randomly samples 19 bottles and finds the average amount of liquid held by the bottles is 11.6 ounces with a standard deviation of .3 ounce. Calculate the appropriate test statistic.

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 12

Ha :    12

Test statistic = t =

= ( - ) / s / n

= (11.6 - 12) / 0.3 / 19

Test statistic = t = -5.812