Question

The Corona beer company produces bottles that hold 12 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 64 bottles and finds the average amount of liquid held by the bottles is 11.9155 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0455. State the proper conclusion.

Answer 1

solution:

the average amount of liquid in the bottles = = 12 ounces

the claim is that the average amount of liquid is less than 12 ounces

so, null and alternative hypothesis will be

sample size = 64

sample average = 11.9155

sample standard deviation = 0.40

and calculated p value found to be = 0.0455

let significance level

since p value = 0.0455 < 0.05, so rejecting the nul hypothesis

conclusion:

there is enough evidence at 5 % significance level, that the average amount of lilquid in the bottle is less than the 12 ounces.