A bottling 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.
A) At $\alpha = 0.05$, reject the null hypothesis.
B) At $\alpha = 0.10$, fail to reject the null hypothesis.
C) At $\alpha = 0.05$, accept the null hypothesis.
D) At $\alpha = 0.025$, reject the null hypothesis.

Question

A bottling 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. 
A) At $\alpha = 0.05$, reject the null hypothesis.
B) At $\alpha = 0.10$, fail to reject the null hypothesis.
C) At $\alpha = 0.05$, accept the null hypothesis.
D) At $\alpha = 0.025$, reject the null hypothesis.

Quizplus · Accepted Answer

At $\alpha = 0.05$, the p-value of 0.0455 is less than the significance level, leading to the rejection of the null hypothesis.

A Bottling Company Produces Bottles That Hold 12 Ounces of Liquid