The manager of a grocery store wants to determine whether the amount of water contained in a 1L bottle purchased from a known manufacturer actually averages to 1L. It is known from the manufacturer's specifications that the standard deviation of the amount of water is equal to 0.02L. A random sample of 32 bottles is selected, and the mean amount of water per 1L bottle is found to be 0.995L.
-The p-value is _____.
A).0793
B).1586
C).0023
D).0046
E).0456

Question

Quizplus · Accepted Answer

The p-value is calculated based on the sample mean, the population mean (assumed to be 1L), the standard deviation (0.02L), and the sample size (32). The p-value indicates the probability of observing a sample mean as extreme as 0.995L if the true population mean is 1L. A p-value of .1586 suggests that there is a 15.86% chance of observing such a sample mean due to random sampling variability, which is not typically considered strong evidence against the null hypothesis that the true mean is 1L.

The Manager of a Grocery Store Wants to Determine Whether