A new manufacturing method has been introduced to streamline the canning process of cherries. Although the time to fill a can has been reduced, the quality control manager is concerned about the uniformity of the amount of cherries in each can. The cans are labelled to contain 14.5 grams of cherries (the remaining volume consisting of natural juice). To be sure that this level has not been affected by the new canning method, the manager randomly samples 80 cans over an eight hour shift. The mean number of grams is 14.64. The population standard deviation is known to be 0.4g.
-How much evidence is there that the cans contain 14.5g of cherries?
A)No evidence
B)Some evidence
C)Strong evidence
D)Very Strong evidence
E)Extremely Strong evidence

Question

Quizplus · Accepted Answer

To determine the evidence that the cans contain 14.5g of cherries, a hypothesis test can be used. Given the sample mean (14.64g), the population standard deviation (0.4g), and the sample size (80), we can calculate the z-score to see how many standard deviations the sample mean is from the hypothesized mean (14.5g). The calculation would show a significant deviation, indicating that there is very strong evidence against the hypothesis that the cans contain exactly 14.5g of cherries.

A New Manufacturing Method Has Been Introduced to Streamline the Canning