A candy bar manufacturer sells a "fun size" version that is advertised to weigh 17 grams. A hungry teacher selected a random sample of 44 fun size bars and found a 95% confidence interval for the true mean weight to be 16.945 grams to 17.395 grams Does the confidence interval provide convincing evidence that the true mean weight is 17 grams? Explain your answer. Yes. Because the 95% confidence interval contains the value 17, there is convincing evidence that the true mean weigh is 17 grams. We are 95% confident that the interval from 16.945 to 17.395 contains the true mean weight of fun size candy bars.
A candy bar manufacturer sells a "fun size" version that is advertised to weigh 17 grams. A hungry teacher selected a random sample of 44 fun size bars and found a 95% confidence interval for the true mean weight to be 16.945 grams to 17.395 grams Does the confidence interval provide convincing evidence that the true mean weight is 17 grams? Explain your answer. Yes. Because the 95% confidence interval contains the value 17, there is convincing evidence that the true mean weigh is 17 grams. We are 95% confident that the interval from 16.945 to 17.395 contains the true mean weight of fun size candy bars.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A candy bar manufacturer sells a "fun size" version that is advertised to weigh 17 grams. A hungry teacher selected a random
sample of 44 fun size bars and found a 95% confidence interval for the true mean weight to be 16.945 grams to 17.395 grams.
Does the confidence interval provide convincing evidence that the true mean weight is 17 grams? Explain your answer.
Yes. Because the 95% confidence interval contains the value 17, there is convincing evidence that the true mean weight
is 17 grams.
We are 95% confident that the interval from 16.945 to 17.395 contains the true mean weight of fun size candy bars.
Because the point estimate is 17.17 grams, there is not convincing evidence that the true mean weight is 17 grams.
No. Although 17 is a plausible value for the true mean weight of all cans of diet cola, there are many other plausible
values besides 17 in the confidence interval. Because any of these values could be the true mean, there is not
convincing evidence that the true mean weight is 17 grams.
Even though this confidence interval includes 17 grams, this might not occur again in different samples. There is not
enough evidence to make a conclusion regarding the true mean weight.
We are 95% confident that the interval from 16.945 to 17.395 contains the true mean weight of fun size candy bars.
Because we are not 100% certain, there is not convincing evidence that the true mean weight is equal to 17 grams.
Expert Solution

Step 1
Given information:
95% confidence interval for the true mean weight to be 16.945 and 17.395 grams.
Null Hypothesis:
H0: The mean weight is 17 grams.
Alternative Hypothesis:
H1: The mean weight is not equal to 17 grams.
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