A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on average, 0.5 lbs. Alvaro is in charge of a quality control test of Ho : =0.5 lbs versus H: µ # 0.5 lbs, where u is the mean weight of all burgers in a batch. Alvaro took a random sample of 30 burgers from a batch and found a mean weight of 0.49 lbs and a sample standard deviation of 0.04 lbs. Based on these results, he calculated a test statistic of t-1.37 and a P-value of approximately 0.181. Assuming the conditions for inference were met, what is an appropriate conclusion at the a = 0.05 significance level? Choose 1 answer: Reject Ho. This is strong evidence that the mean weight is different than 0.5 lbs. Reject Ho. This isn't enough evidence to conclude that the mean weight is different than 0.5 lbs. Fail to reject Ho. This is strong evidence that the mean weight is different than 0.5 lbs. Fail to reject Ho. This isn't enough evidence to conclude that the mean weight is different than 0.5 lbs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on average,
0.5 lbs. Alvaro is in charge of a quality control test of Ho : µ=0.5 lbs versus Ha : µ # 0.5 lbs, where
µ is the mean weight of all burgers in a batch.
Alvaro took a random sample of 30 burgers from a batch and found a mean weight of 0.49 lbs and a
sample standard deviation of 0.04 lbs. Based on these results, he calculated a test statistic of t-1.37
and a P-value of approximately 0.181.
Assuming the conditions for inference were met, what is an appropriate conclusion at the a = 0.05
significance level?
Choose 1 answer:
Reject Ho. This is strong evidence that the mean weight is different than 0.5 lbs.
Reject Ho. This isn't enough evidence to conclude that the mean weight is different than
0.5 lbs.
Fail to reject Ho. This is strong evidence that the mean weight is different than 0.5 lbs.
Fail to reject Ho. This isn't enough evidence to conclude that the mean weight is different than
0.5 lbs.
Transcribed Image Text:A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on average, 0.5 lbs. Alvaro is in charge of a quality control test of Ho : µ=0.5 lbs versus Ha : µ # 0.5 lbs, where µ is the mean weight of all burgers in a batch. Alvaro took a random sample of 30 burgers from a batch and found a mean weight of 0.49 lbs and a sample standard deviation of 0.04 lbs. Based on these results, he calculated a test statistic of t-1.37 and a P-value of approximately 0.181. Assuming the conditions for inference were met, what is an appropriate conclusion at the a = 0.05 significance level? Choose 1 answer: Reject Ho. This is strong evidence that the mean weight is different than 0.5 lbs. Reject Ho. This isn't enough evidence to conclude that the mean weight is different than 0.5 lbs. Fail to reject Ho. This is strong evidence that the mean weight is different than 0.5 lbs. Fail to reject Ho. This isn't enough evidence to conclude that the mean weight is different than 0.5 lbs.
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