Is there a difference in the weights of contents in a can of Diet Coke versus a regular can of Coke?  In a random sample of n=36 cans of Diet Coke, the mean weight of the contents of a can was 0.78479 lbs with a standard deviation of 0.00439 lbs. In an independent random sample of n=36 cans of regular Coke, the mean weight of the contents of a can was 0.81682 lbs with a standard deviation of 0.00751 lbs. Assuming that both populations are normally distributed and that sigma1 to the power of 2 = sigma2 to the power of 2, determine whether there is a difference in the mean weight of the contents of a can of Diet Coke vs. regular Coke with a 5% significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Is there a difference in the weights of contents in a can of Diet Coke versus a regular can of Coke?  In a random sample of n=36 cans of Diet Coke, the mean weight of the contents of a can was 0.78479 lbs with a standard deviation of 0.00439 lbs. In an independent random sample of n=36 cans of regular Coke, the mean weight of the contents of a can was 0.81682 lbs with a standard deviation of 0.00751 lbs.

  • Assuming that both populations are normally distributed and that sigma1 to the power of 2 = sigma2 to the power of 2, determine whether there is a difference in the mean weight of the contents of a can of Diet Coke vs. regular Coke with a 5% significance level.
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