Monday, December 12, 2011

What is the Alternative Hypothesis in this case?

A random sample of 36 cans of Coke, all labeled 12 oz, produces a mean of xbar = 12.19oz and a standard deviation s = 0.11 oz. Upon seeing these statistics, a line manager claims that the mean amount of Coke is greater than 12 oz, causing lower company profits. Which of the following gives the proper alternative hypothesis to test this claim?


(A) Ha: 渭 = 12


(B) Ha: 渭 %26gt; 12.19


(C) Ha: 渭 = 12.19


(D) Ha: 渭 %26gt; 12|||95%CI = Mean 卤 (1.96 * (Sample Standard Deviation) / root(Sample Size))





= 12.19 卤 0.11 * 1.96 / 6





So it ranges from 12.154 to 12.226





The safest Ha is therefore (D)|||D: the mean is greater than twelve. The null hypothesis would be that the mean is not greater than 12.|||D as in DAAH|||Assuming that the null hypothesis is that it's less than or equal to 12, then the alternate hypothesis is what the manager is claiming. D.

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