A machine fills 12-ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal to 0.02 ounce. A sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given. At alpha=0.05, can you reject the claim that the machine is functioning properly? Justify your answer. (Assume that the variables are approximately normally distributed).  12.04   11.91   11.91   11.91    11.91   11.97   12.01   12.06

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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A machine fills 12-ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal to 0.02 ounce. A sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given. At alpha=0.05, can you reject the claim that the machine is functioning properly? Justify your answer. (Assume that the variables are approximately normally distributed). 

12.04   11.91   11.91   11.91   

11.91   11.97   12.01   12.06

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