From a population of cans of coffee marked "13.8 ounces," a sample of 36 cans is selected and the contents of each can are weighed. The sample revealed a mean of 14 ounces . Test to see if the mean of the population is at most 13.8 ounces. (Assume the population is normally distributed with a standard deviation of 1 ounces.) Use a .05 level of significance.     P value=0.88  Therefore, Do not reject H0. There is  sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces.      P value=0.88  Therefore,  reject H0. There is sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces.      P value=0.88  Therefore, Do not reject H0. There is Not sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces.      P value=0.88 Therefore, reject H0. There is Not sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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  1. From a population of cans of coffee marked "13.8 ounces," a sample of 36 cans is selected and the contents of each can are weighed. The sample revealed a mean of 14 ounces . Test to see if the mean of the population is at most 13.8 ounces. (Assume the population is normally distributed with a standard deviation of 1 ounces.) Use a .05 level of significance.

       

    P value=0.88  Therefore, Do not reject H0. There is  sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces. 

       

    P value=0.88  Therefore,  reject H0. There is sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces. 

       

    P value=0.88  Therefore, Do not reject H0. There is Not sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces. 

       

    P value=0.88 Therefore, reject H0. There is Not sufficient evidence at α = .05 to conclude that the population mean amount of coffee is less than 13.8 ounces. 

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