Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be SD1= 0.11 fluid ounces and SD2=0.15 fluid ounces for the two machines, respectively. Two random samples of n1=12 bottles from machine 1 and n2=10 bottles from machine 2 are selected, and the sample mean fill volumes are Xbar1=30.89 fluid ounces and Xbar2=30.67 fluid ounces. Assume normality. (d) Test the hypothesis that both machines fill to the same mean volume. Use alpha = 0.05 . What is the P-value?
Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be SD1= 0.11 fluid ounces and SD2=0.15 fluid ounces for the two machines, respectively. Two random samples of n1=12 bottles from machine 1 and n2=10 bottles from machine 2 are selected, and the sample mean fill volumes are Xbar1=30.89 fluid ounces and Xbar2=30.67 fluid ounces. Assume normality.
(d) Test the hypothesis that both machines fill to the same mean volume. Use alpha = 0.05 . What is the P-value?
(e) If the Beta -error of the test when the true difference in fill volume is 0.2 fluid ounces should not exceed 0.1, what sample sizes must be used? Use alpha = 0.05 .
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
