Two machines are used to fill plastic bottles with dishwashing detergent. Two random samples of 1...

 

Transcribed Image Text:

Two machines are used to fill plastic bottles with dishwashing detergent. Two random samples of "1 = 12 bottles from machine 1 and n2 = 10 bottles from machine 2 are selected, and the sample mean and the sample standard deviation fill volumes of machine 1, respectively, are X1 = 30.87 and Si = 0.1 fluid ounces. And the sample mean and the sample standard deviation fill volumes of machine 2, respectively, are X2 = 30.68 and S2 = 0.2 fluid ounces. Assume normality of the fill volumes of both machines. a) Construct a 90% two-sided confidence interval on the mean difference in fill volume. Interpret this interval. (b) Construct a 95% two-sided confidence interval on the mean difference in fill volume. Compare and comment on the width of this interval to the width of the interval in part (a). Two machines are used to fill plastic bottles with dishwashing detergent. Two random samples of "1 = 12 bottles from machine 1 and n2 = 10 bottles from machine 2 are selected, and the sample mean and the sample standard deviation fill volumes of machine 1, respectively, are X1 = 30.87 and Si = 0.1 fluid ounces. And the sample mean and the sample standard deviation fill volumes of machine 2, respectively, are X2 = 30.68 and S2 = 0.2 fluid ounces. Assume normality of the fill volumes of both machines. a) Construct a 90% two-sided confidence interval on the mean difference in fill volume. Interpret this interval. (b) Construct a 95% two-sided confidence interval on the mean difference in fill volume. Compare and comment on the width of this interval to the width of the interval in part (a).

Answer rating: 100% (QA)

a Step 1 The critical value The confidence level 090 The sig... View the full answer