Problem 8-24 Algo (Confidence Interval for the Difference between Means) Question 6 of eBook A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The average thickness and the standard deviation of thickness for shift 1, based on a random sample of 37 gaskets, are 10.36 mm and 0.14 mm. The similar figures for shift 2, based on a random sample of 28 gaskets, are 10.38 mm and 0.17 mm. Let //1 - //2 be the mean difference in thickness between shifts 1 and 2. a. Calculate a 95% confidence interval for #1 - //2. Round your answers to three decimal places, if necessary. Lower limit Upper limit b. Based on your answer to part a, are you convinced that the gaskets from shift 2 are, on average, wider than those from shift 1? Select Explain. Because the confidence interval extends from a | Select # value to a| Select * value, the population mean difference could be| Select # c. How would your answers to parts a and b change if the sample sizes were instead 370 and 280? We are| Select * convinced that the gaskets from shift 2 are, on average, wider than those from shift 1