Two machines are used for lling plastic bottles with a net volume of 16.0 ounces. The ll volume can be assumed to be normal with standard deviation 01 = 0.020 and 02 = 0.025 ounces. A member of the quality engineering staff suspects that both machines ll to the same mean net volume, whether or not this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. Machine 1 Machine 2 16.03 16.02 16.01 16.03 16.04 15.97 15.96 16.04 15.99 16 Do you think the engineer is correct? Use ct = 0.06. What is the Pvalue for this test? Calculate a 94% condence interval on the difference in means. Provide a practical interpretation of this interval. What is the power of the test in part (a) for a true difference in means of 0.04? Assume that sample sizes are equal. What sample size should be used to ensure that B : 0.05 if the true difference in means is 0.04? Assume that o e 0.06