When it is operating correctly. a machine for manufacturing tennis balls produces balls with a mean weight of 5?.8 grams. A random sample of eight balls from the last batch produced has the weights listed below. Use the Inference for a Mean web app to complete parts a through c. Be sure to use the data in this exercise and not the preloaded data when using the web app. 573 516 57.3 57.3 57.7 5?.9 57.3 57.2 E a. Find the test statistic and Pvalue for a test ofwhether the process is in control against the alternative that the true mean of the process now differs from 57.8. The test statistic is . (Round to two decimal places as needed.) Inference for a Population Mean Descriptive Statistics: Histogram and Boxplot Enter Data: 2.0 Tennis Balls Sample Size Sample Mean Sample Standard Deviation 15 8 57.2750 0. 1669 Name of Variable: Frequency 1. Weights of Tennis Balls (9) Estimate of Population Mean: Observations: Point Estimate Standard Error t-score (df = 7) Margin of Error 57 57.1 57.2 57.3 57.4 57.5 57.3 57.4 57.2 57.5 57.4 57.1 57.3 57.0 Weights of Tennis Balls (g) 57.2750 0.0590 2.3646 + 0.14 57.00 57.05 57.10 57.15 57.20 57.25 57.30 57.35 57.40 57.45 57.50 Type of Inference: Confidence Interval: Confidence Interval Population Parameter Lower Bound Upper Bound Confidence Level Confidence Level: 90% 95% 100% Mean 57.1350 57.4150 95% 90 92 94 95 96 97 98 99 100 95% Confidence Interval [57.135, 57.415] Enter Confidence Level manually (between 90% and 100%) 95 57.5 57.6 Interval, Lower or Upper Bound? Number of Successes Interval O Lower O Upper