When it is operating correctly, a machine for manufacturing tennis balls produces ba with a mean weight of 57.6 grams. The last 61 randomly selected tennis balls manufactured had a sample weight of 57.3 grams with a sample standard deviation of 0.5 grams. Test the claim that the population weight is significantly different from the reported 57.6 grams. Assume an α=.01. In answering this question, use the six steps below (copy and paste the steps in the space below, and fill in your answers to each question): 1. State the null and research hypotheses 2. State the level of significance, alpha (α) 3. Select a Sampling Distribution and State the test statistic 4. State the rejection region (critical test statistic) 5. Calculate the research test statistic and see if it falls in the rejection region 6. State your conclusion in terms of the problem