A machine makes ball bearings for use in other industrial machinery. The mean diameter of a particular type of ball bearing is 50 millimeters. Based on a new vendor for their raw materials, the Quality Assurance manager is worried that the current production runs will be outside of specification. To test this, 100 ball bearings (n = 100) were sampled. The mean of the sample is 51.2 millimeters and the SAMPLE standard deviation is 1.223 millimeters. Decide if the sample data supports the claim that the mean diameter is 50 millimeters. Use a 0.02 level of significance. State the null and alternative hypotheses. State the decision rule. Based on the sample data, state your decision in terms of the null hypothesis (reject or not reject). You may use either method, comparing the test statistic to the critical value, or the p-value approach.