A manufacturer of widgets wants to test a new widget-producing machi if it can make an average of 20 widgets per second before deciding to in machine. The standard to reject the new machine is if it makes an aver: 20 widgets per second. Here are date from a small random sample: 156 16.2 22.5 20.5 16.4 19.4 19.6 17.9 12.7 14.9 Assuming the population follows a normal distribution, is there evidence machine should be rejected at the 0.01 significance level? State the hypotheses, check the conditions, calculate the test statistic f and make a conclusion in a complete sentence related to the scenario