13. A certain brand of apple juice is supposed to have 64 ounces in each bottle. Because the penalty for under lling bottles is severe, the target mean amount ofjuice is 64.1 ounces. However, the filling machine is not precise and the exact amount varies from bottle to bottle following a normal distribution. A quality control manager wishes to verify that the machine is not over or under-filling the bottles so she randomly selects 19 bottles and measures the volume of their contents. The following data was obtained: 64.3 64.2 64.1 63.9 64.2 63.8 63.9 64 63.9 64.1 63.8 63.7 64.1 63.6 63.9 64.1 63.8 63.7 63.6 Should the assembly line be shut down so that the machine can be recalibrated? Use a 0.01 significance. i. {2 pts) State the null and alternate hypothesis using correct notation: ii. {3 pts) Report the test statistic and the p-value to 4 decimal places. Calculator function: Input values: iii. (3 pts} State the conclusion addressing the original claim