A B C D E F G 1 Weight 14.99992 15.00025 15.00127 15.00025 15.0003 14.99977 15.0003 14.9997 15.00049 P O 14.99949 2I am the lab manager, and I want to know if the scale is working within a proper margin of error. I would like to be confident the true weight (15 g) is showing up 99% of the the time. Together, we devise an experiment to test the scale. In the data file, there are 10 recordings of the weight. 1. Set up the hypothesis test (in symbolic notation) to test whether the average weight is 15 grams. 2. Use technology to find the 99% confidence interval. 3. Based on the data, is my scale reading the weight within the margin I want? Hint: use the hypothesis test results to inform your decision. Explain. Considering the results, is this result statistically significant, practically significant, both, or neither? " = 0.01 What if I only needed to be accurate to 2 decimal places instead of 5, (15.00, instead of 15.00000). Does that change your answer to the question above