answer these questions showing the steps

1. A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random sample of 1 1 containers is selected, and the net contents (oz) are as follows: 12.03, 12.01. 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.06, 11.99, and 12.02. a) Suppose that the manufacturer wants to be sure that the mean net contents exceeds 12 oz. What conclusions can be drawn from the data (use a - 0.01)? b) Construct a 95% two-sided confidence interval on the mean fill volume. (10 pts) 2. Use the following measured batch data of a product to conduct control charts (Moving Range) for individual observations (measurements, mm). Calculate the chart for measurement and the chart for moving range (L - 3.0 in the Shewhart control chart). Have your conclusion on the process. (10 pts) batch ohs batch obs 0,80 O 0.81 0.91 10 0.82 0.82 1 1 0.83 0.82 12 0.89 0,86 13 0.83 0.83 14 0.84 0.81 15 0.82 0.80 16 0.81