Introduction to Mathcad 15 - Problem 6.6 - Quality Control in a Bottling Plant II

6.6 Quality Control in a Bottling Plant,I The manager of another bottling plant wants to keep profits as high as possible while keeping customer complaints low.The volume of each bottle is automatically, and after every 10 bottles the volumes are recorded. She wants each bottle to contain at least 200 ml, but not more than 204 ml, the ume to be less that 202 ml,and the standard deviation of the 10 measurements to be less than 1.5 ml. average vol- (a) Write a flowchart of a program that will receive a vector of 10 volume values use a for loop to check the individual volumes of each bottle use Mathcad functions to determine the average volume and standard deviation for the 10 values, and . return a text string that indicates whether the bottles were or were not filled correctly. If they were not, have the program indicate (with a text string) which of the criteria is/are not being met. (b) Write a Mathcad program that implements your flowchart. Test the pro- gram with the following values: 201.5 202.3 203.4 202.1 bottles := 200.51 1 mean(bottles) = 201.85 stdev(bottles)=0.867 201.1 202.0 201.4 201.1 (c) Create a new set of test data that will allow you to demonstrate that your for loop is working correctly to check the volume of each bottle. (d) Use your program to see if the bottles represented by the following val- ues were filled correctly 201.3 201.7 203.1 201.8 203.5 moreBottles := 203.3 202.1 201.0 201.6 202.1 (e) How would your program have to be modified if the sample size was in- creased from 10 bottles to 100