only do part C and problem 3.21, show work if possible. thank you

1 3.19. The City Square Grocery and Meat Market has a large meat locker in which a constant temperature of approximately 40' F should be maintained. The market manager has decided to constrict an R-chart to monitor the temperature inside the locker. The manager had one of the market employees take sample temperature reading randomly five times each day for 20 days in order to gather data for the control chart. Following are the temperature sample observations: Samples Temperature (1) 453 48.1 42.5 43.1 39.6 2 41.2 40.5 37.8 36.5 423 3 49.1 413 34.5 33 2 367 4 423 44.1 395 37.7 38.6 5 352 38.1 405 39.1 42.3 0 40.6 417 386 435 446 7 332 38.6415 40.7 13.1 B 41.8 40.0 41.6 10.7393 19.441.640.0 40.0.493 447 36.5 373 353411 426 435 354 36.1 38.3 405 404 39.1 372 41.6 13 453 42,0 431 417 99.5 14 36.4 37.5 362 38.9 0.1 15 405 343 36.2 35+ 368 16 395 38.2 37.6 34.1 38.7 19 37.6 40.6 403 39.7 41.3 41.0 343 39.1 452 43-7 19 40,9 423 376 35 4 34.8 37.6 30.2 393 412 37.6 10 11 12 8.5 3 GB 18 20 a. Construct an R-chart based on these data using 3o limits, and plot the 20 sample range values. b. Does it appear that the temperature is in control according to the criteria established by management? e. Construct an x-chart in conjunction with the R-chart, plot the sample observations, and, using both x-and R-charts, comment on the process control. 2.20. Ise pattern tests to determine if the sample observations used in the R-chart in Problem 3.1(a) reflect any nonrandom patterns. 3.21. Use pattern tests to determine if the sample observations used in the x-chart in Problem 3-19(c) reflect any nonrandom patterns. 3.22. The Oceanside Apparel Company manufactures expensive, polo-style men's and women's short-sleeve knit shirts at its plant in Ja that material be cut into large patterned squares by operators, which are then sewn together at another stage of the process. If the squar shirt will be either too large or too small. In order to monitor the cutting process, management takes a sample of four squares of clothes