Question: Five samples of n = 5 boxes of snacks were collected from a machine that fills boxes of snacks. We would like to construct an chart to monitor the performance of the machine. To develop the chart, the weight of five consecutive boxes of snacks, five times each day, are sampled. Based on the following five samples,

Sample Weight of snack boxes Total

1 23.95, 23.98, 24.11, 23.90, 24.10 120.04

2 24.01, 24.07, 23.93, 24.09, 23.98 120.08

3 24.14, 24.07, 24.08, 23.98, 24.02 120.29

4 23.91, 24.04, 23.89, 24.01, 23.95 119.80

5 24.03, 24.04, 24.01, 23.98, 24.10 120.16

? What is the number of samples and what is the sample size?

o Which number is used to find a control chart constant such as A₂.

? Calculate the centerline for constructing an x-bar chart.

? Calculate the upper/lower control limits of the x-bar chart.

? Graph the x-bar chart.

? Calculate the centerline for constructing an R chart.

? Calculate the upper and lower control limits of R chart.

? Graph the R-chart.

? Using Excel re-answer parts 2, 3, 4, 5 and 6 above.

? Based on both x-bar and R-charts is the process in control? Why or why not?