Refer to the Journal of Engineering for Industry (May 1993) study of deep hole drilling described in Exercise 1.26 (p. 20). An analysis of drill chip congestion was performed using data generated via computer simulation. The simulated distribution of the length (in millimeters) of 50 drill chips is displayed in a frequency histogram, shown below.

Data from Exercise 1.26

”Deep hole” drilling is a family of drilling processes used when the ratio of hole depth to hole diameter exceeds 10. Successful deep hole drilling depends on the satisfactory discharge of the drill chip. An experiment was conducted to investigate the performance of deep hole drilling when chip congestion exists (Journal of Engineering for Industry, May 1993). Some important variables in the drilling process are described here. Identifythe data type for each variable.

a. Convert the frequency histogram into a relative frequency histogram.

b. Based on the graph in part a, would you expect to observe a drill chip with a length of at least 190 mm? Explain.

Transcribed Image Text:

Frequency 16 14 12 10 7 tudine 4 3 3 1 40 60 10 4 2 0 T 0 20 80 100 120 Chip length (mm) 140 3 160 3 180 200