Question

2. The following measurements (in inches) have been taken of 22 steel plates that are nominally 2 inches thick.

2.19 2.13 2.20 2.23 2.23 1.87 1.87 1.98 2.14 2.20 2.04

1.76 1.92 2.22 1.91 1.87 1.82 2.25 2.09 1.87 2.14 1.81

a. Create a Box Plot of the Results

b. Using the normal distribution, and assuming the data are representative of the process, what is the probability of producing a plate of 1.5 inches or less?

Please show steps.

Answer 1

Given data in ascending order

1.76
1.81
1.82
1.87
1.87
1.87
1.87
1.91
1.92
1.98
2.04
2.09
2.13
2.14
2.14
2.19
2.2
2.2
2.22
2.23
2.23
2.25

a.)Minimum=1.76

First Quartile=Median of the lower half of the data=1.87

Median=2.065

Third Quartile=Median of the Upper half of the data=2.2

Maximum=2.25

b.)