Item	Gap width (mm)
1	3.253
2	3.254
3	3.248
4	3.247
5	3.249
6	3.249
7	3.250
8	3.249
9	3.246
10	3.249
11	3.246
12	3.253
13	3.248
14	3.249
15	3.250
16	3.248
17	3.249
18	3.248
19	3.245
20	3.252
21	3.249
22	3.248
23	3.249
24	3.248
25	3.248
26	3.247
27	3.248
28	3.251
29	3.249
30	3.248
31	3.250
32	3.248
33	3.250
34	3.251
35	3.249
36	3.252
37	3.246
38	3.251
39	3.252
40	3.248

Setup for Problems 3 and 4: A critical quality characteristic for purchased part is the width of a gap where another part is inserted. If the gap is too small, the mating part wont fit; if its too large, there will be too much play, resulting in excessive wear. Specifications for the gap width are 3.250.005 mm. These parts are purchased in large lots. From a recent lot, a sample of 40 parts was drawn at random and the gap width determined to the nearest .001 mm. The data look like this (abbreviated table shown)

3. Using the gap width data, develop a histogram of gap width. Comment on the distribution.

4. Using the gap width data, and assuming a normal distribution, estimate the percentage of parts in the population that would fall outside the specification limits.