The Heavenly Hula Hoop Company makes hoops in various sizes. You've been hired as their Chief Quality Control officer and your first assignment is to assess and improve the quality of their 100-cm (diameter) hula-hoop.You make observations of 50 hoops, selected at random and measure their diameters to the hundredth of a centimeter (2 decimal places). The data you have collected is in the following table:

NOTE: See assignment attachments for downloadable excel document of the collected data. This will allow you the opportunity to complete calculations in a spreadsheet.

Observation	Hula-Hoop Diameter (cms)
1	100.02
2	100.19
3	100.65
4	100.33
5	99.60
6	100.27
7	100.98
8	99.28
9	100.93
10	100.18
11	99.15
12	99.21
13	99.93
14	100.76
15	99.95
16	99.99
17	102.31
18	99.23
19	99.42
20	100.58
21	99.61
22	99.07
23	100.04
24	99.02
25	100.49
26	99.81
27	100.05
28	100.22
29	99.95
30	100.66
31	100.36
32	100.78
33	99.26
34	100.93
35	100.87
36	99.18
37	100.57
38	99.65
39	99.43
40	100.95
41	99.93
42	99.49
43	100.64
44	99.42
45	99.98
46	99.53
47	99.17
48	100.07
49	99.02
50	99.87

Using the data in the table above, please answer the following questions.

Questions

1. What is the mean (average) diameter of this data set regarding the production of hula-hoops? (round to two decimal places)
2. What is the standard deviation of the data set?
3. What is the Upper Control Limit?
4. What is the Lower Control Limit?
5. Is this process "in control"?
   1. Why or why not?