b) The number of component B-2000 produced during the week ended 15th February 2009 by the 80 operatives employed in the factory of Mutumbu Limited were as follows. Every worker is expected to produce 50 components per week. 40 22 50 61 30 58 51 75 58 70 93 59 49 55 63 38 60 57 52 77 48 73 28 31 21 76 32 57 53 25 42 63 39 82 54 33 45 65 26 65 87 43 51 66 34 78 55 44 27 74 67 45 30 57 | 97 81 43 28 99 47 79 56 68 35 87 57 23 41 37 62 53 83 95 54 64 48 22 53 89 46 Required: Using appropriate measures of central tendency and measures of dispersion, describe the performance of the operatives. Give reasons for the selected measures. ii. i. Interpret the measures of central tendency and variation within the context of this problem. Why should the company producing B-2000 components be concerned about measures of central tendency and measures of variation. What proportions of operatives are not meeting production requirements per week? iv. ii. Investigate whether normality characterisitics may be safely used in further analysis of this data.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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b) The number of component B-2000 produced during the week ended 15™ February 2009
by the 80 operatives employed in the factory of Mutumbu Limited were as follows. Every
worker is expected to produce 50 components per week.
40 22
70 93
57 23 41
50
61
30 58 51 75
58
59 49 55
63 38
87
60
57
52 77
37
62
53
83 48
73
28 31
21
76
32
57
53
25
42
63
95
54
64
39
82
54
33
45
48
22
53 65 26 65
87
43
51
66
34
78
55 44 27 74
46 67 | 45 30 57
56
68
89
97
81
43
28
99 47
79
35
Required:
Using appropriate measures of central tendency and measures of dispersion, describe
the performance of the operatives. Give reasons for the selected measures.
ii.
i.
Interpret the measures of central tendency and variation within the context of this
problem. Why should the company producing B-2000 components be concerned about
measures of central tendency and measures of variation.
What proportions of operatives are not meeting production requirements per week?
iv.
ii.
Investigate whether normality characterisitics may be safely used in further analysis of
this data.
Transcribed Image Text:b) The number of component B-2000 produced during the week ended 15™ February 2009 by the 80 operatives employed in the factory of Mutumbu Limited were as follows. Every worker is expected to produce 50 components per week. 40 22 70 93 57 23 41 50 61 30 58 51 75 58 59 49 55 63 38 87 60 57 52 77 37 62 53 83 48 73 28 31 21 76 32 57 53 25 42 63 95 54 64 39 82 54 33 45 48 22 53 65 26 65 87 43 51 66 34 78 55 44 27 74 46 67 | 45 30 57 56 68 89 97 81 43 28 99 47 79 35 Required: Using appropriate measures of central tendency and measures of dispersion, describe the performance of the operatives. Give reasons for the selected measures. ii. i. Interpret the measures of central tendency and variation within the context of this problem. Why should the company producing B-2000 components be concerned about measures of central tendency and measures of variation. What proportions of operatives are not meeting production requirements per week? iv. ii. Investigate whether normality characterisitics may be safely used in further analysis of this data.
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