Question
Data has been gathered with regard to one of the production processes at Schnick, an Italian golf club manufacturer. The process involves the making of
Data has been gathered with regard to one of the production processes at Schnick, an Italian golf club manufacturer. The process involves the making of clubs using graphite. On a production line, a measurement is taken of the weight of each club as it comes off the line. A sample was taken of 200 clubs with the following information available:
1. draw a histogram using the 8 bin method and the FREQUENCY function.
2. answer these questions about the distribution
a. describe the symmetry of the distribution.
b. how many modes in the distribution.
c. what is the mean and standard deviation of the distribution?
d. what percent of the values are
-within 1 st dev of the mean?
-within 2 st devs of the mean?
-within 3 st devs of the mean?
e. what is the p value for a Chi-squared?test for Normality of the data.
f. Is the process in control?(Alpha = .05)
Club Weight in grams
1 118.69
2 115.72
3 114.32
4 116.95
5 117.92
6 116.85
7 116.79
8 117.63
9 120.46
10 114.27
11 114.73
12 113.46
13 118.86
14 115.56
15 114.51
16 114.08
17 114.00
18 112.07
19 117.70
20 137.04
21 119.77
22 117.25
23 113.73
24 117.05
25 115.99
26 114.36
27 110.98
28 121.38
29 117.57
30 116.50
31 118.39
32 114.76
33 114.38
34 113.46
35 117.39
36 119.76
37 115.45
38 115.41
39 112.72
40 117.01
41 111.14
42 118.39
43 117.12
44 118.54
45 110.75
46 113.03
47 118.65
48 111.44
49 114.38
50 115.95
51 115.06
52 119.05
53 113.46
54 114.62
55 116.19
56 116.24
57 114.84
58 119.33
59 114.21
60 113.47
61 113.91
62 116.54
63 115.31
64 115.52
65 116.27
66 111.33
67 118.18
68 115.64
69 115.43
70 117.58
71 114.91
72 114.87
73 115.72
74 118.04
75 115.85
76 112.41
77 117.34
78 117.42
79 115.85
80 119.73
81 116.23
82 112.33
83 119.38
84 118.82
85 117.54
86 112.49
87 110.28
88 114.57
89 113.27
90 114.38
91 121.42
92 114.54
93 115.82
94 116.40
95 116.99
96 113.98
97 119.82
98 119.75
99 114.02
100 114.65
101 116.29
102 119.46
103 113.57
104 119.36
105 115.06
106 117.54
107 113.78
108 116.48
109 116.82
110 114.24
111 114.96
112 117.18
113 116.45
114 117.94
115 118.42
116 118.25
117 115.14
118 119.68
119 116.90
120 118.10
121 115.29
122 113.47
123 117.32
124 113.74
125 117.00
126 114.06
127 115.28
128 117.15
129 113.35
130 116.08
131 116.60
132 118.69
133 114.64
134 119.04
135 116.32
136 112.22
137 118.88
138 115.24
139 117.80
140 116.50
141 115.53
142 118.03
143 117.94
144 115.04
145 114.91
146 115.80
147 116.57
148 117.18
149 112.16
150 113.04
151 119.64
152 116.67
153 116.89
154 117.39
155 117.93
156 118.49
157 116.97
158 121.66
159 117.46
160 114.60
161 118.09
162 111.27
163 120.01
164 112.03
165 116.41
166 114.56
167 114.10
168 115.75
169 118.32
170 119.88
171 113.09
172 116.81
173 114.74
174 116.76
175 121.72
176 117.07
177 112.26
178 113.35
179 119.10
180 114.81
181 117.19
182 112.30
183 117.94
184 111.20
185 120.67
186 111.37
187 115.19
188 114.95
189 116.55
190 119.61
191 111.91
192 115.21
193 115.57
194 116.87
195 110.76
196 116.24
197 115.19
198 115.89
199 119.29
200 116.09
201 118.07
202 117.56
203 111.53
204 116.63
205 117.54
206 116.07
207 116.20
208 117.38
209 115.60
210 116.03
211 115.19
212 123.07
213 116.77
214 116.81
215 115.31
216 118.20
217 114.37
218 115.60
219 116.33
220 117.93
221 118.63
222 116.78
223 115.15
224 113.93
225 118.65
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