Question
manufacturer of raisin bran cereal claims that each box of cereal has more than 200 grams of raisins. The firm selects a random sample of
manufacturer of raisin bran cereal claims that each box of cereal has more than 200 grams
of raisins. The firm selects a random sample of 64 boxes and records the amount of raisin (in
grams) in each box to test their claim. The data is provided on the second worksheet named
Raisins in the data file QMB3200-Homework#4Data.xlsx. Is there statistical evidence in
support for the manufacturer's claim at a significance level of 5%? What about at 1%?
a. Identify the null and the alternate hypotheses for this study.
b. What would be the consequences of a Type-I error?
c. What would be the consequences of a Type-II error?
d. Test the hypothesis using the p-value approach.
e. Test the hypothesis using the critical-value approach.
f. Clearly state your conclusion based on hypothesis test decisions.
Box
Amount
1
140
2
310
3
276
4
174
5
136
6
272
7
376
8
324
9
252
10
84
11
176
12
250
13
177
14
89
15
254
16
185
17
186
18
94
19
94
20
221
21
211
22
308
23
169
24
217
25
363
26
123
27
259
28
110
29
102
30
134
31
295
32
171
33
94
34
331
35
218
36
158
37
213
38
244
39
166
40
216
41
156
42
360
43
198
44
217
45
246
46
256
47
258
48
374
49
338
50
276
51
212
52
216
53
168
54
376
55
245
56
252
57
373
58
270
59
245
60
108
61
190
62
208
63
231
64
206
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