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