Question
A Lightbulb manufacturer wants to know whether it can claim that their lightbulbs typically last more than 1000 burning hours. To figure out, they conduct
A Lightbulb manufacturer wants to know whether it can claim that their lightbulbs typically
last more than 1000 burning hours. To figure out, they conduct a scientific study. Find the
data for the problem in the first worksheet named LightbulbLife of the data file QMB3200-
Homework#4Data.xlsx. It gives the data on the lifetime in hours of a sample of 100
lightbulbs. Can this lightbulb manufacturer claim at a significance level of 5% that its
lightbulbs typically last more than 1000 hours? What about at 1%?
a. Identify the appropriate 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.
Lightbulb
Lifetime
1
840.08
2
960.00
3
953.38
4
981.14
5
938.66
6
1051.14
7
907.84
8
1000.10
9
1073.20
10
1150.66
11
1010.57
12
791.59
13
896.24
14
955.35
15
937.94
16
1113.18
17
1108.81
18
773.62
19
1038.43
20
1126.55
21
950.23
22
1038.19
23
1136.67
24
1031.55
25
1074.28
26
976.90
27
1046.30
28
986.54
29
1014.83
30
920.73
31
1083.41
32
873.59
33
902.92
34
1049.17
35
998.58
36
1010.89
37
1028.71
38
1049.92
39
1080.95
40
1026.41
41
958.95
42
985.17
43
988.49
44
1012.99
45
1070.82
46
1063.13
47
948.57
48
1156.42
49
973.79
50
845.85
51
1025.35
52
931.60
53
931.69
54
1063.00
55
971.95
56
689.52
57
999.63
58
966.65
59
1022.77
60
1041.44
61
987.74
62
887.28
63
975.27
64
904.52
65
937.41
66
964.32
67
1047.56
68
1109.78
69
1053.21
70
1091.02
71
1114.46
72
967.33
73
1131.02
74
920.96
75
983.79
76
972.49
77
1001.50
78
811.08
79
1035.06
80
1001.30
81
970.45
82
1111.68
83
955.20
84
920.79
85
941.75
86
937.89
87
1024.13
88
952.33
89
879.74
90
866.77
91
1080.00
92
1002.06
93
1038.74
94
1017.37
95
988.42
96
893.74
97
1022.92
98
1081.83
99
1154.07
100
827.85
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Income Tax Fundamentals 2013
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
31st Edition
1111972516, 978-1285586618, 1285586611, 978-1285613109, 978-1111972516
