MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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1
Sample# Brand 1 Brand 2
2
1
99.11
110.65
A major retailer wants to choose between two equally-priced brands of compact fluorescent lamps. To do
this, they take a random sample of 100 lamps of each brand. The lifetimes, measured in hours, of the lamps
are shown on this sheet. To make the decision, they must first determine whether the underlying population
variances are equal. Assume lifetimes follow normal distribution. Use a significance level of 5%.
3
2
99.45
92.24
4
3
98.39
96.63
4
97.07
99.45
6
5
99.97
102.55
7
6 100.06
a) State the null and alternate hypotheses.
b) What is the value of the test statistic?
c) What is the critical value of the test?
d) What is your conclusion? Explain it in the context of the problem.
6.
109.60
8
7
98.2
96.53
9
8
98.13
104.64
10
9
107.73
88.03
11
10
95.58
96.87
12
11
96.98
96.02
13
12
100.47
97.33
38
92.23
101.57
64
102.03
99.62
14
13
101.23
105.14
39
99.87
105.21
65
99
100.96
90
101.17
100.65
15
14
100.39
99.86
40
98.7
92.84
66
101.36
99.05
91
96.65
96.33
16
15
106.07
93.81
41
97.7
99.89
67
98.75
95.72
92
100.27
89.44
17
16
98.02
92.26
42
102.67
94.24
68
99.03
90.28
93
98.99
103.91
18
17
100.26
103.67
43
100.3
96.43
69
98.75
88.87
94
103.24
103.96
19
18
102.48
93.61
44
101.76
93.64
70
94.8
110.15
95
100.29
87.99
20
19
97.88
97.28
45
100.11
97.44
71
101.26
113.99
96
93.25
98.86
21
20
102.58
102.51
46
103.05
109.93
72
99.08
97.37
97
102.86
96.47
22
21
101
106.59
47
100.82
100.20
73
103,6
102.17
98
102.65
101.32
23
22
97.01
100.90
48
99.94
101.34
74
102,56
95.82
99
102.74
103.46
24
23 103.91
98.67
49
98.89
97.41
75
95.44
104.44
100
98.78
96.70
25
24
96.23
102.64
50
95.22
109.89
76
98.26
108.21
26
25
99.84
99.76
51
99.55
107.33
77
95.05
100.28
27
26
102.49
108.11
52
102.67
95.24
78
100.65
92.43
28
29
27
97.8
101.96
53
98.43
91.33
79
99.86
91.92
28
101.1
98.36
54
101.69
102.49
80
105.21
81.47
30
29
99.51
101.93
55
100.86
106.89
81
101.26
92.58
31
30
99.49 112.25
56
98.86
103.68
82
103.88
106.49
32
31
101.63
105.35
57
99.19
103.97
83
106.71
102.46
33
32
104.85
100.95
58
95.9
93.47
84
100.07
92.72
34
33
99.69
85.00
59
101.85
94.93
85
99.3
101.97
35
34
97.68
95.50
60
96.05
101.94
86
103.74
96.85
36
35
100.31
111.24
61
103.36
98.81
87
99.6
96.92
37
36
95.29
109.34
62
102.31
103.66
88
104.24
103.56
38
37
101
99.67
63
103.15
102.03
89
100.59
87.85
39
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Transcribed Image Text:AutoSave OFF Book1 ... Page Layout Formulas Review View Acrobat O Tell me 2 Share O Comments Home Insert Draw Data Calibri (Body) - A A General H Conditional Formatting v A Insert v 12 LG Paste E Format as Table v bX Delete v I U v A v A v $ v % 9 .00 C00 20 Analyze Data Create and Share Adobe PDF В Editing E Cell Styles v H Format v T20 fx A В D F G H K M Q. R S U V X Y 1 Sample# Brand 1 Brand 2 2 1 99.11 110.65 A major retailer wants to choose between two equally-priced brands of compact fluorescent lamps. To do this, they take a random sample of 100 lamps of each brand. The lifetimes, measured in hours, of the lamps are shown on this sheet. To make the decision, they must first determine whether the underlying population variances are equal. Assume lifetimes follow normal distribution. Use a significance level of 5%. 3 2 99.45 92.24 4 3 98.39 96.63 4 97.07 99.45 6 5 99.97 102.55 7 6 100.06 a) State the null and alternate hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test? d) What is your conclusion? Explain it in the context of the problem. 6. 109.60 8 7 98.2 96.53 9 8 98.13 104.64 10 9 107.73 88.03 11 10 95.58 96.87 12 11 96.98 96.02 13 12 100.47 97.33 38 92.23 101.57 64 102.03 99.62 14 13 101.23 105.14 39 99.87 105.21 65 99 100.96 90 101.17 100.65 15 14 100.39 99.86 40 98.7 92.84 66 101.36 99.05 91 96.65 96.33 16 15 106.07 93.81 41 97.7 99.89 67 98.75 95.72 92 100.27 89.44 17 16 98.02 92.26 42 102.67 94.24 68 99.03 90.28 93 98.99 103.91 18 17 100.26 103.67 43 100.3 96.43 69 98.75 88.87 94 103.24 103.96 19 18 102.48 93.61 44 101.76 93.64 70 94.8 110.15 95 100.29 87.99 20 19 97.88 97.28 45 100.11 97.44 71 101.26 113.99 96 93.25 98.86 21 20 102.58 102.51 46 103.05 109.93 72 99.08 97.37 97 102.86 96.47 22 21 101 106.59 47 100.82 100.20 73 103,6 102.17 98 102.65 101.32 23 22 97.01 100.90 48 99.94 101.34 74 102,56 95.82 99 102.74 103.46 24 23 103.91 98.67 49 98.89 97.41 75 95.44 104.44 100 98.78 96.70 25 24 96.23 102.64 50 95.22 109.89 76 98.26 108.21 26 25 99.84 99.76 51 99.55 107.33 77 95.05 100.28 27 26 102.49 108.11 52 102.67 95.24 78 100.65 92.43 28 29 27 97.8 101.96 53 98.43 91.33 79 99.86 91.92 28 101.1 98.36 54 101.69 102.49 80 105.21 81.47 30 29 99.51 101.93 55 100.86 106.89 81 101.26 92.58 31 30 99.49 112.25 56 98.86 103.68 82 103.88 106.49 32 31 101.63 105.35 57 99.19 103.97 83 106.71 102.46 33 32 104.85 100.95 58 95.9 93.47 84 100.07 92.72 34 33 99.69 85.00 59 101.85 94.93 85 99.3 101.97 35 34 97.68 95.50 60 96.05 101.94 86 103.74 96.85 36 35 100.31 111.24 61 103.36 98.81 87 99.6 96.92 37 36 95.29 109.34 62 102.31 103.66 88 104.24 103.56 38 37 101 99.67 63 103.15 102.03 89 100.59 87.85 39 Sheet1 Ready 90%
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