2. Consider the following data on the hours of burnout for a sample of 59 lightbulbs 68 70 86 88 62 61 79 92 116 103 68 63 88 81 62 74 62 94 71 70 58 98 98 65 73 71 70 97 94 59 57 90 71 101 78 43 59 67 61 71 96 75 64 76 72 77 74 65 82 86 66 86 96 107 57 97 86 59 83 Describe the shape of the data using coefficient measures based on the moments
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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2. Consider the following data on the hours of burnout for a sample of 59 lightbulbs
68
70
86
88
62
61
79
92
116
103
68
63
88
81
62
74
62
94
71
70
58
98
98
65
73
71
70
97
94
59
57
90
71
101
78
43
59
67
61
71
96
75
64
76
72
77
74
65
82
86
66
86
96
107
57
97
86
59
83
Describe the shape of the data using coefficient measures based on the moments
3. Ten competitors in a beauty contest are ranked by three judges as follows:
Competitors
Judges
6.
7
8
9.
10
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