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Interval Estimation, Hypothesis Testing
and Type II Error
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Elementary Statistics with R
Page 3
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Interval Estimation
Page 4
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Interval Estimation
Page 5
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Interval Estimation (2)
Page 6
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Point Estimate of Population Mean
Page 7
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Point Estimate of Population Mean (2)
Page 8
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Interval Estimate of Population Mean
with Known Variance
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Interval Estimate of Population Mean
with Known Variance (2)
Page 10
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Interval Estimate of Population Mean
with Known Variance (3)
Page 11
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Interval Estimate of Population Mean
with Known Variance (4)
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Interval Estimate of Population Mean
with Known Variance (5)
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Interval Estimate of Population Mean
with Unknown Variance
Page 14
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Interval Estimate of Population Mean
with Unknown Variance (2)
Page 15
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Interval Estimate of Population Mean
with Unknown Variance (3)
Page 16
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Interval Estimate of Population Mean
with Unknown Variance (4)
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Sampling Size of Population Mean
Page 18
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Sampling Size of Population Mean (2)
Page 19
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Point Estimate of Population
Proportion
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Point Estimate of Population
Proportion (2)
Page 21
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Interval Estimate of Population
Proportion
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Interval Estimate of Population
Proportion (2)
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Interval Estimate of Population
Proportion (3)
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Interval Estimate of Population
Proportion (4)
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Sampling Size of Population
Proportion
Page 26
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Sampling Size of Population
Proportion (2)
Page 27
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Hypothesis Testing
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Hypothesis Testing
Page 29
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Lower Tail Test of Population Mean
with Known Variance
Page 30
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Lower Tail Test of Population Mean
with Known Variance (2)
Page 31
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Lower Tail Test of Population Mean
with Known Variance (3)
Page 32
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Lower Tail Test of Population Mean
with Known Variance (4)
Page 33
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Upper Tail Test of Population Mean
with Known Variance
Page 34
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Upper Tail Test of Population Mean
with Known Variance (2)
Page 35
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Upper Tail Test of Population Mean
with Known Variance (3)
Page 36
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Upper Tail Test of Population Mean
with Known Variance (4)
Page 37
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Two-Tailed Test of Population Mean
with Known Variance
Page 38
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Two-Tailed Test of Population Mean
with Known Variance (2)
Page 39
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Two-Tailed Test of Population Mean
with Known Variance (3)
Page 40
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Two-Tailed Test of Population Mean
with Known Variance (4)
Page 41
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Lower Tail Test of Population Mean
with Unknown Variance
Page 42
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Lower Tail Test of Population Mean
with Unknown Variance (2)
Page 43
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Lower Tail Test of Population Mean
with Unknown Variance (3)
Page 44
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Lower Tail Test of Population Mean
with Unknown Variance (4)
Page 45
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Upper Tail Test of Population Mean
with Unknown Variance
Page 46
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Upper Tail Test of Population Mean
with Unknown Variance (2)
Page 47
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Upper Tail Test of Population Mean
with Unknown Variance (3)
Page 48
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Upper Tail Test of Population Mean
with Unknown Variance (3)
Page 49
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Two-Tailed Test of Population Mean
with Unknown Variance
Page 50
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Two-Tailed Test of Population Mean
with Unknown Variance (2)
Page 51
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Two-Tailed Test of Population Mean
with Unknown Variance (3)
Page 52
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Two-Tailed Test of Population Mean
with Unknown Variance (4)
Page 53
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Lower Tail Test of Population
Proportion
Page 54
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Lower Tail Test of Population
Proportion (2)
Page 55
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Lower Tail Test of Population
Proportion (3)
Page 56
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Lower Tail Test of Population
Proportion (4)
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Lower Tail Test of Population
Proportion (5)
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Lower Tail Test of Population
Proportion (5)
Page 59
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Upper Tail Test of Population
Proportion
Page 60
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Upper Tail Test of Population
Proportion (2)
Page 61
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Upper Tail Test of Population
Proportion (3)
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Upper Tail Test of Population
Proportion (4)
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Upper Tail Test of Population
Proportion (5)
Page 64
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Upper Tail Test of Population
Proportion (5)
Page 65
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Two-Tailed Test of Population
Proportion
Page 66
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Two-Tailed Test of Population
Proportion (2)
Page 67
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Two-Tailed Test of Population
Proportion (3)
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Two-Tailed Test of Population
Proportion (4)
Page 69
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Two-Tailed Test of Population
Proportion (5)
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Type II Error
Page 71
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Type II Error
Page 72
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Type II Error in Lower Tail Test of
Population Mean with Known Variance
Page 73
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Type II Error in Lower Tail Test of
Population Mean with
Known Variance (2)
Page 74
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Type II Error in Lower Tail Test of
Population Mean with
Known Variance (3)
Page 75
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Type II Error in Lower Tail Test of
Population Mean with
Known Variance (4)
Page 76
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Type II Error in Upper Tail Test of
Population Mean with
Known Variance
Page 77
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Type II Error in Upper Tail Test of
Population Mean with
Known Variance (2)
Page 78
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Type II Error in Upper Tail Test of
Population Mean with
Known Variance (3)
Page 79
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Type II Error in Upper Tail Test of
Population Mean with
Known Variance (4)
Page 80
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Type II Error in Two-Tailed Test of
Population Mean with
Known Variance
Page 81
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Type II Error in Two-Tailed Test of
Population Mean with
Known Variance (2)
Page 82
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Type II Error in Two-Tailed Test of
Population Mean with
Known Variance (3)
Page 83
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Type II Error in Two-Tailed Test of
Population Mean with
Known Variance (4)
Page 84
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Type II Error in Lower Tail Test of
Population Mean with
Unknown Variance
Page 85
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Type II Error in Lower Tail Test of
Population Mean with
Unknown Variance (2)
Page 86
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Type II Error in Lower Tail Test of
Population Mean with
Unknown Variance (3)
Page 87
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Type II Error in Lower Tail Test of
Population Mean with
Unknown Variance (4)
Page 88
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Type II Error in Upper Tail Test of
Population Mean with
Unknown Variance
Page 89
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Type II Error in Upper Tail Test of
Population Mean with
Unknown Variance (2)
Page 90
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Type II Error in Upper Tail Test of
Population Mean with
Unknown Variance (3)
Page 91
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Type II Error in Upper Tail Test of
Population Mean with
Unknown Variance (4)
Page 92
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Type II Error in Two-Tailed Test of
Population Mean with
Unknown Variance
Page 93
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Type II Error in Two-Tailed Test of
Population Mean with
Unknown Variance (2)
Page 94
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Type II Error in Two-Tailed Test of
Population Mean with
Unknown Variance (2)
Page 95
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Type II Error in Two-Tailed Test of
Population Mean with
Unknown Variance (3)
Page 96
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Acknowlegments
Some parts of the material in this presentation is
taken from http://www.r-tutor.com/
Deo materijala je preuzet sa sajta
http://www.e-statistika.rs