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How many occurrences of p-values less than 0.05 did you have? I had 1 occurrence of p- value less than 0.05. What Type Error (I or II) do these represent?

01 / 10 / 2021 Assignment

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One-Sample Z: C1,
C2, C3, C4, C5, C6, C7, C8, …

Test of ? = 100 vs ? 100

The assumed standard deviation = 15

Variable
N Mean StDev
SE Mean 95% CI Z P

C1
20 101.87 17.10
3.35 ( 95.30, 108.44) 0.56
0.577

C2
20 95.18 15.82
3.35 ( 88.60, 101.75) -1.44
0.150

C3
20 96.43 17.69
3.35 ( 89.85, 103.00) -1.07
0.287

C4
20 97.65 14.71
3.35 ( 91.07, 104.22) -0.70
0.483

C5
20 99.23 9.01
3.35 ( 92.65, 105.80) -0.23
0.818

C6
20 105.08 17.16
3.35 ( 98.51, 111.66) 1.51
0.130

C7
20 103.89 14.41
3.35 ( 97.32, 110.47) 1.16
0.246

C8
20 95.56 10.15
3.35 ( 88.98, 102.13) -1.32
0.185

C9
20 94.03 14.36 3.35
( 87.46, 100.61) -1.78 0.075

C10
20 103.56 15.25
3.35 ( 96.98, 110.13) 1.06
0.289

C11
20 98.36 18.29
3.35 ( 91.79, 104.94) -0.49
0.626

C12
20 102.69 12.01
3.35 ( 96.12, 109.26) 0.80
0.423

C13
20 96.47
14.54 3.35 ( 89.89, 103.04) -1.05
0.292

C14
20 102.46 13.84
3.35 ( 95.89, 109.04) 0.73
0.463

C15
20 95.07 16.60
3.35 ( 88.50, 101.65) -1.47
0.142

C16
20 97.06 14.10
3.35 ( 90.49, 103.63) -0.88
0.381

C17
20 103.34 11.83
3.35 ( 96.77, 109.91) 1.00
0.319

C18
20 102.53 12.11
3.35 ( 95.96, 109.10) 0.75
0.451

C19
20 102.54 18.93
3.35 ( 95.97, 109.12) 0.76
0.449

C20
20 95.41 12.07
3.35 ( 88.84, 101.99) -1.37
0.171

C21
20 96.76 13.76
3.35 ( 90.18, 103.33) -0.97
0.333

C22
20 98.94 16.45
3.35 ( 92.36, 105.51) -0.32
0.751

C23
20 95.33 15.55
3.35 ( 88.75, 101.90) -1.39
0.164

C24
20 96.14 17.14
3.35 ( 89.57, 102.72) -1.15
0.250

C25
20 100.86 11.96
3.35 ( 94.28, 107.43) 0.26
0.799

C26
20 95.05 12.84
3.35 ( 88.47, 101.62) -1.48
0.140

C27
20 97.93 18.87
3.35 ( 91.35, 104.50) -0.62
0.537

C28
20 99.79 13.51
3.35 ( 93.22, 106.37) -0.06
0.951

C29
20 98.92 17.40
3.35 ( 92.34, 105.49) -0.32
0.747

C30
20 96.82 14.52
3.35 ( 90.25, 103.39) -0.95
0.343

C31
20 107.53 14.73
3.35 (100.96, 114.10) 2.24
0.025#

C32
20 105.72 12.30
3.35 ( 99.15, 112.29) 1.71
0.088

C33
20 100.87 18.65
3.35 ( 94.30, 107.44) 0.26
0.795

C34
20 102.70 17.59
3.35 ( 96.12, 109.27) 0.80
0.421

C35
20 103.46 15.67
3.35 ( 96.89, 110.04) 1.03
0.302

C36
20 97.02 13.21
3.35 ( 90.45, 103.59) -0.89
0.374

C37
20 100.13 17.95
3.35 ( 93.56, 106.71) 0.04
0.968

C38
20 99.49 13.27
3.35 ( 92.91, 106.06) -0.15
0.878

C39
20 101.57 14.74
3.35 ( 95.00, 108.15) 0.47
0.639

C40
20 101.12 9.34
3.35 ( 94.54, 107.69) 0.33
0.740

C41
20 103.99 15.54
3.35 ( 97.42, 110.57) 1.19
0.234

C42
20 100.90 17.39
3.35 ( 94.33, 107.48) 0.27
0.787

C43
20 99.21 9.03
3.35 ( 92.63, 105.78) -0.24
0.813

C44
20 100.58 17.42
3.35 ( 94.00, 107.15) 0.17
0.864

C45
20 102.73 19.32
3.35 ( 96.16, 109.31) 0.81
0.415

C46
20 103.50 15.43
3.35 ( 96.92, 110.07) 1.04
0.297

C47
20 104.67 13.18
3.35 ( 98.09, 111.24) 1.39
0.164

C48
20 100.22 17.22
3.35 ( 93.64, 106.79) 0.06
0.949

C49
20 99.49 19.67
3.35 ( 92.91, 106.06) -0.15
0.878

C50
20 102.54 14.80
3.35 ( 95.96, 109.11) 0.76
0.450

One-Sample Z: C51,
C52, C53, C54, C55, C56, C57, C58, …

Test of ? = 110 vs ? 110

The assumed standard deviation = 15

Variable
N Mean StDev
SE Mean 95% CI Z P

C51
20 101.77 11.85
3.35 ( 95.20, 108.35) -2.45
0.014

C52
20 98.42 15.55
3.35 ( 91.85, 105.00) -3.45
0.001

C53
20 102.28 12.85
3.35 ( 95.71, 108.86) -2.30
0.021

C54
20 112.37 14.60
3.35 (105.80, 118.95) 0.71
0.479$

C55
20 96.79 15.52
3.35 ( 90.22, 103.37) -3.94
0.000

C56
20 102.96 18.99
3.35 ( 96.38, 109.53) -2.10
0.036

C57
20 101.77 17.39
3.35 ( 95.20, 108.35) -2.45
0.014

C58
20 100.45 14.89
3.35 ( 93.88, 107.03) -2.85
0.004

C59
20 103.70 11.78
3.35 ( 97.12, 110.27) -1.88
0.060$

C60
20 109.68 20.59
3.35 (103.10, 116.25) -0.10
0.924$

C61
20 100.64 16.85
3.35 ( 94.07, 107.21) -2.79
0.005

C62
20 99.03
14.99 3.35 ( 92.46, 105.61) -3.27
0.001

C63
20 100.12 11.76
3.35 ( 93.55, 106.70) -2.95
0.003

C64
20 94.99 15.87
3.35 ( 88.41, 101.56) -4.48
0.000

C65
20 104.55 14.75
3.35 ( 97.97, 111.12) -1.63
0.104$

C66
20 97.31 18.02
3.35 ( 90.73, 103.88) -3.78
0.000

C67
20 100.39 17.62
3.35 ( 93.82, 106.96) -2.87
0.004

C68
20 102.00 13.65
3.35 ( 95.43, 108.58) -2.38
0.017

C69
20 97.48 14.34
3.35 ( 90.91, 104.06) -3.73
0.000

C70
20 101.37 15.49
3.35 ( 94.80, 107.95) -2.57
0.010

C71
20 96.24 11.48
3.35 ( 89.66, 102.81) -4.10
0.000

C72
20 96.42 13.59
3.35 ( 89.84, 102.99) -4.05
0.000

C73 20
103.84 10.95 3.35
( 97.26, 110.41) -1.84 0.066$

C74
20 99.60 15.32
3.35 ( 93.02, 106.17) -3.10
0.002

C75
20 99.45 12.35
3.35 ( 92.87, 106.02) -3.15
0.002

C76
20 101.17 13.03
3.35 ( 94.60, 107.74) -2.63
0.008

C77
20 98.35 10.11
3.35 ( 91.78, 104.92) -3.47
0.001

C78
20 98.00 12.82
3.35 ( 91.43, 104.57) -3.58
0.000

C79
20 93.04 19.37
3.35 ( 86.46, 99.61)
-5.06 0.000

C80
20 98.13 16.28
3.35 ( 91.56, 104.70) -3.54
0.000

C81
20 92.85 11.27
3.35 ( 86.28, 99.43)
-5.11 0.000

C82
20 102.20 16.18
3.35 ( 95.62, 108.77) -2.33
0.020

C83
20 102.19 15.65
3.35 ( 95.62, 108.77) -2.33
0.020

C84
20 98.14 16.58
3.35 ( 91.57, 104.71) -3.54
0.000

C85
20 100.64 18.20
3.35 ( 94.07, 107.21) -2.79
0.005

C86
20 91.78 12.99
3.35 ( 85.21, 98.35)
-5.43 0.000

C87
20 105.80 14.25
3.35 ( 99.23, 112.37) -1.25
0.211$

C88
20 101.84 12.73
3.35 ( 95.26, 108.41) -2.43
0.015

C89
20 98.97 15.08
3.35 ( 92.40, 105.55) -3.29
0.001

C90
20 102.12 18.06
3.35 ( 95.55, 108.70) -2.35
0.019

C91
20 102.47 15.42
3.35 ( 95.90, 109.05) -2.24
0.025

C92
20 101.65 17.43
3.35 ( 95.07, 108.22) -2.49
0.013

C93
20 105.53 17.09
3.35 ( 98.96, 112.10) -1.33
0.183$

C94
20 94.53 12.58
3.35 ( 87.95, 101.10) -4.61
0.000

C95
20 100.02 19.29
3.35 ( 93.45, 106.60) -2.97
0.003

C96
20 93.26 14.68
3.35 ( 86.69, 99.84)
-4.99 0.000

C97
20 100.78 15.69
3.35 ( 94.21, 107.35) -2.75
0.006

C98
20 100.64 17.19
3.35 ( 94.07, 107.21) -2.79
0.005

C99
20 100.31 11.50
3.35 ( 93.74, 106.88) -2.89
0.004

C100
20 100.26 11.19
3.35 ( 93.69, 106.84) -2.90
0.004

A) How many occurrences of p-values less than 0.05 did you
have?

I had 1
occurrence of p- value less than 0.05.

B) What Type Error (I or II) do these represent?

This represents a
type 1 error. Type I error is the false rejection of the null hypothesis.

C) You were testing the below hypothesis, What is your
conclusion when the p-value was less than 0.05?

Ho: Mu = 100

Ha: Mu does not = 100

(Note: Mu = Population Mean)

D) How does your conclusion from Part C above match what you
know about where the data came from?

A) How many occurrences of p-values greater than or equal to
0.05 did you have?

7 occurrences of
p-values greater than or equal to 0.05.

B) What Type Error (I or II) do these represent?

Type 2 error is
represented.

C) You were testing the below hypothesis, What is your
conclusion when the p-value was greater than or equal to 0.05 ?

Ho: Mu = 110

Ha: Mu does not = 110

(Note: Mu = Population Mean)

D) How does your conclusion from Part C above match what you
know about where the data came from?



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