# 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

This paper circulates around the core theme of 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? together with its essential aspects. It has been reviewed and purchased by the majority of students thus, this paper is rated 4.8 out of 5 points by the students. In addition to this, the price of this paper commences from £ 99. To get this paper written from the scratch, order this assignment now. 100% confidential, 100% plagiarism-free.

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?

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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