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

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

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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