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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean4.wasp
Title produced by softwareTesting Mean with known Variance - Sample Size
Date of computationFri, 22 Oct 2010 13:36:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/22/t1287754491ivvcsce7z3bwdn4.htm/, Retrieved Mon, 29 Apr 2024 08:21:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87488, Retrieved Mon, 29 Apr 2024 08:21:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact205
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Q4 I1 equals 20 male] [2010-10-22 12:41:00] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RMPD        [Testing Mean with known Variance - Sample Size] [Sample size] [2010-10-22 13:36:15] [9ea95e194e0eb2a674315798620d5bc6] [Current]
-               [Testing Mean with known Variance - Sample Size] [sample size 2] [2010-10-22 13:38:55] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-   P             [Testing Mean with known Variance - Sample Size] [Vraag 10] [2010-10-25 20:05:46] [39c51da0be01189e8a44eb69e891b7a1]
- RMP             [Minimum Sample Size - Testing Mean] [vraag 11] [2010-10-25 20:10:23] [39c51da0be01189e8a44eb69e891b7a1]
-                 [Testing Mean with known Variance - Sample Size] [] [2010-10-26 08:40:06] [dc30d19c3bc2be07fe595ad36c2cf923]
F   P               [Testing Mean with known Variance - Sample Size] [Question 10] [2010-10-26 17:13:48] [b659239b537e56f17142ee5c56ad6265]
- RM            [Minimum Sample Size - Testing Mean] [Q11] [2010-10-22 13:43:32] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- R P             [Minimum Sample Size - Testing Mean] [Workshop 4, vraag 11] [2010-10-22 20:50:18] [d6a5e6c1b0014d57cedb2bdfb4a7099f]
-   P               [Minimum Sample Size - Testing Mean] [workshop 4, vraag 11] [2010-10-25 19:05:43] [d6a5e6c1b0014d57cedb2bdfb4a7099f]
-                     [Minimum Sample Size - Testing Mean] [] [2010-10-26 08:22:04] [1251ac2db27b84d4a3ba43449388906b]
-   P             [Minimum Sample Size - Testing Mean] [vraag 11] [2010-10-25 20:10:30] [9f32078fdcdc094ca748857d5ebdb3de]
- R                 [Minimum Sample Size - Testing Mean] [WS 4 - vraag 11] [2011-10-22 09:25:06] [6a3e51c0c7ab195427042dfaef1df5a0]
F                 [Minimum Sample Size - Testing Mean] [] [2010-10-26 08:43:33] [dc30d19c3bc2be07fe595ad36c2cf923]
F   P               [Minimum Sample Size - Testing Mean] [Question 11] [2010-10-26 17:16:03] [b659239b537e56f17142ee5c56ad6265]
-   P             [Minimum Sample Size - Testing Mean] [question 11 ws4] [2010-10-26 14:01:01] [945bcebba5e7ac34a41d6888338a1ba9]
- R P             [Minimum Sample Size - Testing Mean] [] [2011-10-24 19:04:15] [06c08141d7d783218a8164fd2ea166f2]
- RM D          [Population Mean Test] [population mean test] [2010-10-22 14:04:56] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RMPD            [One Sample Tests about the Mean] [] [2011-10-23 16:11:29] [06c08141d7d783218a8164fd2ea166f2]
- RMPD            [One Sample Tests about the Mean] [] [2011-10-23 16:19:41] [06c08141d7d783218a8164fd2ea166f2]
- RMP               [One Sample Tests about the Mean] [] [2011-11-07 14:30:04] [46d7ccc24e5d35a2decd922dfb3b3a39]
- RM            [Testing Variance - Confidence Intervals for Sample Variance] [Variantie mannen] [2010-10-22 14:12:22] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-                 [Testing Variance - Confidence Intervals for Sample Variance] [Variantie vrouwen] [2010-10-22 14:14:19] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [vraag 8 vrouwen] [2010-10-25 18:40:55] [9f32078fdcdc094ca748857d5ebdb3de]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [vraag 8 deel 2] [2010-10-25 18:40:56] [39c51da0be01189e8a44eb69e891b7a1]
-                   [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-26 08:34:17] [dc30d19c3bc2be07fe595ad36c2cf923]
F   P                 [Testing Variance - Confidence Intervals for Sample Variance] [variance of I1 fe...] [2010-10-26 17:09:24] [b659239b537e56f17142ee5c56ad6265]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [question 8 Females] [2010-10-26 12:11:55] [945bcebba5e7ac34a41d6888338a1ba9]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [question 8 Males] [2010-10-26 12:15:28] [945bcebba5e7ac34a41d6888338a1ba9]
- RM D            [Testing Mean with unknown Variance - Critical Value] [Test treatment 1] [2010-10-22 14:33:44] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D              [Testing Mean with unknown Variance - Critical Value] [Test treatment 2] [2010-10-22 14:36:53] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D                [Testing Mean with unknown Variance - Critical Value] [Test treatment 3] [2010-10-22 14:39:37] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-   P                   [Testing Mean with unknown Variance - Critical Value] [vraag 2c] [2010-10-25 21:04:28] [9f32078fdcdc094ca748857d5ebdb3de]
-   P                   [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 21:05:12] [39c51da0be01189e8a44eb69e891b7a1]
-   P                   [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:09:58] [dc30d19c3bc2be07fe595ad36c2cf923]
F                         [Testing Mean with unknown Variance - Critical Value] [Treatment 3] [2010-10-26 16:33:02] [b659239b537e56f17142ee5c56ad6265]
- R P                   [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:37:31] [3deae35ae8526e36953f595ad65f3a1f]
-                         [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.3] [2011-10-24 17:36:25] [246430c28552f7bc561843533d7ec653]
-   P                 [Testing Mean with unknown Variance - Critical Value] [vraag 2b] [2010-10-25 20:57:55] [9f32078fdcdc094ca748857d5ebdb3de]
-   P                 [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 20:58:23] [39c51da0be01189e8a44eb69e891b7a1]
- R PD                [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:07:28] [dc30d19c3bc2be07fe595ad36c2cf923]
F                       [Testing Mean with unknown Variance - Critical Value] [Treatment 2] [2010-10-26 16:31:27] [b659239b537e56f17142ee5c56ad6265]
- R P                 [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:35:50] [3deae35ae8526e36953f595ad65f3a1f]
-                       [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.2] [2011-10-24 17:35:34] [246430c28552f7bc561843533d7ec653]
-   P               [Testing Mean with unknown Variance - Critical Value] [vraag 2] [2010-10-25 20:51:22] [9f32078fdcdc094ca748857d5ebdb3de]
- R                   [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (T)] [2010-10-26 22:29:52] [74be16979710d4c4e7c6647856088456]
- R  D                [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (E)] [2010-10-26 22:33:37] [74be16979710d4c4e7c6647856088456]
- R  D                [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (S)] [2010-10-26 22:37:56] [74be16979710d4c4e7c6647856088456]
-    D                [Testing Mean with unknown Variance - Critical Value] [treatment wwe] [2010-12-11 12:13:20] [9f32078fdcdc094ca748857d5ebdb3de]
- R  D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:37:30] [9f32078fdcdc094ca748857d5ebdb3de]

[Truncated]
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87488&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87488&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Testing Mean with known Variance
population variance13
null hypothesis about mean20
alternative hypothesis about mean21
type I error0.05
type II error0.05
sample size140.688259612962

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
population variance & 13 \tabularnewline
null hypothesis about mean & 20 \tabularnewline
alternative hypothesis about mean & 21 \tabularnewline
type I error & 0.05 \tabularnewline
type II error & 0.05 \tabularnewline
sample size & 140.688259612962 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87488&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]20[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]21[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]type II error[/C][C]0.05[/C][/ROW]
[ROW][C]sample size[/C][C]140.688259612962[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87488&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Testing Mean with known Variance
population variance13
null hypothesis about mean20
alternative hypothesis about mean21
type I error0.05
type II error0.05
sample size140.688259612962



Parameters (Session):
par1 = 64 ; par2 = 9 ; par3 = 0.65 ;
Parameters (R input):
par1 = 13 ; par2 = 20 ; par3 = 21 ; par4 = 0.05 ; par5 = 0.05 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
par5<-as.numeric(par5)
c <- 'NA'
csn <- abs(qnorm(par5))
if (par2 == par3)
{
conclusion <- 'Error: the null hypothesis and alternative hypothesis must not be equal.'
}
ua <- abs(qnorm(par4))
ub <- qnorm(par5)
c <- (par2+ua/ub*(-par3))/(1-(ua/ub))
sqrtn <- ua*sqrt(par1)/(c - par2)
samplesize <- sqrtn * sqrtn
ua
ub
c
sqrtn
samplesize
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm','Testing Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'population variance',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'null hypothesis about mean',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alternative hypothesis about mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type I error',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type II error',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm#ex4','sample size','example'),header=TRUE)
a<-table.element(a,samplesize)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')