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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Tue, 07 Oct 2014 08:53:21 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Oct/07/t1412668420ghgvp5ngp6zhror.htm/, Retrieved Thu, 09 May 2024 22:13:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=239089, Retrieved Thu, 09 May 2024 22:13:39 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

273

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Testing Mean with unknown Variance - Critical Value] [] [2010-10-25 13:26:31] [b98453cac15ba1066b407e146608df68]
- RMP     [Testing Mean with unknown Variance - Critical Value] [] [2014-10-07 07:53:21] [63a9f0ea7bb98050796b649e85481845] [Current]
- R         [Testing Mean with unknown Variance - Critical Value] [] [2014-10-21 10:29:02] [b2fe7fef0850359c2a41ad606a8f04c2] 
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 12:44:36] [b2fe7fef0850359c2a41ad606a8f04c2] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 08:01:41] [2b9d0c54c8c845c625e475ed5f1f3af1] 
-  M        [Testing Mean with unknown Variance - Critical Value] [hypothese s] [2014-10-22 10:44:57] [673773038936aef3a5778d7e6bda5c1e] 
-  M        [Testing Mean with unknown Variance - Critical Value] [Compendium 4, Que...] [2014-10-22 10:47:36] [be945163e51ed825733188af308451be] 
-  M        [Testing Mean with unknown Variance - Critical Value] [Compendium 4, Que...] [2014-10-22 10:47:36] [be945163e51ed825733188af308451be] 
-  M        [Testing Mean with unknown Variance - Critical Value] [WS5] [2014-10-22 11:46:37] [93cb0d178904cf975da218b7c929e42d] 
-           [Testing Mean with unknown Variance - Critical Value] [WS4 - 3] [2014-10-22 12:01:49] [40df8d8b5657a9599acc6ccced535535] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 12:19:35] [5d70ade31d892c55b68fa1af48da4bec] 
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 12:22:07] [765bd0d5d4a0c852014c120c6930661d] 
-           [Testing Mean with unknown Variance - Critical Value] [WS4-task1-test3] [2014-10-22 12:26:17] [81f624c2f0b20a2549c93e7c3dccf981] 
-           [Testing Mean with unknown Variance - Critical Value] [hyp 3] [2014-10-22 12:37:18] [2ba32e9656c7c3fdddad3ba3f1588288] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 12:37:51] [bca3c6529212edfac3e771806c79a908] 
-           [Testing Mean with unknown Variance - Critical Value] [hypothese test 3] [2014-10-22 12:53:57] [1e921ed6280e31020168fe5cd3fc7265] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 13:11:39] [d253a55552bf9917a397def3be261e30] 
-           [Testing Mean with unknown Variance - Critical Value] [WS4 Q1] [2014-10-22 13:17:48] [bcf5edf18529a33bd1494456d2c6cb9a] 
-           [Testing Mean with unknown Variance - Critical Value] [berekening 3 ws 4] [2014-10-22 13:20:38] [b007041690f75f30ec26eb43925b7b35] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 13:26:54] [ae96d02647dd9ad9c105f1fa6642e295] 
-           [Testing Mean with unknown Variance - Critical Value] [WS4 SHW] [2014-10-22 13:29:10] [cac6c5fb035463be46c296b46e439cb5] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 13:30:14] [eee95947b6243a1febfcd5f41483d733] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 13:30:33] [dacad244957cb51472792888970d4390] 
-  M        [Testing Mean with unknown Variance - Critical Value] [Question 2] [2014-10-22 13:32:54] [6656361aa4da5489a6a45e803df0211c] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:01:56] [7b576ab45e161dc8fb6fe50455a3800c] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:29:43] [fa1b8827d7de91b8b87087311d3d9fa1] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:38:08] [fa1b8827d7de91b8b87087311d3d9fa1] 
- R PD      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:43:29] [fa1b8827d7de91b8b87087311d3d9fa1] 
- R  D        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:50:43] [fa1b8827d7de91b8b87087311d3d9fa1] 
- R PD        [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 16:30:52] [ccd66b5a2d6b0dd8c147f526ae5cbd1f] 
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 16:32:50] [ccd66b5a2d6b0dd8c147f526ae5cbd1f] 
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 17:21:21] [ccd66b5a2d6b0dd8c147f526ae5cbd1f] 
-    D            [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 17:22:35] [ccd66b5a2d6b0dd8c147f526ae5cbd1f] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 15:11:54] [99723d3e379f668157309b7b2091b15d] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 15:41:42] [8d160a85bfd9526a7d0e42afc5fb569b] 
- R         [Testing Mean with unknown Variance - Critical Value] [question 1] [2014-10-22 16:00:32] [18108d1ac0353540c4304edbd3652e0f] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 16:00:57] [1a6d42b46b3d01bc960fcfb45e99fecd] 
-           [Testing Mean with unknown Variance - Critical Value] [hypothese 16] [2014-10-22 16:42:48] [55a850ac261e4a7d4f206113c00d6f60] 
-  M        [Testing Mean with unknown Variance - Critical Value] [wS4 q2] [2014-10-22 16:52:45] [8523551e1e4e3cbe97fa25692e177b2e] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 17:38:39] [69bf0eb8b9b38defaaf4848d8c317571] 
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 17:43:59] [69bf0eb8b9b38defaaf4848d8c317571] 
- R  D        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 17:46:49] [69bf0eb8b9b38defaaf4848d8c317571] 
-           [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 19:13:55] [9922f47a08b670aeeb7c38448acbfea1] 
-           [Testing Mean with unknown Variance - Critical Value] [3] [2014-10-23 08:00:00] [9378e2688aa9dcfd1390615d31e9d404] 
-           [Testing Mean with unknown Variance - Critical Value] [123] [2014-10-23 13:32:48] [118a39334d200089014f927b57d44a19] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-23 13:49:50] [dd7a37d66cc3f8699a204e53c0324369] 
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-23 17:10:45] [cc401d1001c65f55a3dfc6f2420e9570] 
- RM          [Testing Mean with unknown Variance - Critical Value] [] [2014-10-23 17:11:22] [cc401d1001c65f55a3dfc6f2420e9570] 
-  M        [Testing Mean with unknown Variance - Critical Value] [] [2014-10-23 17:17:00] [02fb6cbf799bcf1e525e4e01c2f27ada] 
-   P       [Testing Mean with unknown Variance - Critical Value] [Hypothesis test] [2014-10-23 17:19:23] [3d5212c89039da1a3a24d8e18d23c716] 

[Truncated]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=239089&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=239089&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=239089&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Hypothesis Test about the Mean - Confidence Interval
Sample size	35
Sample standard deviation	0.539218232741632
Confidence	0.95
Null hypothesis	0
Sample Mean	0.0571428571428571
2-sided Confidence Interval	[ -0.128085086527478 , 0.242370800813192 ]
Left-sided Confidence Interval	[ -0.0969756169160081 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.211261331201722 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 35 \tabularnewline
Sample standard deviation & 0.539218232741632 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.0571428571428571 \tabularnewline
2-sided Confidence Interval & [ -0.128085086527478 , 0.242370800813192 ] \tabularnewline
Left-sided Confidence Interval & [ -0.0969756169160081 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.211261331201722 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=239089&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]35[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.539218232741632[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.0571428571428571[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.128085086527478 , 0.242370800813192 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.0969756169160081 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.211261331201722 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=239089&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=239089&T=1

As an alternative you can also use a QR Code:

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

Hypothesis Test about the Mean - Confidence Interval
Sample size	35
Sample standard deviation	0.539218232741632
Confidence	0.95
Null hypothesis	0
Sample Mean	0.0571428571428571
2-sided Confidence Interval	[ -0.128085086527478 , 0.242370800813192 ]
Left-sided Confidence Interval	[ -0.0969756169160081 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.211261331201722 ]

Parameters (Session):

par1 = 0.95 ; par2 = 0 ;

Parameters (R input):

par1 = 0.95 ; par2 = 0 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample Mean',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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Input Parameters & R Code