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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationMon, 25 Oct 2010 20:51:55 +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/25/t12880398709c4gejh1rfkhfp0.htm/, Retrieved Sat, 27 Apr 2024 06:27:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88530, Retrieved Sat, 27 Apr 2024 06:27:40 +0000
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Original text written by user:
IsPrivate?This computation is/was private until 2010-10-27
User-defined keywords
Estimated Impact1049
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 20:51:55] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-         [Testing Mean with unknown Variance - Critical Value] [] [2010-10-31 11:48:58] [1afa3497b02a8d7c9f6727c1b17b89b2]
-         [Testing Mean with unknown Variance - Critical Value] [] [2010-11-17 18:21:15] [29e492448d11757ae0fad5ef6e7f8e86]
-         [Testing Mean with unknown Variance - Critical Value] [] [2010-11-18 15:57:12] [f47feae0308dca73181bb669fbad1c56]
-         [Testing Mean with unknown Variance - Critical Value] [Vraag 4] [2010-11-18 18:17:01] [4f1a20f787b3465111b61213cdeef1a9]
-         [Testing Mean with unknown Variance - Critical Value] [] [2010-11-18 18:31:44] [adca540665f1dd1a5a4406fd7f55bdf4]
-         [Testing Mean with unknown Variance - Critical Value] [] [2010-11-18 18:31:44] [adca540665f1dd1a5a4406fd7f55bdf4]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-11-25 12:27:48] [62f7c80c4d96454bbd2b2b026ea9aad9]
-   PD      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-11-25 12:36:41] [62f7c80c4d96454bbd2b2b026ea9aad9]
-    D      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-12-06 20:54:24] [62f7c80c4d96454bbd2b2b026ea9aad9]
-   PD      [Testing Mean with unknown Variance - Critical Value] [Hypothesis test a...] [2010-12-06 20:56:54] [62f7c80c4d96454bbd2b2b026ea9aad9]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Hypothese test - ...] [2010-11-25 12:32:31] [2960375a246cc0628590c95c4038a43c]
- R PD      [Testing Mean with unknown Variance - Critical Value] [hypothese test] [2010-11-26 18:43:29] [c1605865773cc027e55b238d879a644c]
- R  D      [Testing Mean with unknown Variance - Critical Value] [hypothese test] [2010-11-26 18:45:19] [c1605865773cc027e55b238d879a644c]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Hypothesetest (Me...] [2010-11-25 12:31:36] [d7a673bc47e3999e70f4e1e2276e5189]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Hypothese test - ...] [2010-11-25 12:34:55] [2960375a246cc0628590c95c4038a43c]
- R         [Testing Mean with unknown Variance - Critical Value] [invoer] [2010-11-26 19:01:41] [c1605865773cc027e55b238d879a644c]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Hypothesis test (...] [2010-11-25 12:36:45] [d7a673bc47e3999e70f4e1e2276e5189]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Tweezijdige Hypot...] [2010-12-10 11:50:13] [26379b86c25fbf0febe6a7a428e65173]
-   P       [Testing Mean with unknown Variance - Critical Value] [Tweezijdige Hypot...] [2010-12-17 10:30:59] [26379b86c25fbf0febe6a7a428e65173]
- R  D    [Testing Mean with unknown Variance - Critical Value] [ws4TimDamen] [2011-01-24 11:47:01] [74be16979710d4c4e7c6647856088456]
- R  D    [Testing Mean with unknown Variance - Critical Value] [ws4TimDamen] [2011-01-24 11:52:43] [74be16979710d4c4e7c6647856088456]
- R       [Testing Mean with unknown Variance - Critical Value] [WS 4 - vraag 4] [2011-10-21 17:54:05] [6a3e51c0c7ab195427042dfaef1df5a0]
- R  D    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-22 13:35:05] [ec2187f7727da5d5d939740b21b8b68a]
- R  D      [Testing Mean with unknown Variance - Critical Value] [] [2011-10-22 13:42:51] [ec2187f7727da5d5d939740b21b8b68a]
-    D        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-22 13:44:37] [ec2187f7727da5d5d939740b21b8b68a]
- RM          [One Sample Tests about the Mean] [] [2011-10-22 14:04:46] [ec2187f7727da5d5d939740b21b8b68a]
- R  D          [One Sample Tests about the Mean] [] [2011-10-22 14:06:35] [ec2187f7727da5d5d939740b21b8b68a]
- RM D          [Testing Variance - Critical Value (Region)] [] [2011-10-22 14:28:15] [ec2187f7727da5d5d939740b21b8b68a]
- R               [Testing Variance - Critical Value (Region)] [] [2011-10-22 14:30:17] [ec2187f7727da5d5d939740b21b8b68a]
- RM              [Testing Mean with known Variance - Sample Size] [] [2011-10-22 14:41:03] [ec2187f7727da5d5d939740b21b8b68a]
- R                 [Testing Mean with known Variance - Sample Size] [] [2011-10-22 14:44:42] [ec2187f7727da5d5d939740b21b8b68a]
- RM                [Minimum Sample Size - Testing Mean] [] [2011-10-22 14:52:36] [ec2187f7727da5d5d939740b21b8b68a]
- R           [Testing Mean with unknown Variance - Critical Value] [Comp 4 deel 4] [2012-10-23 18:41:34] [8eb8d17c2ec8c4c2abfbcde955accee7]
- R  D        [Testing Mean with unknown Variance - Critical Value] [Comp 4 deel 5] [2012-10-23 18:45:57] [8eb8d17c2ec8c4c2abfbcde955accee7]
- RMP         [One Sample Tests about the Mean] [Comp 4 deel 6] [2012-10-23 19:06:14] [8eb8d17c2ec8c4c2abfbcde955accee7]
-    D          [One Sample Tests about the Mean] [Comp 4 deel 6 B] [2012-10-23 19:10:43] [8eb8d17c2ec8c4c2abfbcde955accee7]
- R  D    [Testing Mean with unknown Variance - Critical Value] [Ws 4: Vraag 4] [2011-10-25 13:38:17] [10b12745961ee885a66356b3bf31ed40]
- R  D      [Testing Mean with unknown Variance - Critical Value] [WS 4: Vraag 5] [2011-10-25 13:44:14] [10b12745961ee885a66356b3bf31ed40]
- RMPD      [One Sample Tests about the Mean] [Ws 4: Vraag 6] [2011-10-25 13:55:21] [10b12745961ee885a66356b3bf31ed40]
- R  D        [One Sample Tests about the Mean] [Ws 4: Vraag 7] [2011-10-25 13:57:46] [10b12745961ee885a66356b3bf31ed40]
- RMPD        [Variability] [ws 4 : vraag 8 a] [2011-10-25 14:09:48] [10b12745961ee885a66356b3bf31ed40]
- R  D          [Variability] [ws 4 : vraag 8 b] [2011-10-25 14:15:29] [10b12745961ee885a66356b3bf31ed40]
- RMPD          [Testing Mean with known Variance - Sample Size] [WS 4: Vraag 9] [2011-10-25 14:19:35] [10b12745961ee885a66356b3bf31ed40]
- R P             [Testing Mean with known Variance - Sample Size] [WS 4: Vraag 10] [2011-10-25 14:23:08] [10b12745961ee885a66356b3bf31ed40]
- RMP             [Minimum Sample Size - Testing Mean] [WS 4: vraag 11] [2011-10-25 14:29:51] [10b12745961ee885a66356b3bf31ed40]
- R P               [Minimum Sample Size - Testing Mean] [WS 4: vraag 11 ve...] [2011-10-25 14:33:13] [10b12745961ee885a66356b3bf31ed40]
- RMPD              [Testing Mean with unknown Variance - Critical Value] [WS 4: vraag 2 a] [2011-10-25 14:45:42] [10b12745961ee885a66356b3bf31ed40]
-   PD                [Testing Mean with unknown Variance - Critical Value] [WS 4: Vraag 2a] [2011-10-25 20:10:22] [570fce4db58fd7864ac807c4286d6e49]

[Truncated]
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Dataseries X:
26
20
19

20
25

22
26
22


19
24
26

13


22

21
7

17
25
25
19

23

22
21



18


22
18
23
20


15


21

18
19
22
16

18
20
24


24
18
21

17



22
16
21


24
24
16
16




18

20


24
17
19
20
15

22
23
16
19

19


21

24
22

18

24
24
22
23
22
20
18
25

16
20

15
19
19
16
17
28

25
20


16




23
21


23
18
20
9

25
20




21
22
27



18
16
22
20

20




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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=88530&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]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=88530&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88530&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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.60983764663337 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.2857142857143 \tabularnewline
2-sided Confidence Interval & [ 19.5619876187585 , 21.00944095267 ] \tabularnewline
Left-sided Confidence Interval & [ 19.6801369145128 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8912916569158 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88530&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.60983764663337[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.2857142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.5619876187585 , 21.00944095267 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.6801369145128 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8912916569158 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88530&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88530&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 size98
Sample standard deviation3.60983764663337
Confidence0.95
Null hypothesis20
Sample Mean20.2857142857143
2-sided Confidence Interval[ 19.5619876187585 , 21.00944095267 ]
Left-sided Confidence Interval[ 19.6801369145128 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8912916569158 ]



Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; par2 = 20 ;
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')