Free Statistics

of Irreproducible Research!

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 computationFri, 22 Oct 2010 12:41:00 +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/t1287751409rcki8o9o1ads87x.htm/, Retrieved Thu, 18 Jul 2024 02:23:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87445, Retrieved Thu, 18 Jul 2024 02:23:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213
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] [9ea95e194e0eb2a674315798620d5bc6] [Current]
-    D        [Testing Mean with unknown Variance - Critical Value] [Q5 I1 equals 20 f...] [2010-10-22 12:52:11] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
F    D          [Testing Mean with unknown Variance - Critical Value] [Vraag 5] [2010-10-25 17:55:34] [39c51da0be01189e8a44eb69e891b7a1]
-    D            [Testing Mean with unknown Variance - Critical Value] [vraag 6] [2010-10-25 18:05:06] [39c51da0be01189e8a44eb69e891b7a1]
-    D          [Testing Mean with unknown Variance - Critical Value] [vraag 5] [2010-10-25 17:57:27] [9f32078fdcdc094ca748857d5ebdb3de]
-                 [Testing Mean with unknown Variance - Critical Value] [vraag 6] [2010-10-25 18:04:59] [9f32078fdcdc094ca748857d5ebdb3de]
- R  D            [Testing Mean with unknown Variance - Critical Value] [WS 4 - vraag 5] [2011-10-21 17:48:17] [6a3e51c0c7ab195427042dfaef1df5a0]
-    D          [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:14:15] [dc30d19c3bc2be07fe595ad36c2cf923]
F    D          [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:16:54] [dc30d19c3bc2be07fe595ad36c2cf923]
F    D            [Testing Mean with unknown Variance - Critical Value] [Question 6] [2010-10-26 17:00:24] [b659239b537e56f17142ee5c56ad6265]
- RMPD        [Testing Mean with known Variance - Sample Size] [Sample size] [2010-10-22 13:36:15] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-               [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]

[Truncated]
Feedback Forum

Post a new message
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=87445&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=87445&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87445&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=87445&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=87445&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87445&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')