## 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 12:31:07 +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/t1287750599h8ruhj19bj48454.htm/, Retrieved Sun, 03 Dec 2023 04:14:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87424, Retrieved Sun, 03 Dec 2023 04:14:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128
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]
F   PD      [Testing Mean with unknown Variance - Critical Value] [Question 4] [2010-10-22 12:31:07] [cfd788255f1b1b5389e58d7f218c70bf] [Current]
F    D        [Testing Mean with unknown Variance - Critical Value] [Question 5] [2010-10-22 12:33:09] [4a7069087cf9e0eda253aeed7d8c30d6]
F RM D        [Testing Variance - Critical Value (Region)] [Question 8 - Male] [2010-10-22 12:59:04] [4a7069087cf9e0eda253aeed7d8c30d6]
- R             [Testing Variance - Critical Value (Region)] [Question - Female] [2010-10-22 13:00:00] [4a7069087cf9e0eda253aeed7d8c30d6]
F RM            [Testing Mean with known Variance - Sample Size] [Question 9] [2010-10-22 13:09:22] [4a7069087cf9e0eda253aeed7d8c30d6]
F                 [Testing Mean with known Variance - Sample Size] [Question 10] [2010-10-22 13:11:50] [4a7069087cf9e0eda253aeed7d8c30d6]
F RM              [Minimum Sample Size - Testing Mean] [Question 11] [2010-10-22 13:15:08] [4a7069087cf9e0eda253aeed7d8c30d6]
Feedback Forum
 2010-11-02 15:27:25 [4d4f7d38b8a37a3fb90a9939352fc7e6] [reply] Het resultaat toont ons dat mannen een gemiddelde motivatie hebben van rond de 20. Omdat 20 in het 95% interval ligt ([ 19.5619876187585 , 21.0094409526700 ]).
 2010-11-03 14:13:58 [07e9eb4976a13216fde13362eef7fcc8] [reply] De gekozen nulhypothese van “20” valt binnen het interval [ 19.5619876187585 , 21.0094409526700 ] en wordt dus aanvaard.

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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 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=87424&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=87424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87424&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 1 seconds R Server 'RServer@AstonUniversity' @ vre.aston.ac.uk

 Hypothesis Test about the Mean - Confidence Interval Sample size 98 Sample standard deviation 3.60983764663337 Confidence 0.95 Null hypothesis 20 Sample Mean 20.2857142857143 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=87424&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=87424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87424&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 98 Sample standard deviation 3.60983764663337 Confidence 0.95 Null hypothesis 20 Sample Mean 20.2857142857143 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 = 0.466666667 ;
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)
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,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
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)