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Description of Statistical Computation

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 computationThu, 19 Dec 2013 04:31:57 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/19/t1387445552ahuboyigujjmr8t.htm/, Retrieved Fri, 19 Apr 2024 23:09:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232445, Retrieved Fri, 19 Apr 2024 23:09:39 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185

Tree of Dependent Computations

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] [] [2013-12-19 09:31:57] [9e6a405f514733ea23d87e4507d39d29] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
22
2
0
4
14
2
0
4
6
25
0
25
0
2
30
1
0
0
8
0
0
0
6
0
6
12
1
20
5
0
21
3
5
8
10
5
8
6
15
9
14
9
5
9
10
12
9
7
15
14
16
6
6
2
8
0
6
4
15
0
12
0
13
18
4
9
12
14
0
4
12
15
0
30
0
0
3
2
15
3
4
12
8
12
18
15
3
0
0
21
10
5
0
1
0
6
12
10
0
25
3
15
10
15
4
10
2
12
9
1
4
2
0
1
0
0
0
18
3
6
0
2
4
15
6
30
3
18
10
0
7
0
22
7
4
15
5
14
11
24
24
0
20
12
7
0
28
12
15
0
7
8
30
14
3
3
0
15
0
11
1
30
4
0
3
0
0
0
0
12
26
0
6
0
4
19
16
8
10
6
2
0
30
8
0
10
15
21
1
5
0
4
1
4
24
11
0
0
0
1
0
30
6
0
9
5
2
8
16
0
12
0
0
9
10
5
2
6
0
0
0
24
0
18
1
4
0
2
12
0
10
0
0
0
2
0
20
0
8
1
2
10
10
12
17
6
4
21
0
15
1
14
7
19
6
14
26
0
0
0
0
0
2
8
20
7
1
0
13
0
19
0
0
6
0
1
6
30
0
5
15
0
6
0
14
21
0
16
30
15
30
9
0
0
8
29
21
6
0
6

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232445&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232445&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232445&T=0

As an alternative you can also use a QR Code:  
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'Gwilym Jenkins' @ jenkins.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size300
Sample standard deviation8.18556455674241
Confidence0.97
Null hypothesis8
Sample Mean7.77666666666667
2-sided Confidence Interval[ 6.74617701344128 , 8.80715631989205 ]
Left-sided Confidence Interval[ 6.88443047490158 , +inf ]
Right-sided Confidence Interval[ -inf, 8.66890285843175 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 300 \tabularnewline
Sample standard deviation & 8.18556455674241 \tabularnewline
Confidence & 0.97 \tabularnewline
Null hypothesis & 8 \tabularnewline
Sample Mean & 7.77666666666667 \tabularnewline
2-sided Confidence Interval & [ 6.74617701344128 , 8.80715631989205 ] \tabularnewline
Left-sided Confidence Interval & [ 6.88443047490158 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  8.66890285843175 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232445&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]300[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]8.18556455674241[/C][/ROW]
[ROW][C]Confidence[/C][C]0.97[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]8[/C][/ROW]
[ROW][C]Sample Mean[/C][C]7.77666666666667[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 6.74617701344128 , 8.80715631989205 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 6.88443047490158 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  8.66890285843175 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232445&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232445&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Hypothesis Test about the Mean - Confidence Interval
Sample size300
Sample standard deviation8.18556455674241
Confidence0.97
Null hypothesis8
Sample Mean7.77666666666667
2-sided Confidence Interval[ 6.74617701344128 , 8.80715631989205 ]
Left-sided Confidence Interval[ 6.88443047490158 , +inf ]
Right-sided Confidence Interval[ -inf, 8.66890285843175 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.97 ; par2 = 8 ;
Parameters (R input):
par1 = 0.97 ; par2 = 8 ;
R code (references can be found in the software module):
par2 <- '8'
par1 <- '0.95'
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')