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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, 24 Jan 2020 13:56:59 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/Jan/24/t157987079107fbsip6s5b2ln0.htm/, Retrieved Fri, 29 Mar 2024 07:47:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319034, Retrieved Fri, 29 Mar 2024 07:47:29 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142
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] [Vraag 1] [2020-01-24 12:56:59] [9d8d6fac8ef3a05a79a41723155b7177] [Current]
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Dataseries X:
36
32
33
39
34
39
36
33
30
39
37
37
35
32
36
36
41
36
37
29
39
37
32
36
43
30
33
28
30
28
39
34
34
29
32
33
27
35
38
40
34
34
26
39
34
39
26
30
34
34
29
41
43
31
33
34
30
23
29
35
40
27
30
27
29
33
32
33
36
34
45
30
22
24
25
26
27
27
35
36
32
35
35
36
37
33
25
35
37
36
35
29
35
31
30
37
36
35
32
34
37
36
39
37
31
40
38
35
38
32
41
28
40
25
28
37
37
40
26
30
32
31
28
34
39
33
43
37
31
31
34
32
27
34
28
32
39
28
39
32
36
31
39
23
25
32
32
36
39
31
32
28
34
28
38
35
32
26
32
28
31
33
38
38
36
31
36
43
37
28
35
34
40
31
41
35
38
37
31




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319034&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319034&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319034&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 Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Hypothesis Test about the Mean - Confidence Interval
Sample size179
Sample standard deviation4.59630760098417
Confidence0.98
Null hypothesis35
Sample Mean33.5418994413408
2-sided Confidence Interval[ 32.7354365856855 , 34.348362296996 ]
Left-sided Confidence Interval[ 32.831138169686 , +inf ]
Right-sided Confidence Interval[ -inf, 34.2526607129955 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 179 \tabularnewline
Sample standard deviation & 4.59630760098417 \tabularnewline
Confidence & 0.98 \tabularnewline
Null hypothesis & 35 \tabularnewline
Sample Mean & 33.5418994413408 \tabularnewline
2-sided Confidence Interval & [ 32.7354365856855 , 34.348362296996 ] \tabularnewline
Left-sided Confidence Interval & [ 32.831138169686 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  34.2526607129955 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319034&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]179[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]4.59630760098417[/C][/ROW]
[ROW][C]Confidence[/C][C]0.98[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]35[/C][/ROW]
[ROW][C]Sample Mean[/C][C]33.5418994413408[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 32.7354365856855 , 34.348362296996 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 32.831138169686 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  34.2526607129955 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319034&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319034&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 size179
Sample standard deviation4.59630760098417
Confidence0.98
Null hypothesis35
Sample Mean33.5418994413408
2-sided Confidence Interval[ 32.7354365856855 , 34.348362296996 ]
Left-sided Confidence Interval[ 32.831138169686 , +inf ]
Right-sided Confidence Interval[ -inf, 34.2526607129955 ]



Parameters (Session):
par1 = 0.98 ; par2 = 35 ;
Parameters (R input):
par1 = 0.98 ; par2 = 35 ;
R code (references can be found in the software module):
par2 <- '32'
par1 <- '0.98'
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')