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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, 22 Dec 2011 08:23:49 -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/2011/Dec/22/t1324560252uzdily5fyjayx54.htm/, Retrieved Fri, 03 May 2024 10:06:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159420, Retrieved Fri, 03 May 2024 10:06:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

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] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
- R PD  [Testing Mean with unknown Variance - Critical Value] [Hypothese mannen] [2011-12-22 12:57:56] [22f8bc702946f784836540059d0d9516]
-   PD      [Testing Mean with unknown Variance - Critical Value] [hypothese oordopjes] [2011-12-22 13:23:49] [76a85a4cc6ea7903d92a0f5b9d2872d3] [Current]
-   P         [Testing Mean with unknown Variance - Critical Value] [hypothese oordopj...] [2011-12-22 13:25:48] [22f8bc702946f784836540059d0d9516]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
137
129
135
136
139
125
126
124
131
124
124
129
140
138
137
121
123
123
123
126
129
129
134
120
125
121
129
134
130
132
138
131
125
129
133
140
139
133
122
133
127
131
136
136
125
126
130
138
120
130
131
122
129
128
139
132
136
135
127
123
126
124
132
121
125
128
125
129
127
128
128
120
126
133
125
140
122
128
127
137
138
129
121
131
136
120
121
121
121
138

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159420&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159420&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159420&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size90
Sample standard deviation5.88257971215968
Confidence0.97
Null hypothesis132
Sample Mean129.155555555556
2-sided Confidence Interval[ 127.788010362969 , 130.523100748143 ]
Left-sided Confidence Interval[ 127.974262740798 , +inf ]
Right-sided Confidence Interval[ -inf, 130.336848370314 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 90 \tabularnewline
Sample standard deviation & 5.88257971215968 \tabularnewline
Confidence & 0.97 \tabularnewline
Null hypothesis & 132 \tabularnewline
Sample Mean & 129.155555555556 \tabularnewline
2-sided Confidence Interval & [ 127.788010362969 , 130.523100748143 ] \tabularnewline
Left-sided Confidence Interval & [ 127.974262740798 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  130.336848370314 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159420&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]90[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]5.88257971215968[/C][/ROW]
[ROW][C]Confidence[/C][C]0.97[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]132[/C][/ROW]
[ROW][C]Sample Mean[/C][C]129.155555555556[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 127.788010362969 , 130.523100748143 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 127.974262740798 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  130.336848370314 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159420&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159420&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 size90
Sample standard deviation5.88257971215968
Confidence0.97
Null hypothesis132
Sample Mean129.155555555556
2-sided Confidence Interval[ 127.788010362969 , 130.523100748143 ]
Left-sided Confidence Interval[ 127.974262740798 , +inf ]
Right-sided Confidence Interval[ -inf, 130.336848370314 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.97 ; par2 = 132 ;
Parameters (R input):
par1 = 0.97 ; par2 = 132 ;
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')