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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 computationWed, 10 Dec 2014 17:42:46 +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/2014/Dec/10/t141823338427g37muoce6uo8h.htm/, Retrieved Tue, 28 May 2024 23:17:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265531, Retrieved Tue, 28 May 2024 23:17:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Survey Scores] [Intrinsic Motivat...] [2010-10-12 11:18:40] [b98453cac15ba1066b407e146608df68]
- RMP   [Survey Scores] [] [2014-10-09 22:08:50] [32b17a345b130fdf5cc88718ed94a974]
- RMPD      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-10 17:42:46] [023a69c6c348bca0f1811b046758af62] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
76
119
119
91
138
97
117
125
95
168
109
115
135
130
131
143
109
126
155
136
132
129
129
131
123
131
129
99
114
128
130
112
122
115
124
119
123
91
107
118
111
135
108
143
103
125
127
120
125
126
116
104
113
139
119
112
110
115
111
115
112
109
132
124
103
72
113
125
105
122
127
117
91
143
116
123
101
119
114
108
128
122
133
94
128
108
125
130
112
117
142
128
114
123
89
125
110
112
109
108
139
116
116
88
134
126
101
120
114
116
102
87
115
119
120
66
126
130
126
128
134
131
102
93
129
136
112
120
121
122
136
118
130
114
123
121
119
137
63
140
114
100
101
131
131
129
120
106
147
99
127
99
126
98
120
118
121
121
118
53
121
111
107
100
114
120
132
107
117
110
129
114
121
123
131
122
118
103
108
95
116
131
106
132
124
114
139
106
106
135
106
113
130
132
124
102
96
134
122
152
115
116
141
137
112
140
132
124
105
114
112
113
137
122
121
129
101
138
122
137
134
106
135
109
128
147
100
132
138
114
114
118
104
135
121
128
140
92
116
118
109
139
112
75
109
101
124
117
103
130
136
140
130
118
139
102
118
104
104
111
135
130
77
132
128
136
110
120
126
133
112
103
134
124

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'George Udny Yule' @ yule.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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265531&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265531&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265531&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 time0 seconds
R Server'George Udny Yule' @ yule.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size274
Sample standard deviation15.5200690563824
Confidence0.95
Null hypothesis0
Sample Mean118.467153284672
2-sided Confidence Interval[ 116.621304752551 , 120.313001816792 ]
Left-sided Confidence Interval[ 116.919684589254 , +inf ]
Right-sided Confidence Interval[ -inf, 120.014621980089 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 274 \tabularnewline
Sample standard deviation & 15.5200690563824 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 118.467153284672 \tabularnewline
2-sided Confidence Interval & [ 116.621304752551 , 120.313001816792 ] \tabularnewline
Left-sided Confidence Interval & [ 116.919684589254 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  120.014621980089 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265531&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]274[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]15.5200690563824[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]118.467153284672[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 116.621304752551 , 120.313001816792 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 116.919684589254 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  120.014621980089 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265531&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265531&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 size274
Sample standard deviation15.5200690563824
Confidence0.95
Null hypothesis0
Sample Mean118.467153284672
2-sided Confidence Interval[ 116.621304752551 , 120.313001816792 ]
Left-sided Confidence Interval[ 116.919684589254 , +inf ]
Right-sided Confidence Interval[ -inf, 120.014621980089 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
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')