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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean4.wasp
Title produced by softwareTesting Mean with known Variance - Sample Size
Date of computationMon, 25 Oct 2010 22:04:31 +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/26/t128804417712kobyzof3vdbjb.htm/, Retrieved Sun, 28 Apr 2024 18:32:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88640, Retrieved Sun, 28 Apr 2024 18:32:12 +0000
QR Codes:

Original text written by user:
IsPrivate?This computation is/was private until 2010-10-27
User-defined keywords
Estimated Impact193

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 known Variance - Sample Size] [] [2010-10-25 22:04:31] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-   P     [Testing Mean with known Variance - Sample Size] [ws 4 - Q10] [2010-10-29 11:55:53] [033eb2749a430605d9b2be7c4aac4a0c]
-   P     [Testing Mean with known Variance - Sample Size] [] [2010-11-17 18:46:59] [29e492448d11757ae0fad5ef6e7f8e86]
-   P     [Testing Mean with known Variance - Sample Size] [] [2010-11-18 18:40:37] [adca540665f1dd1a5a4406fd7f55bdf4]
-           [Testing Mean with known Variance - Sample Size] [] [2010-11-18 18:41:10] [adca540665f1dd1a5a4406fd7f55bdf4]
-           [Testing Mean with known Variance - Sample Size] [] [2010-11-18 18:41:10] [adca540665f1dd1a5a4406fd7f55bdf4]
-   P     [Testing Mean with known Variance - Sample Size] [] [2010-11-18 18:40:37] [adca540665f1dd1a5a4406fd7f55bdf4]
-   P     [Testing Mean with known Variance - Sample Size] [] [2010-11-18 18:43:51] [f47feae0308dca73181bb669fbad1c56]
- R       [Testing Mean with known Variance - Sample Size] [] [2011-10-20 16:33:48] [b4c8fd31b0af00c33711722ddf8d2c4c]
- R         [Testing Mean with known Variance - Sample Size] [] [2011-10-20 16:37:44] [b4c8fd31b0af00c33711722ddf8d2c4c]
- R P         [Testing Mean with known Variance - Sample Size] [WS 4 Question 10] [2012-10-23 18:33:57] [04ad92fd38637a2baad7dd3848f865a0]
-   P       [Testing Mean with known Variance - Sample Size] [WS 4 Question 9] [2012-10-23 18:25:55] [04ad92fd38637a2baad7dd3848f865a0]
- R P     [Testing Mean with known Variance - Sample Size] [Week 4 Opdracht 10] [2011-10-23 15:53:10] [d2d464c5b110c95dc0c66eb9ae81f8ec]
- R P     [Testing Mean with known Variance - Sample Size] [question 10] [2011-10-25 17:43:56] [bcad5ea7a7be31884500e96b7abaff18]
- R P     [Testing Mean with known Variance - Sample Size] [] [2012-10-05 17:56:12] [8fcd082199f7dbedf65d69a953eb5ad7]
- R P     [Testing Mean with known Variance - Sample Size] [jg] [2012-10-08 15:04:20] [b6dc7003e7767578f97246d87c77862e]
- RMP     [Testing Mean with known Variance - Sample Size] [] [2012-10-08 15:12:52] [74be16979710d4c4e7c6647856088456]
- R P     [Testing Mean with known Variance - Sample Size] [Vraag 10] [2012-10-08 17:56:05] [bc2c61a583a6186666a33616ccc196e4]
- R P     [Testing Mean with known Variance - Sample Size] [paper minimum sam...] [2012-12-04 11:57:35] [1edfe4f7de973a74350ac08c1294a22c]
- RMP     [Testing Mean with known Variance - Sample Size] [] [2012-12-12 15:07:28] [07135448e3e28ff93d39332c64d7f130]
- R P     [Testing Mean with known Variance - Sample Size] [] [2012-12-15 20:18:50] [147786ccb76fa00e429d4b9f5f28b291]
- R P     [Testing Mean with known Variance - Sample Size] [minimum sample size] [2012-12-18 19:37:05] [2c4ddb4bf62114b8025bb962e2c7a2b5]
- R P     [Testing Mean with known Variance - Sample Size] [Ws 4 vraag 9 ] [2013-10-27 20:11:51] [16ce55620e4b91ec00a4b56aea2a2582]
- R P     [Testing Mean with known Variance - Sample Size] [WS 4 Question 10] [2013-10-29 10:24:36] [74be16979710d4c4e7c6647856088456]
- R P     [Testing Mean with known Variance - Sample Size] [] [2013-10-30 16:40:06] [22b6f4a061c8797aa483199554a73d13]
- RMP     [Testing Mean with known Variance - Sample Size] [] [2014-10-07 08:44:52] [32b17a345b130fdf5cc88718ed94a974]
- RMP       [Minimum Sample Size - Testing Mean] [] [2014-10-22 08:23:22] [2b9d0c54c8c845c625e475ed5f1f3af1]
-           [Testing Mean with known Variance - Sample Size] [] [2014-10-22 10:55:59] [784816b0c716a476fc48ddde921cf7ea]
-           [Testing Mean with known Variance - Sample Size] [] [2014-10-22 11:02:02] [784816b0c716a476fc48ddde921cf7ea]
-   P       [Testing Mean with known Variance - Sample Size] [Q10] [2014-10-22 11:38:21] [673773038936aef3a5778d7e6bda5c1e]
- RMP       [Minimum Sample Size - Testing Mean] [q11] [2014-10-22 11:43:17] [673773038936aef3a5778d7e6bda5c1e]
-           [Testing Mean with known Variance - Sample Size] [] [2014-10-22 12:17:52] [40df8d8b5657a9599acc6ccced535535]
- RMP       [Minimum Sample Size - Testing Mean] [] [2014-10-22 12:18:52] [40df8d8b5657a9599acc6ccced535535]
-   P       [Testing Mean with known Variance - Sample Size] [TASK 10] [2014-10-22 13:25:51] [2ba32e9656c7c3fdddad3ba3f1588288]
-   P       [Testing Mean with known Variance - Sample Size] [] [2014-10-22 13:45:42] [d253a55552bf9917a397def3be261e30]
-           [Testing Mean with known Variance - Sample Size] [Vraag 10] [2014-10-22 13:53:27] [36781f05c04c55e165b348994b753b95]
- RM        [Minimum Sample Size - Testing Mean] [vraag 11] [2014-10-22 13:54:39] [36781f05c04c55e165b348994b753b95]
- RMP       [Minimum Sample Size - Testing Mean] [] [2014-10-22 13:54:31] [d253a55552bf9917a397def3be261e30]
- R P       [Testing Mean with known Variance - Sample Size] [] [2014-10-22 13:57:46] [c2c160edf30e228bd3a949bf24376c2c]
- RMPD      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:02:28] [c2c160edf30e228bd3a949bf24376c2c]
- RMPD      [Testing Mean with unknown Variance - Critical Value] [] [2014-10-22 14:06:09] [c2c160edf30e228bd3a949bf24376c2c]
- R P       [Testing Mean with known Variance - Sample Size] [] [2014-10-22 14:09:22] [c2c160edf30e228bd3a949bf24376c2c]
- RM        [Minimum Sample Size - Testing Mean] [WS 4 Vraag 11] [2014-10-22 14:20:30] [36781f05c04c55e165b348994b753b95]
-           [Testing Mean with known Variance - Sample Size] [WS4 vraag 10] [2014-10-22 14:30:16] [36781f05c04c55e165b348994b753b95]
-  M        [Testing Mean with known Variance - Sample Size] [] [2014-10-22 14:40:47] [b2fe7fef0850359c2a41ad606a8f04c2]
-  M        [Testing Mean with known Variance - Sample Size] [] [2014-10-22 14:51:54] [ae96d02647dd9ad9c105f1fa6642e295]
- RMP       [Minimum Sample Size - Testing Mean] [] [2014-10-22 14:58:14] [ae96d02647dd9ad9c105f1fa6642e295]
-           [Testing Mean with known Variance - Sample Size] [WS4 SHW] [2014-10-22 15:09:50] [cac6c5fb035463be46c296b46e439cb5]
-   P       [Testing Mean with known Variance - Sample Size] [WS4 Q10] [2014-10-22 15:12:55] [bcf5edf18529a33bd1494456d2c6cb9a]

[Truncated]
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Dataset

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' @ 72.249.76.132

\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' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88640&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88640&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88640&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' @ 72.249.76.132






Testing Mean with known Variance
population variance13
null hypothesis about mean20
alternative hypothesis about mean21
type I error0.05
type II error0.15
sample size93.4609008392543

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
population variance & 13 \tabularnewline
null hypothesis about mean & 20 \tabularnewline
alternative hypothesis about mean & 21 \tabularnewline
type I error & 0.05 \tabularnewline
type II error & 0.15 \tabularnewline
sample size & 93.4609008392543 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88640&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]population variance[/C][C]13[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]20[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]21[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]type II error[/C][C]0.15[/C][/ROW]
[ROW][C]sample size[/C][C]93.4609008392543[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88640&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88640&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:

Testing Mean with known Variance
population variance13
null hypothesis about mean20
alternative hypothesis about mean21
type I error0.05
type II error0.15
sample size93.4609008392543


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 63 ; par2 = 14 ; par3 = 13 ; par4 = 0.35 ;
Parameters (R input):
par1 = 13 ; par2 = 20 ; par3 = 21 ; par4 = 0.05 ; par5 = 0.15 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
par5<-as.numeric(par5)
c <- 'NA'
csn <- abs(qnorm(par5))
if (par2 == par3)
{
conclusion <- 'Error: the null hypothesis and alternative hypothesis must not be equal.'
}
ua <- abs(qnorm(par4))
ub <- qnorm(par5)
c <- (par2+ua/ub*(-par3))/(1-(ua/ub))
sqrtn <- ua*sqrt(par1)/(c - par2)
samplesize <- sqrtn * sqrtn
ua
ub
c
sqrtn
samplesize
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm','Testing Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'population variance',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'null hypothesis about mean',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alternative hypothesis about mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type I error',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type II error',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm#ex4','sample size','example'),header=TRUE)
a<-table.element(a,samplesize)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')