::Free Statistics and Forecasting Software::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) computes the Type II Error for the one-sided hypothesis test about the mean. In this test it is assumed that the population variance is known.

Click here to edit the underlying code of this R Module.

Send output to:

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Sample size

Population Variance

Sample Mean

Null Hypothesis about mean

Type I error (alpha)

Alternative Hypothesis about mean

Click here to edit the underlying code of this R Module.

---

Source code of R module
1	par1<-as.numeric(par1)
2	par2<-as.numeric(par2)
3	par3<-as.numeric(par3)
4	par4<-as.numeric(par4)
5	par5<-as.numeric(par5)
6	par6<-as.numeric(par6)
7	c <- "NA"
8	csn <- abs(qnorm(par5))
9	if (par3 == par4)
10	{
11	conclusion <- "Error: the null hypothesis and sample mean must not be equal."
12	}
13	if (par3 > par4)
14	{
15	c <- par4 + csn * sqrt(par2) / sqrt(par1)
16	}
17	if (par3 < par4)
18	{
19	c <- par4 - csn * sqrt(par2) / sqrt(par1)
20	}
21	p <- pnorm((c - par6) / (sqrt(par2/par1)))
22	p
23	load(file="createtable")
24	a<-table.start()
25	a<-table.row.start(a)
26	a<-table.element(a,hyperlink("http://www.xycoon.com/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)
27	a<-table.row.end(a)
28	a<-table.row.start(a)
29	a<-table.element(a,"sample size",header=TRUE)
30	a<-table.element(a,par1)
31	a<-table.row.end(a)
32	a<-table.row.start(a)
33	a<-table.element(a,"population variance",header=TRUE)
34	a<-table.element(a,par2)
35	a<-table.row.end(a)
36	a<-table.row.start(a)
37	a<-table.element(a,"sample mean",header=TRUE)
38	a<-table.element(a,par3)
39	a<-table.row.end(a)
40	a<-table.row.start(a)
41	a<-table.element(a,"null hypothesis about mean",header=TRUE)
42	a<-table.element(a,par4)
43	a<-table.row.end(a)
44	a<-table.row.start(a)
45	a<-table.element(a,"type I error",header=TRUE)
46	a<-table.element(a,par5)
47	a<-table.row.end(a)
48	a<-table.row.start(a)
49	a<-table.element(a,"alternative hypothesis about mean",header=TRUE)
50	a<-table.element(a,par6)
51	a<-table.row.end(a)
52	a<-table.row.start(a)
53	a<-table.element(a,hyperlink("http://www.xycoon.com/ht_mean_knownvar.htm#ex3","Type II Error","example"),header=TRUE)
54	a<-table.element(a,p)
55	a<-table.row.end(a)
56	a<-table.end(a)
57	table.save(a,file="mytable.tab")

Cite this software as:

Wessa P., (2008), Testing Mean with known Variance (type II error) (v1.0.3) in Free Statistics Software (v1.1.23-r6), Office for Research Development and Education, URL http://www.wessa.net/rwasp_hypothesismean3.wasp/

The R code is based on :

Xycoon, Statistics - Econometrics - Forecasting, Office for Research Development and Education, http://www.xycoon.com/ht_mean_knownvar.htm#ex3

To cite Wessa.net in publications use:
Wessa, P. (2010), Free Statistics Software, Office for Research Development and Education,
version 1.1.23-r6, URL http://www.wessa.net/

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Software Version : 1.1.23-r6
Algorithms & Software : Prof. dr. P. Wessa
Facilities : Resa R&D - Office for Research, Development, and Education
Server : www.wessa.net

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