The critical region for H0: 50 and n 10. in .NET

Generate QR Code 2d barcode in .NET The critical region for H0: 50 and n 10.
The critical region for H0: 50 and n 10.
QR Code encoding for .net
generate, create qr code none on .net projects
CHAPTER 9 TESTS OF HYPOTHESES FOR A SINGLE SAMPLE
decode qr code iso/iec18004 with .net
Using Barcode reader for .net vs 2010 Control to read, scan read, scan image in .net vs 2010 applications.
From inspection of Fig. 9-2, notice that we can reduce by widening the acceptance region. For example, if we make the critical values 48 and 52, the value of is P aZ 48 50 b P aZ 0.79 0.0057 0.0057 0.0114 52 50 b 0.79 P1Z 2.532 1n P1Z 2.5 116 2.532
Barcode printer for .net
using barcode generation for vs .net control to generate, create barcode image in vs .net applications.
We could also reduce by increasing the sample size. If n 16, 0.625, and using the original critical region from Fig. 9-1, we nd z1 Therefore P1Z 2.402 P1Z 2.402 0.0082 0.0082 48.5 50 0.625 2.40 and z2 51.5 50 0.625
Bar Code barcode library on .net
use .net vs 2010 crystal bar code creation toconnect barcode for .net
In evaluating a hypothesis-testing procedure, it is also important to examine the probability of a type II error, which we will denote by . That is,
Connect qr-codes with c#.net
generate, create qr code iso/iec18004 none on .net c# projects
P(type II error)
Control qr code image with .net
using barcode printer for asp.net web forms control to generate, create qr barcode image in asp.net web forms applications.
P(fail to reject H0 when H0 is false)
Control denso qr bar code image for visual basic
using barcode implement for vs .net control to generate, create qr-codes image in vs .net applications.
(9-4)
Barcode Code 128 printing for .net
using .net framework crystal toincoporate code 128 for asp.net web,windows application
To calculate (sometimes called the -error), we must have a speci c alternative hypothesis; that is, we must have a particular value of . For example, suppose that it is important to reject the null hypothesis H0: 50 whenever the mean burning rate is greater than 52 centimeters per second or less than 48 centimeters per second. We could calculate the probability of a type II error for the values 52 and 48 and use this result to tell us something about how the test procedure would perform. Speci cally, how will the test procedure work if we wish to detect, that is, reject H0, for a mean value of 52 or 48 Because of symmetry, it is necessary only to evaluate one of the two cases say, nd the probability of accepting the null hypothesis H0: 50 centimeters per second when the true mean is 52 centimeters per second. Figure 9-3 will help us calculate the probability of type II error . The normal distribution on the left in Fig. 9-3 is the distribution of the test statistic X when the null hypothesis 50 is true (this is what is meant by the expression under H0: 50 ), and the norH0: mal distribution on the right is the distribution of X when the alternative hypothesis is true and the value of the mean is 52 (or under H1: 52 ). Now a type II error will be committed if the sample mean X falls between 48.5 and 51.5 (the critical region boundaries) when 52. As seen in Fig. 9-3, this is just the probability that 48.5 X 51.5 when the true mean is 52, or the shaded area under the normal distribution on the right. Therefore, referring to Fig. 9-3, we nd that P148.5 X 51.5 when 522
2D Barcode barcode library on .net
generate, create 2d matrix barcode none in .net projects
9-1 HYPOTHESIS TESTING
Barcode Pdf417 integrating for .net
using barcode integration for .net vs 2010 control to generate, create pdf417 image in .net vs 2010 applications.
0.6 0.5 Probability density 0.4 0.3 0.2 0.1 0 46 Under H0: = 50 Under H1: = 52 Probability density 0.6 0.5 0.4 0.3 0.2 0.1 0 46 Under H0: = 50 Under H1: = 50.5
Gs1128 barcode library on .net
using barcode integration for .net vs 2010 crystal control to generate, create gtin - 128 image in .net vs 2010 crystal applications.
50 x
.net Framework standard 2 of 5 generating with .net
use vs .net barcode 25 integrating tocompose barcode 2 of 5 with .net
50 x
Control denso qr bar code data with java
denso qr bar code data in java
Figure 9-3 The probability of type II error when 52 and n 10.
Control code 39 extended size in java
to make bar code 39 and uss code 39 data, size, image with java barcode sdk
Figure 9-4 The probability of type II error when 50.5 and n 10.
Control code39 image for vb
generate, create code 3/9 none on vb projects
The z-values corresponding to 48.5 and 51.5 when z1 Therefore P 1 4.43 Z 0.632 P 1Z 0.2643 0.0000 0.2643 48.5 52 0.79 4.43 and z2
Qr Codes barcode library in microsoft word
generate, create denso qr bar code none in word documents projects
52 are 51.5 52 0.79 0.63
Control barcode pdf417 data for .net
to render pdf417 and pdf-417 2d barcode data, size, image with .net barcode sdk
P 1Z
Thus, if we are testing H0: 50 against H1: 50 with n 10, and the true value of the mean is 52, the probability that we will fail to reject the false null hypothesis is 0.2643. By symmetry, if the true value of the mean is 48, the value of will also be 0.2643. The probability of making a type II error increases rapidly as the true value of approaches the hypothesized value. For example, see Fig. 9-4, where the true value of the mean is 50.5 and the hypothesized value is H0: 50. The true value of is very close to 50, and the value for is P 148.5 X 51.5 when 50.52 50.5 are 1.27
ANSI/AIM Code 39 integrating for .net
use reporting service 2008 3 of 9 barcode creation toget code 39 extended on .net
As shown in Fig. 9-4, the z-values corresponding to 48.5 and 51.5 when z1 Therefore P1 2.53 Z 1.272 P1Z 0.8980 0.0057 0.8923 1.272 P1Z 48.5 50.5 0.79 2.53 and z2 51.5 50.5 0.79
Control code39 size with excel
to generate barcode 3/9 and 3 of 9 data, size, image with excel barcode sdk
Thus, the type II error probability is much higher for the case where the true mean is 50.5 centimeters per second than for the case where the mean is 52 centimeters per second. Of course,