 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
ssrs export to pdf barcode font Sampling Theory in Software
CHAPTER 5 Sampling Theory QR Code Recognizer In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Denso QR Bar Code Generator In None Using Barcode creator for Software Control to generate, create QR Code image in Software applications. This problem is closely related to Problem 5.8. Here we consider 500 samples, of size 120 each, from the infinite population of all possible tosses of a coin. (a) Part (a) of Problem 5.8 states that of all possible samples, each consisting of 120 tosses of a coin, we can expect to find 97.74% with a percentage of heads between 40% and 60%. In 500 samples we can expect to find about 97.74% of 500, or 489, samples with this property. It follows that about 489 people would be expected to report that their experiment resulted in between 40% and 60% heads. It is interesting to note that 500 489 11 people would be expected to report that the percentage of heads was not between 40% and 60%. These people might reasonably conclude that their coins were loaded, even though they were fair. This type of error is a risk that is always present whenever we deal with probability. (b) By reasoning as in (a), we conclude that about (500)(0.0040) their tosses resulted in heads. 2 persons would report that 8 or more of Scanning QR In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Quick Response Code Generator In C#.NET Using Barcode creation for VS .NET Control to generate, create QR Code image in .NET framework applications. 5.10. It has been found that 2% of the tools produced by a certain machine are defective. What is the probability that in a shipment of 400 such tools, (a) 3% or more, (b) 2% or less will prove defective Making QRCode In .NET Framework Using Barcode encoder for ASP.NET Control to generate, create QR Code JIS X 0510 image in ASP.NET applications. QR Code Generator In .NET Using Barcode generator for Visual Studio .NET Control to generate, create QR Code image in VS .NET applications. mP p 0.02 and sP pq An A 1>800 0.03 0.02(0.98) 400 0.14 20 0.007 Painting QR Code 2d Barcode In Visual Basic .NET Using Barcode encoder for Visual Studio .NET Control to generate, create QR Code ISO/IEC18004 image in VS .NET applications. Data Matrix Drawer In None Using Barcode creator for Software Control to generate, create DataMatrix image in Software applications. (a) Using the correction for discrete variables, 1>2n (0.03 0.00125) in standard units
Generate Code128 In None Using Barcode generation for Software Control to generate, create USS Code 128 image in Software applications. EAN13 Generator In None Using Barcode generation for Software Control to generate, create GTIN  13 image in Software applications. 0.00125, we have 0.02 1.25) 1.25 0.1056 UPC A Encoder In None Using Barcode generator for Software Control to generate, create UPCA image in Software applications. Barcode Encoder In None Using Barcode drawer for Software Control to generate, create barcode image in Software applications. Required probability
Creating USD3 In None Using Barcode drawer for Software Control to generate, create ANSI/AIM Code 93 image in Software applications. Decoding Code 128B In VB.NET Using Barcode reader for VS .NET Control to read, scan read, scan image in VS .NET applications. 0.00125 0.007 (area under normal curve to right z
Recognize Code 128 Code Set A In C#.NET Using Barcode recognizer for VS .NET Control to read, scan read, scan image in VS .NET applications. European Article Number 13 Maker In ObjectiveC Using Barcode generator for iPad Control to generate, create EAN13 image in iPad applications. If we had not used the correction we would have obtained 0.0764. Another method (3% of 400) 12 defective tools. On a continuous basis, 12 or more tools means 11.5 or more. m (2% of 400) 8 (11.5 s !npq !(400)(0.02)(0.98) 2.8 UPCA Supplement 5 Creation In ObjectiveC Using Barcode printer for iPhone Control to generate, create UPCA Supplement 5 image in iPhone applications. UPCA Maker In ObjectiveC Using Barcode creator for iPad Control to generate, create UPCA image in iPad applications. Then, 11.5 in standard units (b) (0.02 GS1  13 Maker In .NET Using Barcode creation for ASP.NET Control to generate, create EAN13 image in ASP.NET applications. ECC200 Printer In Visual Basic .NET Using Barcode creator for .NET Control to generate, create DataMatrix image in Visual Studio .NET applications. 8)>2.8
1.25, and as before the required probability is 0.1056. 0.02 0.00125 0.007 0.02 0.18) 0.18 0.00125) in standard units
Required probability
(area under normal curve to left of z 0.5000 0.0714 0.5714
If we had not used the correction, we would have obtained 0.5000. The second method of part (a) can also be used. 5.11. The election returns showed that a certain candidate received 46% of the votes. Determine the probability that a poll of (a) 200, (b) 1000 people selected at random from the voting population would have shown a majority of votes in favor of the candidate. (a) mP p 0.46 and sP pq An 0.46(0.54) B 200 0.0352
Since 1>2n 1>400 0.0025, a majority is indicated in the sample if the proportion in favor of the candidate is 0.50 0.0025 0.5025 or more. (This proportion can also be obtained by realizing that 101 or more indicates a majority, but this as a continuous variable is 100.5; and so the proportion is 100.5>200 0.5025.) Then, 0.5025 in standard units (0.5025 0.46)>0.0352 1.21 and Required probability (area under normal curve to right of z 0.5000 0.3869 0.1131 1.21) CHAPTER 5 Sampling Theory
(b) mP 0.46, sP !pq>n !0.46(0.54)1000 0.0158, and 2.69 2.69) 0.5025 in standard units Required probability
0.5025 0.46 0.0158 (area under normal curve to right of z 0.5000 0.4964 0.0036
Sampling distributions of differences and sums 5.12. Let U1 be a variable that stands for any of the elements of the population 3, 7, 8 and U2 a variable that stands for any of the elements of the population 2, 4. Compute (a) mU1, (b) mU2, (c) mU1 U2, (d) sU1, (e) sU2, (f) sU1 U2. (a) mU1 mean of population U1 1 (3 3 1 (2 2 7 8) 6 mean of population U2
(c) The population consisting of the differences of any member of U1 and any member of U2 is 3 3 Then mU1 2 4 7 7 2 4 8 8 U2) 2 4 1 or 5
1 1 6 6 4 ( 1) 6 3 4 3 mean of (U1
which illustrates the general result mU1
as is seen from (a) and (b). 6)2 (7 3 6)2 (8 6)2 14 3 (d) or sU1 (e) or sU2 (f) s2 1 U 1.
s2 1 U 14 . A3
variance of population U1
s2 2 U
variance of population U2
3)2 2 variance of population (U1 (1 3)2 (5 3)2 (6 U2) 3)2 6 ( 1 3)2 (3 3)2 (4 3)2 17 3

