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To finish things up, let s add a few refinements. Your shiny new application doesn t save files with any extension, doesn t have a useful About box, and doesn t have an application icon. How about addressing these shortcomings Let s take a look at the icon and extension first. In Xcode, find the file Text_PalInfo.plist. You can either edit this file in the Editor pane or double-click it to bring it up in a separate window. This plist allows you to set options such as icons, file extensions, and formats. If you want to add an icon file to your application, you need a .icns file. You will be learning how to create these from scratch later in the book, so for now let s just grab one from an existing application. A good one to use is the Edit.icns file that is supplied as part of the example TextEdit project (look in /Developer/Examples/TextEdit/). Drag this file into the Xcode Workspace and drop it in the Resources folder. When the dialog pops up, check the option to copy the item into the folder and click Add. Now configure the plist to know about the icon. Look in the plist for the Icon file entry. In the adjacent box, type Edit.icns (there is no picker control for some reason, so make sure you type this correctly). Try Build and Run, and you will see the application icon in the Dock (see Figure 3 22).

A Normal distribution (also called a Gaussian distribution) is a bell-shaped distribution defined by the probability density function

If the random variable X follows a normal distribution, then: 0 The probability that X will fall into the interval (a, 6 ) is given by

American Society of Journalists & Authors Staff Tools of the Trade: Successful Writers Tell All About the Equipment & Services They Find the Best New York: HarperCollins, 1990 American Psychological Association Publication Manual of the American Psychological Association 4th ed Washington, DC: American Psychological Association, 2001 Brown, Bill Wesley Successful Technical Writing South Holland, IL: The Goodheart-Wilcox Co, Inc, 2000 The CBE Manual for Authors and Publishers Scientific Style and Format 6th ed Cambridge, MA: Cambridge University, 1999 Crewes, Frederick The Random House Handbook New York: McGraw-Hill, Inc, 1992 DeBries, Mary A Prentice Hall Style Manual Englewood Cliffs, NJ: Prentice Hall, 1992 Dodd, Janet S, and Marianne C Brogan The ACS Style Guide: A Manual for Authors and Editors Washington, DC: American Chemical Society, 1997

Now for an extension. Let s make Text Pal save files with a .txtp extension. In the plist, open the Document types item. Within this, set the Item 0 / CFBundleTypeExtensions/Item 0 value to txtp , the Icon File Name value to Edit.icns (to specify the icon for documents as distinct from the application icon it just happens that we are using the same icon here), and the Document Type Name to TextPal Document (Figure 3 23).

The Central Limit Theorem (Section 541) states that the sum of a large number of independent, identically distributed random variables follows a distribution that is approximately Normal TABLE 54 The Normal or Gaussian distribution

mean p and standard deviation a For large n, any Binomial distribution is very closely approximated by a Normal distribution with the same mean and variance One reason that we prefer to work with the Normal distribution is that most statistics references give tables specifying the size of the interval about the mean that contains N% of the probability mass under the Normal distribution This is precisely the information needed to calculate our N% confidence interval In fact, Table 51 is such a table The constant ZN given in Table 51 defines the width of the smallest interval about the mean that includes N% of the total probability mass under the bell-shaped Normal distribution More precisely, ZN gives half the width of the interval (ie, the distance from the mean in either direction) measured in standard deviations Figure 5l(a) illustrates such an interval for z80 To summarize, if a random variable Y obeys a Normal distribution with mean p and standard deviation a , then the measured random value y of Y will fall into the following interval N% of the time

To create the About box, find the entry in the Detail panel for Credits.rtf. This is a simple rich text format file. You can edit this in the Editor panel, or even open it in TextEdit if you want more control over layout, fonts, and so on. Try adding your own text and styles to this document. Save it when you have finished. Your application is complete. Build and Run for a final workout. Wow! Just look at what you have created: a simple word processor that can read and write sophisticated documents with images, styled text, rulers, tabs, and a variety of text alignments. The program has an About box, application and document icons, and your own custom file extensions. It has access to the standard Fonts and Colors settings panels and even to built-in Mac OS X features such as the spellchecker and the Help system (Figure 3 24).

We can easily combine this fact with earlier facts to derive the general expression for N% confidence intervals for discrete-valued hypotheses given in Equation (51) First, we know that errors(h)follows a Binomial distribution with mean value e r r o r ~ ( hand standard deviation as given in Equation (59) Second, ) we know that for sufficiently large sample size n, this Binomial distribution is well approximated by a Normal distribution Third, Equation (51 1) tells us how to find the N% confidence interval for estimating the mean value of a Normal distribution Therefore, substituting the mean and standard deviation of errors(h) into Equation (51 1) yields the expression from Equation (51) for N% confidence