Statistics How To

The TI 83 graphing calculator can help you figure out just about every confidence interval problem you come across in elementary statistics. The only difference between having “Stats” (statistics such as mean, or standard deviation) or “Data” (the actual raw, data), is that you will have to enter the data into a list in order to perform the calculation. If you don’t know how to enter the data is entered into a list, you can find the information in this article on cumulative frequency tables.
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The TI-89 is a powerful graphing calculator that can help you in your elementary statistics class. The TI-89 Titanium has a built in Stats/List editor (if you don’t have it on yours, you can download it for free here). In the Stats/List editor, you can enter the number of times an event occurs, plug in a probability, and get the mean and standard deviation a millisecond later.
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The TI-89 calculator can help you make graphs and bar charts, calculate probabilities, and perform a wide array of statistics calculations. There are two options of the calculator for figuring out binomial distributions on the TI-89: The BinomialCdf will calculate multiple values for X (for example, less or greater than a certain number, or between two x-values). If you only have one x-value, see this article on using BinomPdf on the TI-89 for one value.
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When n * p and p * q are greater than 5, you can use the normal approximation to solve a binomial distribution problem. This article shows you how to solve those types of problem using the continuity correction factor.
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A continuity correction factor is used when you use a continuous function to approximate a discrete one; when you use a normal distribution table to approximate a binomial, you’re going to have to use a continuity correction factor. It’s as simple as adding or subtracting .5: use the following table to decide whether to add or subtract.
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The binomial  formula can calculate the probability of success for binomial distributions. Often you’ll be told to “plug in” the numbers to the formula and calculate. This is easy to say, but not so easy to do–unless you are very careful with order of operations, you won’t get the right answer. If you have a Ti-83 or Ti-89, the calculator can do much of the work for you. If not, here’s how to break down the problem into simple steps so you get the answer right–every time.
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The binomial distribution calculator on this site can help you solve bimomial problems without using tables or lengthy equations.

• For the first box (p), enter the probability of success in a trial as a decimal. This may be given to you as a percentage (i.e. 80% of respondents…), or you may be given a word problem that you need to convert to a decimal (i.e. a multiple choice test with four answers would have a .25 probability of a right answer each time you guessed).
• In the second box, enter the number of trials (n).
• The next two boxes, X1 and X2, … Continue Reading
  

The binomial  formula–used to calculate the probability of success for binomial distributions–isn’t the easiest of formulas to work . If you use a Ti-83 or Ti-89, much of the work is done for you. However, if you don’t own one, here are the simple steps you should follow to get the answer right every time.  
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Probably the easiest way to solve one type of binomial distribution problem is to look the answer up in the binomial distribution table. The binomial distribution table on this site gives you the probabilities for less than or equal to a certain n.
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Determining if a question concerns a binomial experiment involves asking yourself four questions about the problem. It’s as simple as that!
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