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Sample problem: The there are 250 dogs at a dog show who weigh an average of 12 pounds, with a standard deviation of 8 pounds. If 4 dogs are chosen at random, what is the probability they have an average weight of greater than 8 pounds and less than 25 pounds?
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Hypothesis testing on the TI-89 titanium graphing calculator takes away the tedium of the calculations, allowing you to concentrate on the meaning of the testing. You will usually be testing an alternate hypothesis. For example, you think that average weights have gone up or down and you want to test your new hypothesis. It’s important that you understand and state the hypothesis, because otherwise the results (even from a calculator), have no meaning.
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A normal approximation to the binomial can be used when we have a large enough sample size. In statistics mumbo-jumbo, they say that if n × p and n × (1 – p) are greater than 10, then you can use the normal approximation to the binomial. What this means to you (when solving homework problems) is that if you have a large sample size, or if the question “hints” at a normal approximation, then you can use this technique on the TI-89.
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This how-to covers solving the Central Limit Theorem word problems that contain the phrase “less than” (or a similar phrase such as “lower”). For other problems, as well as a description of what a CLT problem is, see the Central Limit Theorem problem Index.
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This how-to covers solving the Central Limit Theorem word problems that contain the phrase “greater than” (or a similar phrase such as “above”). For other problems, as well as a description of what a CLT problem is, see the Central Limit Theorem problem Index.
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A Central Limit Theorem word problem will most likely contain the phrase “assume the variable is normally distributed”, or one like it. You will be given:
Feel like cheating at statistics? 