# TI83_3 - ARME 210 A Beginners Guide to Statistics on the...

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ARME 210 A Beginner’s Guide to Statistics on the TI-83 Calculator Part III Hypothesis Testing for One Population Mean when the Population Standard Deviation is Known (z-test) When the population standard deviation is known, z – statistics can be used in order to test the hypothesis around a certain population mean using the evidence from a sample. The TI-83 can do this either directly from the data entered into the calculator or from the summary statistics (when you have the sample mean, and the number in the sample). Method for Entered Data 1. Enter the sample data into a list, e.g. L 1 , as previously instructed. 2. Press STAT and arrow over to the TEST menu. Then select ‘1:Z-test’ and press ENTER. 3. Highlight ‘Data’ and press ENTER. 4. Now enter the level of μ 0 you are testing against and press ENTER 5. Enter the population standard deviation σ and press ENTER 6. Name the list your data is stored in, e.g. L 1 , and press ENTER 7. Leave ‘Freq:’ as 1. 8. Highlight the alternative hypothesis around which you are testing, e.g. for μ 0 <800 you would enter < μ 0 , then press ENTER. (This can be rather confusing but just remember that you should pick the exact same sign, as you look at it, as in the alternative hypothesis. 9. Highlight CALCULATE and press ENTER. Results You will now have on the Alternative Hypothesis, the calculated z, the calculated p – value, the mean and standard deviation of the sample and the number data points in the sample. Method for Summary Statistics 1. Select the ‘Z-test’ as before but, this time, highlight ‘Stats’ and press ENTER 2. The screen should now change from what you had before so enter the M 0 value around which you want to test, the population standard deviation, the mean of the sample, the number of data points in the sample and ,again, the sign that is present within the alternative hypothesis. 3. As before highlight ‘Calculate’ and press ENTER

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2 4. The screen will look almost exactly the same as before, except that the sample standard deviation will not be given due to the TI-83 not using the data list. Hypothesis Testing for One Population Mean when there is a Small Sample and the Population Standard Deviation is Unknown (t-test) When the population standard deviation is unknown and the sample size is small (n<30) then it is appropriate to use t –statistics in order to test Hypotheses about the population mean (assuming that the underlying population is normal). Methods
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## This note was uploaded on 05/13/2010 for the course ECON 323 taught by Professor Jakes during the Spring '10 term at Alcorn State.

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TI83_3 - ARME 210 A Beginners Guide to Statistics on the...

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