Self-Paced Calculator Practice for Stats.pdf

# Practice 7 bottles of soda from a factory are filled

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Practice 7: Bottles of soda from a factory are filled to a mean of 12.1 oz with a standard deviation of .1 oz. What is the probability that a random bottle will be filled with between 12 and 12.5 oz of soda? What is the chance it will be less than 12 oz? Hint: for the second part, use a very negative number as the bottom of the range. Inverse Normal Distribution Using the inverse normal distribution works the same as the normal distribution but in reverse. For example, the normal distribution can tell you what proportion of men are shorter than 55 inches. The inverse can tell you the height that 90% of men are shorter than. Assume as above that the average height is 60 and the

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standard deviation is 4. Use 2ND, DISTR, and then select 3:invNorm(. Fill in .9,60,4). 90% of men would be shorter than 65 inches according to our assumed mean and standard deviation. Practice 8: Assume a mean of 60 and a standard deviation of 4. What height are only 10% of men shorter than? Tests and Intervals Statistical tests and confidence intervals are located in the same menu. Push the STAT button and then move right to the TESTS section. A statistical test will allow you to verify the truth of a claim. A confidence interval is an estimate of a value. Most problems that require an interval will specifically use that word in the question. Choose Z-Test from the menu.
Tests have a choice of ‘Data’ or ‘Stats’. Pick data if you are going to enter numbers into a STAT, 1:Edit column. Choose stats if you are going to enter summary statistics from the problem. Select stats now. Enter mean and standard deviation on the next two lines. For this example, enter 50 and 10. Next, x-bar will be 45, and n is 22. Finally, choose < from the options at the bottom. Highlight ‘Calculate’ and press ENTER. The p value tells you the probability that the sample might occur assuming the true mean is 50. You will learn much more about this in class, but it is helpful to become familiar with entering this information into the calculator. Next, go to STAT, TESTS, 7:ZInterval. The numbers you entered during the last example will already be present. Select calculate.

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There is a 95% confidence that the true value is between 40.8 and 49.2. Try out some other options on the STAT, TESTS menu. They work in a similar way. Additional Resources There are many helpful videos and other examples available. The addresses below will allow you to practice further. rial/studycard_gc_videolaunch.html s/gcm/ast3e_gcm_manual.html ml
Answers to Practice Questions Practice 1) Practice 2) Practice 3)

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Practice 4) Practice 5) Practice 6)
Practice 7) Practice 8)
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