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Unformatted text preview: STA 2023, TCC 'Titc “GAME PLAN H ﬁr Tue, l/2’5/tt
Kinard t/ Before doing this lesson, write down your best guess for what would be the standard deviation, in
inches, of the heights of college females. Go ahead, take your best guess. Record it now. Go over the basics of the Empirical Rule from your textbook. (My class has seen most of this.) —— Then, read example 15 on pages 6] — 63 of AgrestilFranklin. Here are a few examples that can be used to practice using The Empirical Rule. 1 encourage you all to
draw and label the bell curve as you think through these examples. Do the work in your notebook. . ,___ 7C mm. 1. My travel times . from home vary. Oréveri/ge; it takes m The standard
deviation is abou w The histogram from my sample of have times is approximately bell
Shaped 9 "tap. a. Draw a picture of the distribution, labeling the mean and the first three standard deviations above
and below the mean alorig a number line below the bell curve. b. Approximately what percentage of the time do I get to work in 18 to 30 minutes?
0. Approximately what percentage of the time can I get to work in less than 20 minutes?
d. How often does it take me more than 20 minutes? 2. From Agresti/Franklin, #252: A sample of male UGA students had an average height of "i1 inches
and standard deviation of 3 inches. A sample of female UGA students had an average height of 65
inches and standard deviation of 3 inches. The distributions are both approximately bellshaped. 3. Draw a picture of the distribution, labeling the mean and the ﬁrst three standard deviations above
and below the mean along a number line below the bell curve. b. Approximately what percentage of the men were more than 74 inches tall?
c. What heights enclose the middle 95% of the men’s heights? d. The standard deviation for the combined data set of men and women together has a standard
deviation of 4. Why is it larger than the standard deviation for each distribution separately? 3. Suppose we have limited information about a variable and wish to estimate the standard deviatiori. If
we know the distribution is approximately bellshaped and know the range of its values, we can
estimate the standard deviation by using range divided by six. Look. at the drawings you have made. The locations of the 3rd standard deviation above and below the mean are not the maximum and
minimum data values. There could be a very few rare data values further away from the average. We
call them outliers. Anyway, take the women’s heights from Example 15. The text reports that the minimum female height
in the sample was 56 inches and the maximum was 77 inches. The histogram shows roughly a bell
shaped distribution. Use ranget'6 to estimate the standard deviation. Record your result. Compare it to the actual standard deviation reported in the text. Compare both to your “best guess.” from the beginning of class. Kmart! 8335. — Urn33 PeeCm” Cathie, (A /z4/u E [impI‘H'Q/ Pale i €241 F 6! ﬂe'daﬁ appear +5  <1” 1T_£{_fn_°s_t_4f‘ the defg b) “ MM?!"
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 Spring '11
 JONES

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