A second sample of 100 ages as been collected from the U.S. 2000 census and is listed here.

[EX07-67]

14 6 59 64 39 12 8 34 27 4 16 18 17 33 56 60 65 73 53 43 26 42 60 87 58 42 82 21 35 64 58 53 36 66 63 66 39 62 58 49 31 27 39 35 12 28 28 20 3 54 41 41 63 39 37 23 79 43 28 17 12 45 52 10 11 32 32 23 86 61 50 27 19 15 3 51 5 36 83 39 35 44 59 30 31 69 40 16 40 66 15 55 32 4 43 41 23 46 61 30

a. How would you describe the preceding “ages”

sample data graphically? Construct the graph.

b. Using the graph that you constructed in part a, describe the shape of the distribution of sample data.

c. How well did the sample describe the population of ages from the 2000 census shown in Section 7.1? Explain using the graphical displays.

d. How would you describe the preceding “ages”

sample data numerically? Calculate the statistics.

e. How well do the statistics calculated in part d compare with the parameters from the 2000 census given in Section 7.1?

f. (optional) If you completed Exercises 7.1 and 7.2, how does your graphical display and statistics compare with those constructed and calculated in Exercises 7.1 and 7.2 using a different sample of 100 ages?

g. Is the distribution of ages for the population of Americans in Section 7.1 normal? Is it approximately normal?

h. Will the SDSM apply to samples taken from this population? Explain.

i. Will the CLT apply to samples taken from this population? Explain.

j. Describe the SDSM for samples of size 100. Be sure to include center, spread, and shape.

k. Compare your results in parts a and d with the theoretical answers in part j. Be sure to include center, spread, and shape.

l. Describe the SDSM for samples of size 30. Be sure to include center, spread, and shape.

m. Describe the sampling SDSM for samples of size 1000. Be sure to include center, spread, and shape.

n. Relate your findings in parts j, l, and m to the SDSM and the CLT.

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