Describe the distribution of the x-bars


Discuss the below:

Q: Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.

a. Calculate the mean of the 20 samples

b. Draw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on).

c. Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).

d. Draw 20 more samples and add the 20 new x-bars to the histogram in part b. Describe the distribution that seems to be developing.

Use the empirical rule to test for normality. See the sampling distribution of sample means and the central limit theorem develop from your own data!

862-9610      277-5258 962-1793
862-5482 277-6655 962-3179
962-2325 277-5214 962-6325
962-2125 277-4144 962-2589
962-5562 277-3214 962-1795
862-2120 277-4589 962-7845
862-2400 477-2458 962-7448
862-2522 277-6619 862-2879
862-2578 277-2369 862-3479
862-5156 277-9654 862-4821
962-2128 277-7526 862-6749
277-5562 277-9746 242-4586
244-6625 277-1597 242-6321
244-6632 277-9423 242-1597
245-9165 277-6871 242-4785
277-5854 277-5863 242-7162
222-5546 277-0564 242-6616
254-7251 277-9173 242-1232
277-6558 277-8173 241-7893
214-5574 277-2864 241-2156

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Basic Statistics: Describe the distribution of the x-bars
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