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##### Grantham BA215 Assignment 5

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**Question**

Question;Question 1;1. Using the telephone numbers listed in your;local directory as your population, randomly obtain 20 samples of size 3. 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. (Us 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!;Question 2\;2.Consider a population with? = 43 and? = 5.2.;a. Calculate the;z-score for anx? of 46.5 from a sample of size 35.b. Could this z-score;be used in calculating probabilities using Table 3 in Appendix B? Why or why;not?;Question 3;3.State the null and alternative hypotheses for;each of the following;a. You want to show an;increase in buying and selling of single-family homes this year when compared;with last year?s rate.;b. You are testing a new recipe for ?low-fat? cheesecake and expect to find;that its taste is not as good as traditional cheesecake.c. You are trying to;show that music lessons have a positive effect on a child?s self-esteem.d. You are;investigating the relationship between a person?s gender and the automobile he;or she drives?specifically you want to show that more males than females drive;truck-type vehicles.

Paper#62276 | Written in 18-Jul-2015

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