BA 215 Business Statics Assignment 5
indigo11Question 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.
Question 2
2. Consider a population with μ = 43 and σ = 5.2.
a. Calculate the z-score for anx̅ 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.
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