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Download Math 12 Elementary Statistics – Fall 2012 Name___________________ Marcella Laddon, Instructor
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Math 12 Elementary Statistics – Fall 2012 Marcella Laddon, Instructor Lab Project 2 (5 lab points) Name___________________ Refer to the Class Data page for this lab. This lab can be done on this page. You’ll also be referring to the Cabrillo Factbook. This can be accessed online by going to the Cabrillo web page (www.cabrillo.edu), then near the top right, clicking “Administrative & Community Interests” and then, under “Planning and Research” clicking the link for the “Cabrillo Factbook.” Here’s the direct link: http://pro.cabrillo.edu/pro/factbook/ I also have the link on our course webpage, where you found this lab! Due at Exam 2. 1. (5-3, 5-4) Go to the Cabrillo Factbook and find out what percent of students enrolled in Spring 2011 were female (look under Student Demographics -> Enrollment by Gender [scroll down]). Convert this percent to a decimal to get p, the probability of getting a female student when one student is randomly selected. p = _____ (so q = _____ ) Our class data set size n = _____ Number of women in our class x = _____ Using the binomial distribution along with n and p from above, find P(x) where x = the number of women in our class. P(x) = _____ Given the probability you just found, is it unusual to have the number of women in our class that we do? Explain. Find the mean (μ) and the standard deviation (σ) using the binomial formulas on p.235, and n and p from above. μ = _____ σ = _____ Find the maximum and minimum usual values for the number of women in a typical stats class. μ + 2σ = _____ μ – 2σ = _____ Does our class fall within this range, or do we have an unusual number of women in our class? 2. (6-5) Give the following information about just the men in our class. Tallest = _____ in. Shortest = _____ in. Range = _____ in. I did some poking around on the web and found that the mean height of a man in America is 69 inches with a standard deviation of 3 inches (http://investing.calsci.com/statistics.html). Heights of American men are normally distributed. If one man is selected at random, find the probability that his height is between 66 and 72 inches. Use the mean and SD for all American men. Draw a sketch for this problem. If 21 men are selected at random, find the probability that the mean height of such a group is between 66 and 72 inches. Use the mean and SD for all American men. Remember the Central Limit Theorem!
