Statistics > QUESTIONS & ANSWERS > University of California, Los Angeles STATS 10 Introduction to Statistical Reasoning Homework 7 (All)

University of California, Los Angeles STATS 10 Introduction to Statistical Reasoning Homework 7

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University of California, Los Angeles STATS 10 Introduction to Statistical Reasoning Homework 7 6.38: Women’s Heights a. Find the percentage of women who should have heights of 63.5 inches or... less = 63.5 - 64.6 / 2.6 = -0.42 P(X <= 63.5) = P(z <= -0.42) = 0.3361 = 33.61% b. In a sample of 123 women, according to the probability obtained i part a, how many should have heights of 63.5 inches or less? 123 * 0.3361 = 41.3403 Rounding up it would be 42 c. The table shows the frequencies of heights for a sample of women, collected by statistician Brian Joiner in his statistics class. Count the women who appear to have heights of 63 inches or less by looking at the table. They are in the oval. 2 + 5 + 7 +10 +16 = 40 (The number of women required) The number of women who have a height of less than 6 inches or less is 40 d. Are the answers to parts b and c the same or different? Explain. The answers are not the same but are close in value. 6.43: Inverse Normal, Standard a. Find the z-score that gives a left area of 0.7123 The z-score that gives a left area of 0.7123 would be 0.56 b. Find the z-score that gives a left area of 0.1587 The z-scores that gives a left area of 0.1587 would be -1.00. 6.44: Inverse Normal, Standard a. Find an approximate z-score that gives a left area of 0.7000 The approximate z-score that gives a left area of 0.7000 would be 0.52 b. Find an approximate z-score that gives a left area of 0.9500 The approximate z-score that gives a left area of 0.9500 would be 1.65 6.71: Florida Homicide Clearance a. What is the probability that exactly 6 out of 10 independent homicides are cleared? P(X = 6) = (10/6) (0.60)^6(1-0.60)^10-6 = 0.251 The probability would be 0.251 b. Without doing a calculation, state whether the probability that 6 or more out of 10 homicides are cleared will be larger or smaller than the answer to part a? It would be greater than part a. c. What is the probability that 6 or more out of 10 independent homicides are cleared? P(X >= 6) = (10)(0.60^X)(1-0.60)^10-X = 0.633 [Show More]

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