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hw1sol - Q 1 = 1 105 2 For Q 3 position in ordered data...

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Statistics 100 — Summer Session II 2009 Homework 1 PROBLEM 3, P54-18 (a) (4pts) Histogram of spermatophore spermatophore Frequency 0.05 0.10 0.15 0 5 10 15 Figure 1: Histogram of Measurements (b) (2pts) We use histogram, because the variable is continuous. (c) (2pts) with an outlier (d) (2pts) maximum (in this problem, it is also an outlier) PROBLEM 4, P57-25 (a) (2pts) show the percentage year by year (b) (3pts) It is not easy for us to get an idea about the trend of the percentage directly. (c) (5pts) Use a line graph: powerful tool for displaying trends in time or some other ordered series. 1
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1996 1998 2000 2002 2004 54 56 58 60 62 64 year bmi Figure 2: line graph PROBLEM 6, P79-10 (a) (5pts) 5.5 (in log 10 units) (b) (5pts) 0.2555 (in log 10 units) PROBLEM 7, P80-12 (a) skewed to the right, since it has a long right tail. (3pts) Histogram of z z Frequency 0 5 10 15 20 25 30 0 5 10 15 20 Figure 3: Histogram (b) (2pts) Mean should be larger than median, since it has a long right tail. (c) (2pts)mean=8.6635; median=3.51. (d) (3pts)For Q 1 , position in ordered data set: (n+1)*.25=9.5, therefore,
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Unformatted text preview: Q 1 = 1 . 105; 2 For Q 3 , position in ordered data set: (n+1)*.75=28.5, therefore, Q 3 = 17 . 61. IQR = Q 3-Q 1 = 16 . 505 PROBLEM 9, P95-9 a. (2.5pts)false b. (2.5pts)true c. (2.5pts)true d. (2.5pts)true PROBLEM 12, P124-20 (10pts) P ( rain ) = P ( rain ∩ spring )+ P ( rain ∩ summer )+ P ( rain ∩ fall )+ P ( rain ∩ winter ) = P ( rain | spring ) * P ( spring )+ P ( rain | summer ) * P ( summer )+ P ( rain | fall ) * P ( fall )+ P ( rain | winter ) * P ( winter ) = 0 . 38 * 1 / 4 + 0 . 25 * 1 / 4 + 0 . 53 * 1 / 4 + 0 . 58 * 1 / 4 = 0 . 435 PROBLEM 13, P125-25 a. (4pts) Figure 4: Probability Tree b. (3pts) 0.24+0.06+0.05=0.35 c. (3pts) (1-0.2)*0.35=0.28 PROBLEM 16, P146-11 a. (2pts) alternative hypothesis b. (2pts) null hypothesis c. (2pts) alternative hypothesis d. (2pts) null hypothesis e. (2pts) alternative hypothesis PROBLEM 17, P147-13 (10pts) b. PROBLEM 18, P147-14 (10pts) a. 3...
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