Stats II week 1

Stats II week 1 - Sarah Anderson Stats II week 1 The...

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Sarah Anderson Stats II week 1 The following Exercises from Chapter 7: (10 points) Exercise 4 (page 223) Exercises 10, 12 (page 229) Exercises 15, 16 (page 233) Exercises 20, 22 (page 235) Exercises 24, 28 (page 237) Exercise 32 (page 241) 4.) a. 400+3800/2 = 2100 b. sq root of (3800-400)^2/12 = 981.49 or 981.5 c. 1/b-a =f(x) for uniform dist. so. .1/3400 =.47 = p d. 1/3400 dx = .235 = p 10.) a. p (55<x<65) → p 55-60/5<z< 65-60/5 p(-1<z<1) TI83: normcdf (55, 65,60, 5) = approx. .68 on a table z table table P (0<z<1) = .34 so just dbl it, b. normcdf (50,70, 60, 5) = approx. .95 c. normcdf (45,75,60,5) = approx. .99 What is being demonstrated here is Chebyshev's Rule concerning the proportion of population lying within the 1,2,3 standard deviations from the mean. 12.) μ = 90 σ = 22 standardize x to z = (x - μ) / σ P(x > 75) = P( z > (75-90) / 22) = P(z > -0.6818) = 0.7517 (From Normal probability table) μ = 90 σ = 22 standardize x to z = (x - μ) / σ P(x > 100) = P( z > (100-90) / 22)
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Stats II week 1 - Sarah Anderson Stats II week 1 The...

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