Stats week 6

# Stats week 6 - Sarah Anderson Stats Week 6 Exercise 4(page...

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Sarah Anderson Stats Week 6 Exercise 4 (page 223) done Exercises 10, 12 (page 229) done Exercises 15, done 16 (page 233) done Exercises 20, 22 (page 235) done Exercises 24, 28 (page 237) done Exercise 32 (page 241) done 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) = P(z > 0.4545) = 0.3264

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Stats week 6 - Sarah Anderson Stats Week 6 Exercise 4(page...

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