ChE253K Spring09 HW07 Solutions.1

ChE253K Spring09 HW07 Solutions.1 - ChE 253K - Applied...

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ChE 253K -- Applied Statistics -- Homework 07 1. Text Problem 5.22 1 Point. (a) 1 std deviation (b) 2 std deviations 1 Point. (c) 3 std deviations (d) 4 std deviations 2. Text Problem 5.19 2 Points. (a) <1.50 (b) <-1.20 2 Points. (c) >2.16 (d) >-1.75 (e) between –1.20 and –1.75 2 Points. (f) between –1.20 and +1.50 (g) How would you solve Part (e) if . ..? 3. ... please find the range for proportions of the distribution. 2 Points. (a) Top 10% of the distribution (b) Bottom 10% of the distribution 2 Points. (c) The 50% of the distribution between the 1st and 3rd Quartiles. Total: 12 Points
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Standard Normal Distribution 1. Text Problem 5.22 Parts (a) thru (c) from the chart. (a) P( μ ± 1 σ ) = 2(34%) = 68% (b) P( μ ± 2 σ ) = 2(34% + 13.5%) = 95% (c) P( μ ± 3 σ ) = 2(34% + 13.5% + 2.35%) = 99.7% Part (d) from Appx Table 3 (d) P( μ ± 4 σ ) = F(+4) – F(–4) = = 0.99997 - 0.00003 = 0.99994 Note: The problem statement says the variable has a "normal distribution," but it does not
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This note was uploaded on 02/25/2010 for the course CHE 253k taught by Professor Staff during the Spring '08 term at University of Texas at Austin.

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ChE253K Spring09 HW07 Solutions.1 - ChE 253K - Applied...

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