Hw5Sol - Homework Solutions Assignment Number 5 Due...

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Homework Solutions Assignment Number 5 Due February 21, 2007 Section 6.2. Problem 2. Let μ =true average IQ of students after drinking Brain-Blaster. To test H 0 : μ = 95 versus H 1 : μ 6 = 95 at the α = 0 . 006 level of significance, the null hypothesis should be rejected if x = y - 95 15 / 22 is either 1) ≤ - 8 . 88 or 2) 1 . 88 . Equivalently, H 0 will be rejected if y is either 1) 95 - (1 . 88) 15 22 = 89 . 0 or 2) 95 + (1 . 88) 15 22 = 101 . 0 . Problem 5. No, because two-sided cutoFs (for a given α ) are further away from 0 that one-sided cutoFs. Problem 7 G . (a) H 0 should be rejected if y - 12 . 6 0 . 4 / 30 is either 1) ≤ - 1 . 96 or 2) 1 . 96. But y = 12 . 76 and z = 2 . 19, suggesting that the machine should be readjusted. (b) The test assumes that the y i ’s constitute a random sample from a normal didtribution. Graphed, a histogram of the 30 y i ’s shows a mostly bell-shaped pattern. There is no reason to suspect that the normality assumption is not being met. Problem 9
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This note was uploaded on 03/23/2008 for the course MATH 181A taught by Professor Xu,lily during the Spring '07 term at UCSD.

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Hw5Sol - Homework Solutions Assignment Number 5 Due...

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