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# HW5 - 2 = 1 8 8-5 = 3 3 2 = 9 0-5 =-5-5 2 = 25 6 6-5= 1 1 2...

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Homework 5 Chapter 4: 4, 10, 15 4. When a sample has a standard deviation of zero there is no variability; all scores are the same. 10. X (X – μ) (X – μ) 2 8 8-5 = 3 3 2 = 9 4 4-5 = -1 -1 2 = 1 7 7-5 = 2 2 2 = 4 1 1-5= -4 -4 2 = 16 a. μ = (∑X)/n = 20/4 = 5 b. ∑(X – μ) = 3+-1+2+-4 = 0 c. SS = ∑(X – μ) 2 = 9+1+4+16) = 30 15. X (X – μ) (X – μ) 2 6 6-5 = 1 1
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Unformatted text preview: 2 = 1 8 8-5 = 3 3 2 = 9 0-5 = -5-5 2 = 25 6 6-5= 1 1 2 = 1 Mean = 5 SS = ∑(X – μ) 2 = 1+9+20+1 = 36 s 2 = SS/n = 36/4 = 9 (remember: the problem is dealing with a population, but if we were dealing with a SAMPLE, we would use n-1 in the denominator instead of just n.) s = √(s 2 ) = √9 = 3...
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