psyc60 Z score worksheet 1 with answers

# psyc60 Z score worksheet 1 with answers - Given a...

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Given a population with μ = -10 and σ = 20, 1. What value is exactly 75 percent of the data lower then? 2. What is the percentile of the value 0? 3. What value is below exactly 60 percent of the data? 4. What proportion of the data falls outside values of -30 and -15? 5. What percent of the data are higher than 14? 6. What value is above exactly 10 percent of the data?

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μ = -10 and σ = 20, 1. What value is exactly 75 percent of the data lower then? .75 x: -10 ? z: 0 ? Calculate the just the area above the mean: .75 - .5 = .25 For an area of .25 in column B, lookup corresponding z score in column A: ~.67 Convert z-score to data value, x = (z)( σ ) + μ = (.67)(20) -10 = 3.4 2. What is the percentile of the value 0? Convert to z-value: z = (x-μ)/ σ = (0+10)/20 = .5 ? x: -10 XX z: 0 ZZ Either: For z = .5 in column A, lookup the corresponding area from column C: .3085 1 - .3085 = .6915 (.6915)100=.6915 The 69th percentile. Or:
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## psyc60 Z score worksheet 1 with answers - Given a...

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