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6_Lecture6.2_more zScores &amp; probability_0216r_Spring11

# 6_Lecture6.2_more zScores &amp;...

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1 PSY207 B Spring 2011 Psychological Statistics V. z -Scores & VI. Probability Review and more A. Transform between Z and X B. Finding probabilities, proportions, or percentages under the standard normal curve μ= ±0 ơ = 1 XZ Probabilities Unit normal table B + C = 1; B – .5 = D or .5 – C = D Probabilities & z -Scores •If you know the z -score, you can look up the corresponding probabilities. •If you know the probabilities, you can use the table to find the specific z -score location.

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2 XZ Probabilities Unit normal table p (z > -1.00) = .8413 •z Æ p? 70% in body on right = -.52 •p Æ z? .7000 Other Standardized Distributions •Standardizing a distribution has two steps: 1. Original raw scores transformed to z-scores 2. The z-scores are transformed to new X values
3 XZ Probabilities In a exam, the distribution of raw scores has μ = 57 with σ = 14. The instructor want to simplify the distribution by transforming all scores into a new distribution with μ = 50 and σ = 10.

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6_Lecture6.2_more zScores &amp;...

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