Chapter 6 for Stats

# Chapter 6 for Stats - Chapter 6 The Normal Curve and...

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Chapter 6 The Normal Curve and Sampling Error

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Standard scores Raw scores have different units of measurement from one variable to another Standard scores can be derived from raw data with a known central tendency and variability Standard scores can be used to make comparisons across different kinds of measurements
Normal Curve and Standard Deviations

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Z Scores Z score – raw score expressed in SD units Using the mean and SD for any set of normal data: X X Z σ - = X X Z SD - =
Fish size example 75.2 X = 2 1086.6 14.7 1 5 d SD N = = = - What is the Z score for the fish with size 86? 86 75.2 0.73 14.7 X X Z SD - - = = =

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What does this mean on the normal curve?
What percentage of scores falls between the Z score = 0.8 and the mean? Using Table A.1: Percentage corresponding to 0.8 = This is the same percentage for 0.8 and for -0.8.

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What Z score corresponds to 45% of the area under the curve? Using Appendix A.1 Z=1.64-1.65 What percentile score corresponds to Z = 0.8?
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Chapter 6 for Stats - Chapter 6 The Normal Curve and...

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