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Converting to Standard Normal Distribution for Weight Probability Calculation

Learn how to convert weight values into standard scores for accurate probability calculations using specific formulas and tables. Determine probabilities of weights falling within ranges using statistical methods.

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Converting to Standard Normal Distribution for Weight Probability Calculation

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  1. x - µ z =  Other Normal Distributions where  0or  1 (or both) convert values to standard scores using Formula 5-2

  2. Converting to Standard Normal Distribution P  x (a) Figure 5-13

  3. x -  z =  Converting to Standard Normal Distribution P P  x z 0 (a) (b) Figure 5-13

  4. Probability of Weight between 143 pounds and 201 pounds 201 - 143 z = = 2.00 29 x = 143 s=29 Weight 143201 z 0 2.00 Figure 5-14

  5. Probability of Weight between 143 pounds and 201 pounds Value found in Table A-2 x = 143 s=29 Weight 143201 z 0 2.00 Figure 5-14

  6. Probability of Weight between 143 pounds and 201 pounds 0.4772 x = 143 s=29 Weight 143201 z 0 2.00 Figure 5-14

  7. Probability of Weight between 143 pounds and 201 pounds There is a 0.4772 probability of randomly selecting a woman with a weight between 143 and 201 lbs. x = 143 s=29 Weight 143201 z 0 2.00 Figure 5-14

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