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The Empirical Rule applies rough approximations to probabilities for any unimodal, symmetric distribution. But for the Normal distribution we can be more precise as the
The Empirical Rule applies rough approximations to probabilities for any unimodal, symmetric distribution. But for the Normal distribution we can be more precise as the figure below shows. Use the figure and the fact that the Normal curve is symmetric to answer the following questions. 68% Density 95% Almost All Z a. Roughly what percentage of z-scores are between -2 and 2? b. Roughly what percentage of z-scores are between -1 and 1? c. Roughly what percentage of z-scores are between -3 and 3? d. Roughly what percentage of z-scores are more than 0? e. Roughly what percentage of z-scores are between 0 and -1?In a certain state, the recent average critical reading standardized test score was 511. Assume that the standard deviation is 100 and that standardized test scores are Normally distributed. Density z-score The percentage of standardized test takes who scored 600 or less is %. (Type in as a decimal to one decimal place.)
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