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Published byMaximilian Bridges Modified over 9 years ago
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Non-standard Normal Distribution OBJ Determine the z-score of a non-standard normal distribution and find its area under the normal curve
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Each data item x can be converted to a standard value z by the formula: z = x – x s EX: The mean and standard deviations of the algebra test scores are as follows: Class 1: mean = 78.4, standard deviation 9.6 Class 2: mean = 78.4, standard deviation 14.5 For each class give, the standard value of the scores 92 and 68. a.What percent is between 92 and 68 for class 1? b.What percent is between 92 and 68 for class 2?
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z -3 -2 -1 0 1 2 3 z
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Below are the algebra test scores for a class of 25 students: 50646870 727375 7678 79 808182 8588 89909293
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z -3 -2 -1 0 1 2 3 z
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Below are the algebra test scores for a class of 25 students: 56575860616567687071747577 7982878889929596979899
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Each data item x can be converted to a standard value z by the formula: z = x – x s EX: Over the last 10 years, the mean weight x of newborn babies in a large metropolitan hospital has been 3.4 kg and the standard deviation s has been 0.4 kg. Find the approximate percent of newborn babies having weights: less than 4.0 kg more than 4.0 kg between 3.0 kg and 4.0 kg
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