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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Non-standard Normal Distribution OBJ Determine the z-score of a non-standard normal distribution and find its area under the normal curve

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?

z z

Below are the algebra test scores for a class of 25 students:

z z

Below are the algebra test scores for a class of 25 students:

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