Destry Okegou Using Tables for Normal Distribution Areas A factory produces basaballs. The woights of the baseballs produced are approximately normally distributed with a mean woight of 145 grams and a standard deviation of 2 grams. Offcial ruies roquire the balls to weigh between 142 and 149 grams. Recall that the proportion of items in an interval of an approximately norrmally distributed situation is the samo as the area under the normal curve. A table can be used to detomine tho area undor a normal curve bounded by an interval. First, the relevant values need to be converted to a z-score. A value's z-score reprasonts the number of standard deviations it is above the mean, In the baseball example, the value 147 grams has a z-scora of 1 since it is 1 standard deviation above the mean. The value 140 grams has a z-acore of -2.5 aince It is 2.6 standard doviations below the mean. value - mean In genoral, a z-Bcore can bo found using z= s tan dard deviation Find the z-80ore for 142 grams. Find the z-score for 149 grams. What value would have a z-scora of 1.45? What valun would have a z-scoro of -1.45? Submit and Explain Submit
Destry Okegou Using Tables for Normal Distribution Areas A factory produces basaballs. The woights of the baseballs produced are approximately normally distributed with a mean woight of 145 grams and a standard deviation of 2 grams. Offcial ruies roquire the balls to weigh between 142 and 149 grams. Recall that the proportion of items in an interval of an approximately norrmally distributed situation is the samo as the area under the normal curve. A table can be used to detomine tho area undor a normal curve bounded by an interval. First, the relevant values need to be converted to a z-score. A value's z-score reprasonts the number of standard deviations it is above the mean, In the baseball example, the value 147 grams has a z-scora of 1 since it is 1 standard deviation above the mean. The value 140 grams has a z-acore of -2.5 aince It is 2.6 standard doviations below the mean. value - mean In genoral, a z-Bcore can bo found using z= s tan dard deviation Find the z-80ore for 142 grams. Find the z-score for 149 grams. What value would have a z-scora of 1.45? What valun would have a z-scoro of -1.45? Submit and Explain Submit
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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