The weight of an organ in adult males has a bell-shaped distribution with a mean of 300 grams and a standard deviation of 15 grams. Use the empirical rule to determine the following. (a) About 95% of organs will be between what weights? (b) What percentage of organs weighs between 285 grams and 315 grams? (c) What percentage of organs weighs less than 285 grams or more than 315 grams? (d) What percentage of organs weighs between 270 grams and 345 grams? 99.7% of data are within 3 standard deviations of the mean (u – 3a to µ + 3ơ) 95% within 2 standard deviations (a) 270 and 330 grams (Use ascending order.) (b) 68 % (Type an integer or a decimal.) (c) 32 % (Type an integer or a decimal.) (d) 97.35 % (Type an integer or decimal rounded to the nearest hundredth as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The weight of an organ in adult males has a bell-shaped distribution with a mean of 300 grams and a standard deviation of 15 grams. Use the empirical rule to
determine the following.
(a) About 95% of organs will be between what weights?
(b) What percentage of organs weighs between 285 grams and 315 grams?
(c) What percentage of organs weighs less than 285 grams or more than 315 grams?
(d) What percentage of organs weighs between 270 grams and 345 grams?
99.7% of data are withi -
3 standard deviations of
the mean (μ-3σ to μ+ 3σ)
95% within
2 standard deviations
(a) 270 and 330` grams (Use ascending order.)
(b) 68 % (Type an integer or a decimal.)
(c) 32 % (Type an integer or a decimal.)
(d) 97.35 % (Type an integer or decimal rounded to the nearest hundredth as needed.)
Transcribed Image Text:The weight of an organ in adult males has a bell-shaped distribution with a mean of 300 grams and a standard deviation of 15 grams. Use the empirical rule to determine the following. (a) About 95% of organs will be between what weights? (b) What percentage of organs weighs between 285 grams and 315 grams? (c) What percentage of organs weighs less than 285 grams or more than 315 grams? (d) What percentage of organs weighs between 270 grams and 345 grams? 99.7% of data are withi - 3 standard deviations of the mean (μ-3σ to μ+ 3σ) 95% within 2 standard deviations (a) 270 and 330` grams (Use ascending order.) (b) 68 % (Type an integer or a decimal.) (c) 32 % (Type an integer or a decimal.) (d) 97.35 % (Type an integer or decimal rounded to the nearest hundredth as needed.)
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