Answered: Use the table to answer the question.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.

A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 51.2 mm and a standard deviation of 2.7 mm. What percent of the butterflies had the following wingspans? (Round your answers to one decimal place.)

(a) less than 48.9 mm
(b) between 50 and 52 mm

Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.

The cholesterol levels of a group of young women at a university are normally distributed, with a mean of 184 and a standard deviation of 39. What percent of the young women have the following cholesterol levels? (Round your answers to one decimal place.)

(a) greater than 223

%

(b) between 187 and 225
%

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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