Answered: The body temperatures (in degrees…

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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Body Temperatures

The body temperatures (in degrees Fahrenheit) have been recorded for a sample of 130 healthy adults - 65 males and 65 females (Shoemaker, 1996). The sample mean body temperature for males is 98.394 degrees Fahrenheit, and the sample standard deviation for males is 0.743 degrees Fahrenheit. The sample mean body temperature for females is 98.105 degrees Fahrenheit, and the sample standard deviation for females is 0.699 degrees Fahrenheit.

a. produce a 95% confidence interval for the population mean body temperature of a healthy male. Round your answers to three decimal places.

(___, ___)

b. produce a 95% confidence interval for the population mean body temperature of a healthy female. Round your answers to three decimal places.

(___, ___)

d. Report the half-width of these two intervals. Round to 3 decimal places.

Half width for men: ____

Half width for women: ___

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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