The pulse rates of158randomly selected adult males vary from a low of44bpm to a high of120bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want90%confidence that the sample mean is within2bpm of the population mean. Complete parts (a) through (c) below.a. Find the sample size using the range rule of thumb to estimateσ. n=245b. Assume thatσ=10.5bpm, based on the values=10.5bpm from the sample of158male pulse rates.n= c.. Compare the results from parts (a) and (b). Which result is likely to be better?

Answered: The pulse rates of 158 randomly…

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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Question

The pulse rates of

158

randomly selected adult males vary from a low of

bpm to a high of

120

bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want

90%

confidence that the sample mean is within

bpm of the population mean. Complete parts (a) through (c) below.

a. Find the sample size using the range rule of thumb to estimate

σ.

n=245

b. Assume that

σ=10.5

bpm, based on the value

s=10.5

bpm from the sample of

158

male pulse rates.

c.. Compare the results from parts (a) and (b). Which result is likely to be better?

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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