Answered: A public health official in Okeechobee…

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

A public health official in Okeechobee county needs to estimate the average systolic blood pressure of all residents in Okeechobee county for a report that is being prepared for the Florida Department of Health.

The official randomly selected 66 Okeechobee county residents and found that the mean systolic blood pressure of the sample was 122 millimeters of mercury (mm Hg).

Using a 96% confidence level, determine the margin of error, E, and a confidence interval for the mean systolic blood pressure of all Okeechobee county residents. From past research, it is known that the standard deviation of the distribution of all Okeechobee county residents' systolic blood pressure is 9 mm Hg.

Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.

The margin of error is given by E=

A 96% confidence interval is given by=

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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