Answered: Because of the overuse of natural latex…

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

Because of the overuse of natural latex gloves, one out of eight healthcare workers in the E.R. has developed latex sensitivities. There are 78 healthcare workers in the E.R.

Standard Normal Distribution Table

a. Is this situation appropriate to use the normal distribution to approximate the p^p^ -distribution?

n=n=

np^=np^=

Round to two decimal places if necessary

nq^=nq^=

Round to two decimal places if necessary

Yes

If yes, enter the parameters of the p^p^ -distribution. If no, enter 0.

Mean of this distribution =

Round to three decimal places if necessary

Standard deviation of this distribution =

Round to four decimal places if necessary

b. What is the probability that between 8% and 16% of the healthcare workers in the E.R. will have a latex allergy?

z1=z1=

Round to two decimal places if necessary

z2=z2=

Round to two decimal places if necessary

P(0.08<p^<0.16)=P(0.08<p^<0.16)=

Round to four decimal places if necessary

c. If you sample 105 healthcare workers instead, would the probability of part (b) increase or decrease?

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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