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Name: Alyssa and Alan medical group found that the mean annual earning of th
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Description: Alyssa and Alan medical group found that the mean annual earning of the pharmacist in the US are $230,000 and those of pediatricians to be $225,000 suppose that these results are based on random samples of 300 pharmacists and 400 pediatricians and th

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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Alyssa and Alan medical group found that the mean annual earning of the pharmacist in the US are $230,000 and those of pediatricians to be $225,000 suppose that these results are based on random samples of 300 pharmacists and 400 pediatricians and that the population standard deviations are 28,000 and 32,000 respectively.

A.What is the standard error?

B.test the plane using 1% level of significance at the mean annual earning of pharmacists is greater than that of the pediatricians.

Cconstruct a 98% confidence interval for the difference between the mean annual earnings of pharmacist and pediatricians.

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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