Answered: A simple random sample of 50 adult…

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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A simple random sample of 50 adult females is obtained, and the white blood cell count (in cells per microliter) is measured for each of them, with these results: n = 50, sample mean = 6.889 (in million cells per microliter), s = 2.021 (in million cells per microliter). Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 8.3 (in million cells per microliter), which is often used as the upper limit of the range of normal values. What is the conclusion of the study? *

2 points

A. The white blood cell count of the 50 adult females is equal to the mean of the white blood cell count of the population.

B. The white blood cell count of the 50 adult females is not equal to the mean of the white blood cell count of the population.

C. The white blood cell count of the 50 adult females is less than to the mean of the white blood cell count of the population.

D. The white blood cell count of the 50 adult females is greater than to the mean of the white blood cell count of the population.

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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