Answered: When 14 different second-year medical…

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

When

different second-year medical students measured the systolic blood pressure of the same person, they obtained the results listed below (in mmHg). Assuming that the population standard deviation is known to be

mmHg, use a

0.05

significance level to test the claim that the mean blood pressure level is less than

140

mmHg. Hypertension is defined to be a blood pressure level that is too high because it is

140

mmHg or greater. Assume the blood pressure levels are normally distributed. Based on the hypothesis test results, can it be safely concluded that the person does not have hypertension?

138

140

135

120

125

120

140

130

144

143

130

120

150

a) Identify the null hypothesis and alternative hypothesis.

b) Identify the P-value.

c) What is the final conclusion?

Fail to reject H0. There

is not sufficient evidence to support the claim.

Reject H0. There is not sufficient evidence to support the claim.

C. Reject H0. There is sufficient evidence to support the claim.

D. Fail to reject H0. There is sufficient evidence to support the claim.

d) Can it be safely concluded that the person does not have hypertension?

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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