Answered: Assume a significance level of α=0.1…

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

Assume a significance level of α=0.1 and use the given information to complete parts (a) and (b) below.
Original claim: Women have heights with a mean equal to 154.2 cm. The hypothesis test results in a P-value of 0.0835.
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Part 1
a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below.
A.
Reject H0 because the P-value is greater than α.
B.
Fail to reject H0 because the P-value is less than α.
C.
Reject H0 because the P-value is less than α.
D.
Fail to reject H0 because the P-value is greater than α.
Part 2
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A.
There is not sufficient evidence to warrant rejection of the claim that the mean height of women is equal to 154.2 cm.
B.
There is sufficient evidence to support the claim that the mean height of women is equal to 154.2 cm.
C.
There is sufficient evidence to warrant rejection of the claim that the mean height of women is equal to 154.2 cm.
D.
There is not sufficient evidence to support the claim that the mean height of women is equal to 154.2 cm.

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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