Answered: Laura is interested in the mean height…

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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Laura is interested in the mean height of the girls in her 9th-grade class year. Previous studies established that the average height of the girls in 9th-grade cross the nation is 60 inches. She takes a sample of 41 students and calculates a sample mean of 58.5 inches and a sample standard deviation of 5.

Laura suspects that the mean height in her class might be less than 60 inches. What is the p-value for the corresponding one-tailed testing problem?

Group of answer choices

between 0.02 and 0.025

between 0.025 and 0.05

between 0.01 and 0.02

None of the other answers is correct

between 0.005 and 0.01

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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