Answered: 3-month-old colt should be about ? = 68…

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

The body weight of a healthy 3-month-old colt should be about ? = 68 kg.

(a) If you want to set up a statistical test to challenge the claim that ? = 68 kg, what would you use for the null hypothesis

H₀?

? > 68 kg? < 68 kg ? = 68 kg? ≠ 68 kg

(b) In Nevada, there are many herds of wild horses. Suppose you want to test the claim that the average weight of a wild Nevada colt (3 months old) is less than 68 kg. What would you use for the alternate hypothesis

H₁?

? > 68 kg? < 68 kg ? = 68 kg? ≠ 68 kg

(c) Suppose you want to test the claim that the average weight of such a wild colt is greater than 68 kg. What would you use for the alternate hypothesis?

? > 68 kg? < 68 kg ? = 68 kg? ≠ 68 kg

(d) Suppose you want to test the claim that the average weight of such a wild colt is different from 68 kg. What would you use for the alternate hypothesis?

? > 68 kg? < 68 kg ? = 68 kg? ≠ 68 kg

(e) For each of the tests in parts (b), (c), and (d), respectively, would the area corresponding to the P-value be on the left, on the right, or on both sides of the mean?

right; left; bothboth; left; right left; both; rightleft; right; both

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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