A population of wild hogs have heights that are normally distributed with a mean of 27” with a standard deviation of 8.5”. A recent Fish and Game trapping program captured 42 of these hogs and found a sample mean height of 24” and a sample standard deviation of 4.7”. Does this data give good evidence that the population of hogs have heights less than 27”. Use an alpha of 5%. What would the hypothesis look like for this situation?(A) What is the test statistic and p value for this test? (C) Test Stat =_________ P-Value =___________ Based on the P-Value and the given alpha which decision would you choose? Circle or highlight the correct choice. (B) Reject the null in favor of the alternative. Fail to reject the null in favor of the alternative. What does this outcome mean in terms of the problem?(D)

Given Information: A population of wild hogs have heights that are normally distributed with a mean…

Answered: A population of wild hogs have heights…

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 population of wild hogs have heights that are normally distributed with a mean of 27” with a standard deviation of 8.5”. A recent Fish and Game trapping program captured 42 of these hogs and found a sample mean height of 24” and a sample standard deviation of 4.7”. Does this data give good evidence that the population of hogs have heights less than 27”. Use an alpha of 5%.

What would the hypothesis look like for this situation?(A)

What is the test statistic and p value for this test? (C)

Test Stat =_________ P-Value =___________

Based on the P-Value and the given alpha which decision would you choose? Circle or highlight the correct choice. (B)

Reject the null in favor of the alternative.

Fail to reject the null in favor of the alternative.

What does this outcome mean in terms of the problem?(D)

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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