The wingspan of puffins is normally distributed with a mean of 20 inches. Alaska's Department of Fish and Game believes that the horned puffins of Kachemak Bay are larger on average. They measure 20 horned puffins from Kachemak bay. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answers to at least 3 decimal places. Hours21.622.821.324.424.623.521.823.92224.520.722.621.822.922.721.523.425.720.921.6 What are the correct hypotheses? H0: hoursH1: hoursBased on the hypotheses, find the following:Test Statistic=p-value=The correct decision is to .The correct summary would be: that the mean wingspan of Kachemak Bay horned puffins exceeds the overall mean of wingspan of 20 inches.

Given that Sample size n =20 Population mean =20 Level of significance =0.01

Answered: The wingspan of puffins is normally…

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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The wingspan of puffins is normally distributed with a mean of 20 inches. Alaska's Department of Fish and Game believes that the horned puffins of Kachemak Bay are larger on average. They measure 20 horned puffins from Kachemak bay. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answers to at least 3 decimal places.

Hours
21.6
22.8
21.3
24.4
24.6
23.5
21.8
23.9
22
24.5
20.7
22.6
21.8
22.9
22.7
21.5
23.4
25.7
20.9
21.6

What are the correct hypotheses?

H₀: hours

H₁: hours

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to .

The correct summary would be: that the mean wingspan of Kachemak Bay horned puffins exceeds the overall mean of wingspan of 20 inches.

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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