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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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