A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the correct null and alternative hypotheses for performing a chi-square goodness of fit test? Select one. 1.Null Hypothesis H0 : The distribution of birds observed does not follow the distribution from previous studies. Alternative Hypothesis H1: The distribution of birds observed follows the distribution from previous studies. 2.Null Hypothesis H0 : The distribution of birds observed follows the Normal distribution. Alternative Hypothesis H1: The distribution of birds observed does not follow the Normal distribution. 3.Null Hypothesis H0 : The distribution of birds observed follows the Student’s t-distribution. Alternative Hypothesis H1: The distribution of birds observed does not follow the Student’s t-distribution. 4.Null Hypothesis H0 : The distribution of birds observed follows the distribution from previous studies. Alternative Hypothesis H1: The distribution of birds observed does not follow the distribution from previous studies.

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 biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the correct null and alternative hypotheses for performing a chi-square goodness of fit test? Select one.

1.Null Hypothesis H₀ : The distribution of birds observed does not follow the distribution from previous studies.
Alternative Hypothesis H₁: The distribution of birds observed follows the distribution from previous studies.

2.Null Hypothesis H₀ : The distribution of birds observed follows the Normal distribution.
Alternative Hypothesis H₁: The distribution of birds observed does not follow the Normal distribution.

3.Null Hypothesis H₀ : The distribution of birds observed follows the Student’s t-distribution.
Alternative Hypothesis H₁: The distribution of birds observed does not follow the Student’s t-distribution.

4.Null Hypothesis H₀ : The distribution of birds observed follows the distribution from previous studies.
Alternative Hypothesis H₁: The distribution of birds observed does not follow the distribution from previous studies.

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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