Answered: n the Grand Canyon, a random sample of…

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

In the Grand Canyon, a random sample of six Anna's hummingbirds were caught, weighed, and released. The sample mean was = 3.75 grams and σ = 0.70 grams. For the population of Anna's hummingbirds the mean is µ = 4.55 grams. Assume a normal distribution. Do the data indicate that the mean weight of these birds is more than 4.55 grams? Use α = 0.05. Complete a hypothesis test:

a) What are H_o and H₁?

b) Are we using a z or t test? Why?

c) Calculate z or t.

d) What is p?

e) Do we reject or not reject H_o and why?

f) What is the conclusion? That is, do the data indicate the mean weight of the birds is more than 4.55 grams? Explain.

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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