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Name: We’re interested in a population of emperor penguins. The mean weight
Uploaded: 2024-03-20T07:07:12.000Z
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Description: We’re interested in a population of emperor penguins. The mean weight of the population is assumed to be 56.8 lbs from past research. The standard deviation for the population is 7.3 lbs. We took a sample of size n=50 and got a mean sample weight 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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We’re interested in a population of emperor penguins. The mean weight of the population is assumed to be 56.8 lbs from past research. The standard deviation for the population is 7.3 lbs. We took a sample of size n=50 and got a mean sample weight of 59.0, which could indicate that the common knowledge is wrong.

a) State the null hypothesis and alternate hypothesis pair that describes the situation. H0:

Ha:
b) What is the critical value, z(a/2), for a 95% level of confidence?

c) What is the z-star for our sample data?
d) Should we accept or reject the null hypothesis?
e) If we use a 99% confidence limit, do we still accept or reject the null hypothesis, and why?

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