Researchers know that the distribution of the number of eggs in a robin's nest is normally distributed, but are concerned that the mean number of eggs per nest of robin's eggs has decreased from the mean of 4.8 eggs measured 10 years ago. They send out teams to locate and randomly select 20 nests and count the number of eggs in each nest. The team calculated a mean of 4.5 and a standard deviation of 0.7 eggs per nest. Is there evidence at the 0.05 significance level that the mean number of eggs per robin's nest has decreased over the past 10 years?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Researchers know that the distribution of the number of eggs in a robin's nest is normally
distributed, but are concerned that the mean number of eggs per nest of robin's eggs has
decreased from the mean of 4.8 eggs measured 10 years ago. They send out teams to locate and
randomly select 20 nests and count the number of eggs in each nest. The team calculated a mean
of 4.5 and a standard deviation of 0.7 eggs per nest. Is there evidence at the 0.05 significance level
that the mean number of eggs per robin's nest has decreased over the past 10 years?
Transcribed Image Text:Researchers know that the distribution of the number of eggs in a robin's nest is normally distributed, but are concerned that the mean number of eggs per nest of robin's eggs has decreased from the mean of 4.8 eggs measured 10 years ago. They send out teams to locate and randomly select 20 nests and count the number of eggs in each nest. The team calculated a mean of 4.5 and a standard deviation of 0.7 eggs per nest. Is there evidence at the 0.05 significance level that the mean number of eggs per robin's nest has decreased over the past 10 years?
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