For the following scenarios, state the null hypothesis and the alternative hypothesis to be used when a hypothesis test is performed. Scenario i) A programmer has been told that the mean time to apply a particular update to a server is 1.7 hours. They believe the value is greater than this. They apply the update to 36 servers and compute a mean update time of 1.85 hours with a standard deviation of 0.64 hours. Scenario ii) It typically takes a tomato plant 110 days to fully mature. A scientist has created a new breed of tomato and wants to test whether the mean maturity time is different than that. They sample 31 plants and compute a sample mean of 106.4 days with a sample standard deviation of 8.2 days. Scenario iii) A computer scientist believes that fewer than 80% of coders adequately document their code. They sample code from 250 coders and find that 190 of them adequately documented their code.

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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For the following scenarios, state the null hypothesis and the alternative hypothesis
to be used when a hypothesis test is performed.
Scenario i) A programmer has been told that the mean time to apply a particular update to
a server is 1.7 hours. They believe the value is greater than this. They apply the
update to 36 servers and compute a mean update time of 1.85 hours with a standard
deviation of 0.64 hours.
Scenario ii) It typically takes a tomato plant 110 days to fully mature. A scientist has created a
new breed of tomato and wants to test whether the mean maturity time is different
than that. They sample 31 plants and compute a sample mean of 106.4 days with a
sample standard deviation of 8.2 days.
Scenario iii) A computer scientist believes that fewer than 80% of coders adequately document
their code. They sample code from 250 coders and find that 190 of them adequately
documented their code.

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