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You have a process whose output is assumed to be normally distributed with a mean of 10 and a variance of 4 or x~N(10,4).
You collect 100 measurements and of those measurements, 16 turn out to be 14 or higher.
Assuming the underlying variance of 4 did not change, what shift in the process mean could have caused this to happen? assuming the mean did not change, what new value of variance would give this result?
How could we distinguish between the two changes, assuming only one happened?
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