SOLUTION: The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced b

Question 408511: The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following:
(a) Increasing the difference between sample mean and the original population mean.
In terms of Z = x � u/o, keeping the o constant will have an increase in the difference between sample mean and the original population mean causes an increase in the Z score.
(b) Increasing the population standard deviation.
Keeping other variables like sample mean and population mean, an increase in the population standard deviation will cause a decrease in Z score.
(c) Increasing the number of scores in the sample.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following:
(a) Increasing the difference between sample mean and the original population mean.
In terms of Z = (x-bar � u)/s
If s is constant increasing the difference between sample mean and the original population mean causes an increase in the Z score.
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(b) Increasing the population standard deviation.
Keeping other variables like sample mean and population mean, an increase in the population standard deviation will cause a decrease in Z score.
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(c) Increasing the number of scores in the sample.
Since the standard deviation is s/sqrt(n), z and sqrt(n) are
indirectly related. So increasing n will decrease z.
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Cheers,
Stan H.
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