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# Computing Standard Error and Explaining T and Z Distribution

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Find the estimated standard error for the sample mean for each of the following samples. (Use one decimal place)

n=4 with SS = 48
_______

n=6 with SS= 270
_________

n= 12 with SS= 132
________

Why do t distributions tend to be flatter and more spread out than the normal distribution is? The (denominator) (numerator) (product) I chose product??___ of the t statistic contains the (sample standard deviation)(population mean)(population standard deviation)__i chose sample standard deviation________, which is _(different)(unknown)(the same)__I chose different ?________for different samples. The z score uses the _(population standard deviation)(population size)(sample standard deviation)_i chose population standard deviation?______________which is __(the same)(different)(unknown)_i chose same?______for different samples, Therefore, the t statistic has __(greater)(equal)(less)___less?________variabilty.

use the distribution tool to find the t values that form the boundaries of the critical region for a two-tailed test with o= .05 for each of the following sample sizes. use three decimal places.
t distribution
degrees of freedom= 21

n=6
t= ±

n=12
t=±

n=24
t=±.

https://brainmass.com/statistics/hypothesis-testing/computing-standard-error-explaining-distribution-585058

#### Solution Preview

Find the estimated standard error for the sample mean for each of the following samples. (use one decimal place)
n=4 with SS = 48
____standard error=sqrt(48/4)=_3.5__
n=6 ...

#### Solution Summary

The solution gives detailed steps on computing standard error and explaining the difference between t and z distribution.

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