# Define the term standard deviation. Why is it important to know the standar

**Question description**

- Define the term standard deviation. Why is it important to know the
standard deviation for a given sample? What do researchers learn about a
normal distribution from knowledge of the standard deviation? A sample
of
*n=*20 has a mean of*M =*40. If the standard deviation is*s=*5, would a score of X= 55 be considered an extreme value? Why or why not? - Hypothesis testing allows researchers to use sample data, taken from
a larger population, to draw inferences (i.e., conclusions) about the
population from which the sample came. Hypothesis testing is one of the
most commonly used inferential procedures. Define and thoroughly explain
the terms
*null hypothesis*and*alternative hypothesis*. How are they used in hypothesis testing? - Define the term standard error. Why is the standard error important
in research using sample distributions? Consider the following scenario:
A random sample obtained from a population has a mean of µ=100 and a
standard deviation of σ = 20. The error between the sample mean and the
population mean for a sample of
*n =*16 is 5 points and the error between a sample men and population mean for a sample of*n =*100 is 2 points. Explain the difference in the standard error for the two samples.

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