# 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.

## Tutor Answer

## Review from our student for this Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors