# STA 205 Study Guide - Quiz Guide: Quartile, Standard Deviation, Sampling DistributionExam

by OC2621139

Department

StatisticsCourse Code

STA 205Professor

Brooke BuckleyStudy Guide

QuizThis

**preview**shows page 1. to view the full**4 pages of the document.**1. A random sample

of

teachers in

Ken

t

uc

ky & Ohio

was

taken, and each teacher was asked

to

report

their

salary. The

data

has

been sum

ma

rized usi

ng

a histogram and boxplots on the formula sheet.

Use

the

output

to

fill-in the

description of the distribution below - you must include units

with

the values where appropriate. . ~ 9-i

ts

)

The distdbution of

~h

,

.1__::_1

,

cU12r.Ye.

6 has a shape that

is

ri#

~er.I

-~Â·

Th

e average

sa

lary wa!

3&

9 S7

;9:D

and

50%

of

those sampled had a yearly salary

of

:t

2a

s;r â€¢ !

~

lYl

a

fl

~

~:..J

~_ {

_or

more. The highest salary reported was ~

{)

':1

_;

from

a teacher in

the

state

K

of

_C

lOO..J'.:i.

The

lowest paid teacher was

from

the state

of

::1(

3

<:;,

31

<:/

and reported a yearly salary

. The middle

50%

of

the

and $-\Q\

~2

-9

S sampled teachers had salari

es

between

.

According

to

C.,'f'RJR\\

dieb

' S

0

~

~

0 7.

(fY

W\,t!Y~

'

)Rule, we expect

__

1

l52.

__

~

of

teachers in the

two

states

to

have yearly salaries between

; 32~ / j .

'?f::/

and ~y Y

Q_

L\LJ

J \ \ , (:three standard deviations

from

the

mean).

Teachers

in

the state

oi

'f

fJo

hltll

1Â°

adO!~ s

va

~:~

t :

a?.1:o

~~

n

~~

e

Ls

A graduate

considering teaching

in

one

of

these two states should consider

looking

for

a job

in

the

state of

~

C

'l,i

because

the

three quartiles

for

this state are larger than the corresponding quartiles in

the

other

state. If

we

assume

the

first

quartile

is

an estimate

for

the starting salary

of

a new teacher, a person teaching in Ohio could anticipate a

starting salary

of

approximately

$3e,8:'B

4:1-

~

~~

I

~

starting teacher in Kentucky could anticipate a

starting salary

of

3:t

Lf

00

Determine

if

each

of

the following statements

is

true

or

false.

Circle

your

response.

(2 pts each)

4. T

')(

e

~

The standard deviation

of

the

samplint

!ribution

is

always less than

the

standard deviation

s.8

-lo ~

IIP

\

6

.u

1(

:)

C7

of

the

populati'

tm

which the samples are selected.

False

For any distribution, 50%

of

the

of

the data

is

above the mean.

If

the

observed counts and the expected counts are very similar,

the

chi-square test statistic

will much larger than 0.

The innerquartile range (IQR)

is

a measure

of

spread.

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