In-class activity rules for students.
This is a timed activity!
Teams of four:
• Everyone reads the paragraph and discusses which normal distribution is being
discussed. All must agree on the answer.
• Roles: You may guide your teammates to finishing their task but you cannot do
their task for them!
o Role #1: One person writes down the words/phrases in the english
paragraph that led the team to conclude which normal distribution is being
represented.
o Role #2: One person writes down the symbols/notation and the mean and
standard deviation formulas that correspond to the normal distribution.
o Role #3: Another person substitutes the appropriate numerical values into
the mean and standard deviation formulas and calculates the results.
o Role #4: The last person draws the normal distribution model with results
of the mean and three standard deviations each way.
• Expected Social Behaviors: Equal participation, checking for consensus, polite
disagreement.
• You are not required to answer any question posed within the paragraph.
• Switch Roles: For the next paragraph interpretation, each team member chooses a
Role that they did not have before.
HINT: The four generic types of normal distributions taught in the course
so far are (in symbols)
z
,
x
,
p
ˆ
,
x
.
NORMAL DISTRIBUTIONS
Do you take a sample of size greater than one?
NO YES
Population Distribution Sampling Distribution
Standard Normal
otherwise proportion of mean of
Curve sample sample
Z X
p
ˆ
x
1
0
=
=
σ
µ
σ
µ
(
)
( )
n
pp
pSD
pp
)1(
ˆ
ˆ
−
=
=
µ
(
)
( )
n
xSD
x
σ
µµ
=
=