Stat 300
Exam 4 Study Guide (Chapters 6 & 7)
100 points – problem weights in [ ]
Problem 1 [2]

Decide what distribution to use “z” or “t”.
Problem 2 [5]

Problem 3 [2]
Problem 4 [1]


Problem 5 [8]

Problem 6 [5]
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Problem 7 [3]
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Problem 8 [7]

Find “z” or “t” critical values given
confidence level or significance level.
Determine Type I and Type II errors.
Know the symbol used for the probability
of committing a Type I and Type II error.
Find the margin of error, construct a
confidence interval and give a conclusion
for a large sample mean.
Construct a confidence interval and give a
conclusion for a small sample mean.
Find the sample size given margin of
error for large sample mean.
Find a point estimate, margin of error, and
construct a confidence interval for a
population proportion.
Find sample size given margin of error for
a population proportion.
Use classical method of hypothesis testing
to test a claim about a large sample mean.
Use the p-value method of hypothesis test
to test a claim about a large sample mean.

Problem 9 [7]

Problem 10 [3]

Problem 11 [8]

Problem 12 [2]

Use classical method of hypothesis testing
to test a claim about a small sample mean.
Use a confidence interval to test a claim
about a population proportion.
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





Review section 6.2 #2
Review section 7.3 #1
Review section 6.1 #2
Review section 6.2 slides
Review section 7.1 #7
Review slides and notes
for section 7.1
Review section 6.1 #6

Review section 6.2 #5

Review section 6.1 #10

Review section 6.3 #8a, b

Review section 7.2 #4


Review section 7.2 #6
Review class assignment
from chapter 7
Review section 7.3 #5


Review section 6.3 #8c
(presented in the context of
hypothesis testing)
General


Know how the following changes affects
the width of a confidence interval
o confidence level 1  
o sample size
o using the “t” distribution instead
of “z” distribution
Know how to test a claim using
o the classical (traditional) method
o p-value from computer output
o Confidence intervals
See Vocabulary and formulas next page
Vocabulary and other items
estimator – estimate
point estimates and interval estimates
confidence interval
degree of confidence ; level of confidence
Type I and Type II errors
Formulas
Means
xE
xE
Ez
2
Et
2

n
s
n
; large samples
2
x  x
s
n
Proportions

x
p  n ; estimate p



E

p
p

E
p
; small samples,  unknown
z  
n   2  ; determine sample size
E 



x  x
z

; test statistic large samples
n
t
critical value
margin of error(E)
Student t distribution
Degrees of freedom
; test statistic small samples
 
pq
Ez
2
n
 

z
p
q



 ; sample size
n   2  2
E






2  

z
pp
pq
n
; test statistic