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MATH 10043.045
FALL 2012
FINAL EXAM INFORMATION SHEET
The Final Exam for Math 10043.015 will be held on Thursday,
December 13th, from 11:30 a.m. – 2:00 p.m.
•NOTE: To determine course grade, the following formula will be used, as stated in the
course syllabus:
Course grade = (HC average)*0.10+(Exam average)*0.66+(Final Exam)*0.24
Remember that the Final Exam grade can replace the lowest exam grade up to 75
points.
Office hours during Final Exams Week: By appointment. NOTE: I will be checking
email until about 8:30 p.m. each evening.
Format of Final Exam: The Final Exam will have approximately 20 problems.
Questions will be roughly in the order in which the material was covered. Formulas
given on previous exams will be given. Formulas that were to be memorized for
previous exams must be known for the Final Exam. SEE attached FORMULA SHEET.
Suggestions for preparing for exam
Work through the problems on previous exams. Don't forget to review material you did
correctly! Use this to determine the topics upon which you should concentrate. You
may wish at that time to rework lecture examples, bonus quizzes, or practice problems
over those specific topics. Also, work practice & review problems over the new
material.
Check the battery level in your calculator; if necessary, replace batteries.
DO BRING pencils/pens/eraser and CALCULATOR. You may wish to bring a jacket,
cough drops, etc. Scratch paper will be provided. BE ON TIME! There will be NO
“coaching” during the exam. The ONLY questions answered will be those clarifying
wording or dealing with a calculator error message.
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Topics
Ch. 1: Definitions, including types of data (True/False or Multiple Choice).
Ch. 2: Definitions; frequency distributions, including class midpoint & relative
frequency; histograms; stem & leaf plots; dot plot.
Ch. 3: Definitions; mean, median, mode, midrange; range; standard deviation; mean
and standard deviation of frequency data (using 1-VAR STAT); Empirical Rule; z
scores; quartiles, five-number summary, interquartile range.
Ch. 10: Scatter plots; finding and interpreting the correlation coefficient; finding the
regression equation; making predictions when appropriate.
Ch. 4: Definitions; outcomes of an event, sample spaces; empirical & theoretical
probability; properties of probability; P(not A); P(A and B) with a table; P(A or B);
mutually exclusive events; P(A and B) in sequence, probabilities with and without
replacement; P(A | B) – Conditional probability.
Ch. 5: Random variables; using and constructing probability distributions; mean and
standard deviation of a random variable; probability with a binomial random variable,
mean and standard deviation of a binomial random variable.
Ch. 6: Finding probability or boundary with the standard normal distribution (i.e., the zdistribution); zα notation; finding probability or boundary with any normal distribution;
finding µ or σ of a normal distribution using the z-score formula.
Ch. 7: Confidence interval estimates for µ with σ known (with z) – using confidence
interval formula and using STAT TEST Z-INTERVAL; finding sample size; CIE for µ with
σ unknown (with t) using STAT TEST T-INTERVAL.
Ch. 8: Forming hypotheses; type I and type II error analysis; hypothesis tests for µ
using STAT TEST Z-TEST; hypothesis tests for µ using STAT TEST T-TEST; hypothesis
tests for p (proportions) using STAT TEST 1-PROP Z TEST.
Ch. 11: Goodness-of-Fit hypothesis test with chi-square distribution.
NOTE: I will try to answer email questions about Final Exam grades. However, my first
priorities will be grading exams, figuring course grades for all my classes, and my family
responsibilities.
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FORMULAS FOR FINAL EXAM
Summing a list on the calculator:
***If you are on the list screen, you must do 2ND QUIT
2ND LIST key [the LIST key is the same as the STAT key]
go to MATH menu
choose SUM (option 5)
2ND L#
ENTER
Variance & Standard Deviation:
2
s =
z-score:
!
# (x " x)2
n"1
z =
General addition rule:
x!x
s
s2
s=
!
z =
x"µ
#
P(A or B) != P(A) + P(B) – P(A and B)
Conditional probability rule:
P(A|B) =
P( A and B )
P(B)
Finding a binomial probability using the calculator:
2nd DISTR
[this is the VARS key]
binompdf
[option 0]
enter values for n, p, x
ENTER
Mean of a binomial random variable:
µ = np
Standard deviation of a binomial random variable:
"=
n pq
!
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Finding a probability for a normal distribution:
2nd DISTR
[this is the VARS key]
normalcdf
[option 2]
enter values for left boundary, right boundary, µ, σ
ENTER
Finding a z-value when you know a probability for a standard normal distribution:
2nd DISTR
[this is the VARS key]
invNorm
[option 3]
enter value for Area to the left of z
ENTER
Finding an x-value when you know a probability for a normal distribution:
2nd DISTR
[this is the VARS key]
invNorm
[option 3]
enter value for Area to the left of x, µ, σ
ENTER
z-score:
z =
x"µ
#
!
Confidence
interval with z for a population mean µ :
Sample size:
2
%z
# $(
"
'
*
*
n = ' 2
'
*
E
'&
*)
x ± z"
2
#
$
n
!
!
Chi-square goodness-of-fit test:
*
"2 =$
Test statistic:
2
df = k - 1;
(O #E)2
E
Ei = npi
.
2*
DISTR χ cdf (χ , H, df)
!
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