ELEMENTARY STATISTICS TEXT: Elementary Statistics…mtsac.edu/math/courses/math110h.pdf · MATH...

MATH 110H HONORS OUTLINEELEMENTARY STATISTICS

TEXT: Elementary Statistics, 10th Edition, Triola

Approved: APRIL 2006 Effective: FALL 2006

MATERIAL TO BE COVERED

SECTIONS

FROM TEXT TIME LINEIntroduction to statistics - descriptive statistics: summarizing data,

graphing, averages, dispersion statistics, measures of relative standing.

(Optional: exploratory data analysis)

Chapter 1 &

2.1 - 3.4

Optional: 3.5 5 Hours

Probability: fundamentals, addition rule, multiplication rule, complements.

(Optional: probabilities through simulations, counting.)

4.1 - 4.5

Optional 4.6 & 4.7 4 Hours

Probability distributions: random variables, mean, variance and

expectation, binomial random variable. (Optional: poisson random

variable)

5.1 - 5.4

Optional: 5.5 4 Hours

Normal probability distributions: standard normal, nonstandard normal,

finding scores when given probabilities, central limit theorem, normal

approximation to the binomial, determining normality. 6.1 - 6.7 4 Hours

Estimation and sample size (single parameter): mean, proportion.

(Optional: variance. Omit: sample size for variance)

7.1 - 7.4

Optional 7.5 4 Hours

Hypothesis testing (single parameter): mean, p-value, t-test, proportion.

(Optional: standard deviation & variance)

8.1 - 8.5

Optional 8.6 5 Hours

Hypothesis testing (two parameters): comparing two means (dependent

or independent samples), proportions. (Optional: variances and

confidence interval estimates)

9.1 -9.4

Optional 9.5 4 Hours

Correlation and regression: linear correlation, linear regression. (Optional:

variation, multiple regression, modeling)

10.1 - 10.3

Optional 10.4 - 10.6 2.5 Hours

Applications of Chi square: multinomial experiments, contingency tables.

(Optional: McNemar's test.)

11.1 - 11.3

Optional: 11.4 2.5 Hours

Analysis of variance: one-way with equal and unequal sample sizes.

(Omit: two-way anova)

12.1 - 12.2

Omit 12.3 2.5 Hours

Optional: Nonparametric statistics and statistical process control.

Optional Chapter 13

and 14.2

*** One hour = 1 hour of face time. ****This outline allows for 4 hours of exams.

16 Week Term: 1 week = 2.8333 hours (face time) 6 Week Term: 1 week = 7.5 hours (face time)

NOTE:

** See reverse side for important Department Policy**

Submitted by: Butler, Franko, Galbraith, Guth, Johnson, Kim, Sholars, Troxell.

The course will include an introduction to the use of computers in statistics. Instructors are encouraged, where

practical, to incorporate computer demonstrations and computer assignments in their courses. Between 10%

and 15% of the course grade should be based on the students' ability to appropirately use computer software,

interpret the results and turn in homework. The software used in the class will be determined by the instructor.

Approximately 5% of the course grade should be based on a project involving a deep exploration of an

application of statistics, or a study using statistical analysis devised and conducted by the student. Since this is

an Honors class, topics should be presented in more depth and should include many current real world

applications.