Content
outline of the course/module and the SLT per
topic
(Please Refer to Appendix A SM20103)
Chapter
1: PROBABILITY
Basic
probability concepts, probability law, joint & marginal
probability
Chapter
2: RANDOM VARIABLE
Random
variable concepts, discrete univariate distributions, continuous
univariate distributions, joint probability distributions for
discrete variables, joint probability distributions for continuous
variables, covariance, correlation and expectations.
Chapter
3: DISCRETE PROBABILITY DISTRIBUTIONS
Uniform,
Binomial, Poisson, Geometric, Multinomial, Negative Binomial and
Hypergeometric
Chapter
4: CONTINUOUS PROBABILITY DISTRIBUTIONS
Normal
distribution, t-distribution, Chi-square distribution and F
distribution.
Chapter
5: PARAMETER ESTIMATIONS
Point
estimation, properties of estimators, method of moments, method of
maximum likelihood and sampling distribution of means.
Chapter
6: ONE SAMPLE CONFIDENCE INTERVALS
Confidence
intervals for the mean based on the normal distribution,
confidence interval for the mean based on the t distribution,
confidence interval for the proportion based on the normal
distribution and confidence interval for variance.
Chapter
7: ONE SAMPLE TEST OF HYPOTHESIS
Tests
of hypothesis for the mean based on the normal distribution, test
of hypothesis for the mean based on the t distribution, test of
hypothesis for the proportion based on the normal distribution and
test of hypothesis for variance.
Chapter
8: TWO SAMPLE CONFIDENCE INTERVALS
Confidence
intervals for the difference between two population means based on
the normal distribution and t distribution, confidence interval
for the difference between two population proportions based on the
normal distribution and confidence interval for the ratio between
two population variances.
Chapter
9: TWO SAMPLE TESTS OF HYPOTHESIS
Tests
of hypothesis for the difference between two population means
based on the normal distribution and t distribution, tests of
hypothesis for the difference between two population proportions
based on the normal distribution and tests of hypothesis for the
ratio between two population variances.
Chapter
10: LINEAR REGRESSION AND CORRELATION
The
simple linear regression model, residual analysis and correlation.
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