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# SMF 3261: STATISTICS (45 LH)

## PURPOSE OF THE COURSE

To give the student of Agriculture a good grounding in the basics of Probability and Statistics.

### EXPECTED LEARNING OUTCOMES

By the end of the course the learner should be able to:

1. Solve problems in probability
2. Determine standard probability distributions of discrete and continuous variables
• Make inferences from samples with respect to confidence intervals and tests of hypotheses.

### COURSE CONTENT

Fundamentals of statistics: variables and measurements; nominal, ordinal, interval, scale. Data collection techniques. Data classification, principles of data tabulation and graphic representation of data. Sampling techniques; probabilistic, non-probabilistic exploratory data analysis, data screening and transformation techniques. Measure of central tendency for grouped and ungrouped data; average, median, mode. Measures of dispersion: spread, range, mean deviation, variance and standard deviation, quartiles, deciles and percentiles. Probability; Definitions, probability Axioms, compound events, conditional probability, independent and mutually exclusive events, tree diagrams. Simple linear regression.  Random variables. Discrete probability distributions and density function; Bernoulli, binomial and Poisson. Continuous probability distributions and density functions: normal, student’s sampling distributions. Statistical inference. Estimation; Point estimates, interval estimation. Confidence intervals. Test of hypothesis: parametric test; normal z test, F and t test, non-parametric test; chi-square test