To introduce statistical methods with a strong emphasis on applying standard statistical techniques appropriately and with clear interpretation.

To introduce students to an appropriate statistical software package.

(LO1) To have a conceptual and practical understanding of a range of commonly applied statistical procedures.

(LO2) To have developed some familiarity with an appropriate statistical software package.

(S1) Problem solving skills

(S2) Numeracy

(S3) IT skills

(S4) Communication skills

Single sample of continuous random data.
Sampling distribution of the sample mean, with (a) variance known; (b) variance unknown.
The Student t-distribution.
Hypothesis testing, type I and type II errors.
Confidence interval for the population mean.
Estimation.
Method of moments.
Unbiasedness.
Two samples of continuous random data.
Sampling distribution of the sample mean difference.
Confidence interval for the population mean difference.
Comparing the means of two independent groups using the t-distribution.
F-test for equal variances.
Paired comparisons.
Several samples of continuous random data.
Comparing the means of several independent groups: one way analysis of variance.
Distribution-free tests and exploratory data analysis.
Probability plots.
Sign test, Wilcoxon tests for (a) paired data; (b) two independent groups.
Relationships between continuous variables.
Simple linear regression and corr elation.
Least squares estimation.
Hypothesis testing and confidence intervals.
Aids to interpretation.
Residual plots.