Because of the rising costs of industrial accidents, manychemical, mining, and manufacturing firms have instituted safetycourses. Employees are encouraged to take these courses designed toheighten safety awareness among them. A company is trying to decidewhich one of two courses to institute. To help make a decision,eight employees take course 1, and another group of eight takecourse 2. Each employee takes a test, which is graded out of apossible 25 marks. The safety test results of these employees areshown below. Assume that the scores are normally distributed.
Course 1Ă‚Â Ă‚Â Course 2
Sample Mean  12.3750  19.1250
Sample SDĂ‚Â Ă‚Â 2.7222Ă‚Â Ă‚Â 2.9970
SD=Standard Deviation
Do these data provide enough evidence at the 5% level ofsignificance to infer that the marks from course 1 are lower thanthose of course 2?
