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Because of the rising costs of industrial accidents, many chemical, mining, and manufacturing firms have instituted...

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Statistics

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 1   Course 2
Sample Mean   12.3750   19.1250
Sample SD   2.7222   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?

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