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A researcher used a developed problem solving test to randomly select University first year students with a mean of 80 marks.The Science Professor tests this

A researcher used a developed problem solving test to randomly select University first year students with a mean of 80 marks.The Science Professor tests this by using a sample of 50 first year students and got the mean of 75 marks with standard deviation of 15.With 95% confidence level, prove that the researcher's test is working perfectly.

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