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The average grade of a design course in engineering department is 179/200. Ms. Smith, the course instructor, remarked five exam papers having the following grades:

The average grade of a design course in engineering department is 179/200. Ms. Smith, the course instructor, remarked five exam papers having the following grades:

155, 179, 175, 175,161

Assuming the normal distribution, identify whether there is enough evidence in the sample, at the 5% level of confidence, to presume that the average grade of the final exam is less than 179?

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