Suppose that in a particular geographic region, the mean and standard deviation of scores on a reading test are 100 points, and 12 points, respectively

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Suppose that in a particular geographic region, the mean and standard deviation of scores on a reading test are 100 points, and 12 points, respectively. Our interest is in the scores of 55 students in a particular school who received a mean score of 96. We can ask whether this mean score is significantly lower than the regional mean - that is, are the students in this school comparable to a simple random sample of 55 students from the region as a whole or are their scores surprisingly low?

a) Which test should used and why?

b) Perform an appropriate test and give your conclusion.