# The i.q. of 16 students from one area of a city showed a mean of 107

The I.Q. of 16 students from one area of a city showed a mean of 107 with a standard deviation of 10, while the I.Q.’s of 14 students from another area of the city showed a mean of 112 with a standard deviation of 8. We want to perform a test to see if there is a significant difference between the scores in these two cities.
(A) What is the p-value?
(B) What is the test statistic?
(C) What would the hypothesis be for such a test?

(550 words)

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