A recent study was done comparing the IQ scores of women and men. In a sample of 19 women, the average IQ score was 101.6 with a sample standard deviation of 7.8, and for a sample of 12 men, the average IQ score was 102.2 with a sample standard deviation of 9.5. Use a 0.01 level of significance to test the claim that the average IQ score for women and men is the same. Show step by step: critical value, compute test value, and conclusion.
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