Researchers collected data on mother’s and father’s IQ of 36 randomly sampled gifted children. The histogram below shows the distribution of mother’s IQ, whose average is 118.2 and standard deviation is 6.5. (a) Perform a hypothesis test to evaluate if these data provide convincing evidence that the average IQ of mothers of gifted children is different than the average IQ for the population at large, which is 100. Use a significance level of 0.10. (b) Calculate a 90% confidence interval for the average IQ of mothers of gifted children. (c) Do your results from the hypothesis test and the confidence interval agree? Explain.

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