1. Suppose it is known that the IQ scores of a certainpopulation of adults are approxi- mately normally distributed witha standard deviation of 15. A simple random sample of 25 adultsdrawn from this population had a mean IQ score of 105.
a) Would we be able to reject Ho if we were to test it at 1%significance level? Explain.
b)Construct and interpret the 95% confidence interval forpopulation average IQ from these data.
c)Based on the 95% CI, is there evidence at 5% significancelevel that the average IQ in this population is not equal to 100?Explain.
