An educational consultant claims that the average IQ of high school students in a particular city is at least 110. To verify this claim, a school board selects a random sample of 20 students and administers an IQ test. The sample's average IQ is 106 with a standard deviation of 15. A. Test the consultant's claim at a significance level of = 0.05 using the p-value method. B. Calculate the 95% confidence interval for the true mean IQ. C. State the null and alternative hypotheses, calculate the test statistic, determine the critical value or p-value (if applicable), and draw a conclusion based on the significance level a = 0.05. D. Find type 1 and type 2 error probabilities.