(b) The average IQ score for 10-ycar-old children in the population is believed to be 100. A rescarcher conducted IQ tests in a sample of 64 children and obtained an average IQ of 103.25, with a sample variance of 196. Perform a hypothesis test with a 0.05 to test the claim that the IQ of 10-ycar-old children is greater than 100: i. State the null and alternative hypotheses. Explain the notation you use. (5 marks) ii. Calcul te the test statistic. (5 marks) iii. Compute the p-value. (5 marks) iv. State the conclusions. (5 marks)