1. (3.5 marks) A psychologist hasrecently developed a training program for enhancing the emotional intelligence of children that come from a single-child family. The mean EQ, a standard measure of emotional intelligence, is generally found to be 12 scales points for children aged between 8 and 10 years who come from a single-child family. A random sample of n = 20 children was subjected to the program, whose post-training EQ were compared to those from the general population of single-child families. Descriptive Statistics Mean Std. Std. Error n Deviation Mean Emotional Intelligence 20 14.62 2.15 0.48 Test Results Test Value = 12 df Sig. Mean 95% Confidence Interval of Difference the Difference Lower Upper Emotional 2.62 1.61 3.01 Intelligence (a) Based on the research aim and study design, what statistical test is most appropriate to use? Explain your answer. (0.5 marks) (b) State the hypotheses for this scenario. (0.5 marks) (c) Write your decision using critical value method and confidence interval method. Relate it to the research question. (1 mark) (d) Based on the results, would we expect the p-value to be greater, less than, or equal to .05? Explain your answer. (0.5 marks) (e) As the degrees of freedom increase, what happens to the t-distribution? (1 mark)