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Problem Code: 1812Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoreticalprobabilities for each roll should be:12345616 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 84 times and come up with the following distribution:12345612 11 20 12 15 Part a:What type of test should be used in this situation?Part b:State the hypothesis. Part c:What is the test statistic? Part d:Find the -value and state your conclusion. 14 a) I have placed my work and my answer on my answer sheet.b) I want to have points deducted from my test for not working this problem.Question 19Your answer is CORRECT.This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. Aproctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit.Problem Code: 1953The following data are for intelligence-test (IT) scores, reading rates (RR), and grade-point averages (GPA) of 8at-risk students.IT155 171 210 198 172 183 182 169RR4633392430364623GPA 3.0 2.2 2.4 1.5 1.9 2.4 2.9 1.3Part a: Calculate the line of best fit that predicts the GPA on the basis of RR scores.Part b: Calculate the line of best fit that predicts the GPA on the basis of IT scores.Part c: Which of the two lines calculated in parts a and b best fits the data? Justify your answer.a) I have placed my work and my answer on my answer sheet.b) I want to have points deducted from my test for not working this problem.