6(a) The data below shows the scores recorded by two judges in a beauty competition (scores in %). Determine whether the opinions of the two judges agree. Judge A 75 25 15 65 50 70 45 Judge B 55 30 85 45 60 75 40 Scanned by CamScanner 6(b). A researcher observed that three out of every fifteen of their products are normally defective. A total of 200 sample of the products were being tested. If the sample is normally distributed and 45 of the products were identified to be faulty, construct a 95 percent confidence interval for the true population proportion of the defective items. 7. (a) The accountant attached to a training school wished to test the hypothesis that the mean monthly salary of the trainers in the school is less than N40,000 per month with standard deviation of monthly salary as N6,400. He then collected a sample of 64 trainers and found the average monthly salary as N44,000. Carry out this test at 5 percent level of significance, stating clearly your hypotheses. (b) A research observed that three out of every fifteen of their products are normally defective. A total of 200 sample of the products were being tested. If the sample is normally distributed and 25 of the products were identified to be faulty, test the hypothesis that the observation of the researcher is true at 5 percent level of significance