The data set represents the scores of 12 randomly selected students on the SAT Physics Subject Test: Assume the population test scores are normally distributed and the population standard deviation 104- (Adapted from The College Board) 590 450 490 680 380 500 570 620 640 530 780 720 (a) Find the point estimate of the population mean. (6) Construct 90% confidence interval for the population mean_ Interpret the results. (c) Does it seem possible that the population mean could equal 6672 Explain. (d) Determine the minimum sample size required t0 be 95% confident that the sample mean test score is within I0 points of the population mean test score.