USE EXCEL PLEASE

5. According to College Board, national average SAT score (Math section) in 2017 has been 500 with standard deviation of 102. We took a random sample of 50 students who took SAT (math section) in 2018. The scores obtained by these 50 students are as follows: 475 610 760 440 390 510 545 680 590 440 290 400 650 660 410 385 410 540 770 320 495 600 465 450 770 470 570 625 535 455 620 380 510 535 555 450 495 335 365 360 700 400 455 505 505 385 695 250 600 415 a. Perform a chi square goodness-of-fit for normal distribution to see if 2018 scores are similar to 2017. Use 0.05 level of significance and 5 equally probable intervals to perform this test. b. What is the p-value for this test? Would you have changed your decision if you did the test using a = : 0.01? Make sure you formulate your null and alternative hypothesis as it relates to the wording of this situation