5 If we take random samples of size n = 6 from this population, the number of possible samples is: 11,367,345,853 11,254,797,874 11,143,364,232 11,033,033,893 6 The expected value (mean) of sample means is equal to: $468.22 $472.67 $474.17 $478.16 7 The variance of sample means is: 10804.17 11629.46 1715.22 1805.49 8 The sample standard deviation is, 108.10 103.94 99.95 96.10 9 The standard error of the sample mean is, 42.49 40.86 39.29 37.77* AutoSave Off ) E270 HW4 FA22 File Home Insert Page Layout Formulas Data Review View Help Acrobat & Cut Cambria 11 ~A A" E ab Wrap Text General Paste LG Copy E Merge & Center $ ~ % " Condition BIU~ ~ ~A Formatt Format Painter Undo Clipboard Font Alignment Number F15 : X fx A B D E F G H J K L M N 45 To avoid the discrepancy, do all your calculations in Excel without rounding 46 47 Questions 1-4 are based on the following; 48 A statistics instructor asks each student in his classes to report how much the student spent on textbooks for the 49 semester. The figures reported by students are shown below. 50 51 560 230 560 320 550 460 500 315 550 52 345 590 565 585 400 370 405 475 435 53 425 480 435 350 330 425 400 435 515 54 565 480 430 355 380 240 510 450 395 55 550 545 530 525 600 440 630 390 575 545 335 525 590 440 265 515 580 445 495 410 430 490 355 435 545 300 560 400 520 555 530 470 605 395 380 525 195 520 465 445 520 795 380 620 530 465 620 450 650 515 270 500 415 460 575 360 335 565 525 510 525 405 455 62 570 490 480 450 435 390 255 635 445 63 370 485 390 645 335 505 665 440 525 64 590 330 385 395 510 445 640 415 360 65 610 395 510 630 635 695 560 385 435 66 475 445 160 525 370 525 690 395 435 68 Treat the data above as POPULATION data. 69 1 The mean expenditure on textbooks by all students is: 70 $463.22 71 $472.67 72 $482.32 73 $492.16 74 75 2 The variance of the expenditure on textbooks by all students is: 76 a 10,195.89 77 10,403.97 78 10,616.30 79 d 10,832.96 80 81 The instructor takes a random sample of size from the population data and obtains the following sample data: 82 83 84 385 85 525 86 355 87 525 88 630 89 425 90 91 3 The sample mean is: 92 a $474.17 93 $483.84 94 $493.72 95 $503.79 96 97 The sample variance is: 98 a 8,751.38 99 9,723.75 100 10,804.17 101 d 12,004.63 102 E270 HW4 + Ready Accessibility: Investigate