Question

please do all the steps. its a but long but please do all the steps please do each step carefully and correctly please!.. this himework is very important for me please.

Stat 1 Introduction to Statistical Methods (I5 points) Question 6. Below table shows elementary statistics quiz scores of the students from each questions. sample drawn. Use One-way ANOVA method to answer following Sample15 10 F-Distribution Table F- Distribution (a-0.05 in the Right Tail df Numerator Degrees of Freedom 16145 19950 215.7 22458 23016 2339 236.77 238.88 24054 19.330 19.353 9371 19 385 0.128 9.5521 92766 91172 90135 9406 88867 8.8452 8.8123 7.70869.944365914 3882 256 6.1631 0942 60410 69988 6.6079 5.7861 5.095 5.1922 0503 49503 48759 48183 4.7725 59874 5.1433 47571 45337 43874 42839 42067 41468 40990 5914 4.73744.3468 41203 39715 3.8660 3.7870 3.7257 3.6767 5.3177 44590 40662 38379 3.6875 35806 35005 3.4381 3.3881 4.2565 38625 3633 34817 33738 32927 32296 3.1789 49646 4.1028 37083 3.4780 33258 3.2172 3.1355 3.0717 3.0204 4.8443 3.9823 35874 3.3567 3.2039 3.0946 30123 2.940 2.8962 47472 38853 34903 32592 3.1059 29961 2.9134 2 8486 2.7964 46672 3.8056 34105 3.1791 30254 2.9153 28321 2.7669 2.7144 46001 3.7389 33439 3.1122 29582 2.8477 2.7642 26987 26458 54313.682332874 6 2.9013 2.7905 2.7066 26408 25876 4.4940 363373.2389 3.0069 28524 2.7413 26572 2.5911 2.5377 44513 3.5915 3.1968 2.9647 28100 2.697 26143 2.5480 24943 44139 3.5546 3.1599 2.9277 2.7729 2.6613 2.5767 25102 24563 43807 35219 3.1274 289512.7401 26283 2.5435 24768 24227 4.3512 34928 30984 2866 2.7109 2.5990 25140 24471 23928 .3248 3,4668 3.0725 28401 2.6848 2.5727 24876 24205 2 3660 4.3009 34434 30491 28167 26613 2549 24638 2.3965 23419 427933.422 30280 2.7955 2.6400 25277 24422 2.3748 2.3201 42597 3.4028 30088 2.7763 26207 2.5082 24226 23551 2.3002 42417 3.3852 29912 2.7587 26030 24904 24047 23371 22821 42252 33690 2.9752 2.7426 2.5868 24741 23883 23205 2 2655 4.21003.354 2.9604 2.7278 2.5719 24591 23732 2.3053 22501 .1960 3.3404 2.9467 2.7141 2.5581 24453 23593 2.291322360 851319.000 19.164 19247 19296 5.1174 10 12 13 16 17 18 19 21 28 4.18303327729340 2.7014 2.5454 24324 2.3463 2.2783 2.2229 30 4.1709 3.3158 2.9223 2.6896 25336 2420S 2.3343 2.2662 22107 0847 32317 2.8387 2.6060 24495 2.3359 2.2490 2.1802 2.1240 4.0012 3.1504 2.758125252 2.36832.2541 2.1665 20970 20401 3.9201 30718 26802 24472 2.2899 2.1750 20868 2.0164 19588 120 3.8415 2.99572.6049 2.3719 2.2141 20986 20096 19384 18799 Stat 1 Introduction to Statistical Methods Following information is provided for convenience. 5,3-7.95 , -2.78 a) Define null hypothesis in terms of three means b) Identify the value of test statistic. Use c) Identify the numerator degrees of freedom and denominator degrees of freedom d) Identify the critical values using given F -distribution table. Use a 0.05 e) Do you reject Ho or not? Explain your answer in terms of test statistic and critical value on F-distribution graph. Stat 1 Introduction to Statistical Methods f) If you concluded that there is a difference in means of three samples, use Tukey's HSD Test to determine which sample is different.

Answer 1

After performing oneway ANOVA in SPSS software, the results are given below ANOVA values Sum of Squares df Mean Square Si 11.083 Between Groups 22.167 297 2 1.395 Within Grou 71.500 7.944 93.667 Total a). Null Hypothesis: There is no significant difference between the three means. b) from the above table the test statistic value is given by 1.395 c). from the above table, the numerator (error) degrees of freedom is given by 9 and the denominator degrees of freedom is given by 2 d) the critical value for F statistic is Fr29,0.05) 4.2565 e) Conclusion: Since, Fcalculated) < F(critical) and p-value is 0.297 Hence, we do not reject the null hypothesis and conclude that There is no significant difference between the three means