Solution:
Here we use two sampel t test as below
b)
Solution ; Now for simplicity we use walmart as Trecetment I Target as Trecetment 2. Now t-test as given and a DA Trecetment 2, Ans, g). Ho: Mw=lt Versus Ho: Mindle
Treatment 1 (X) 896 585 493 813 955 876 694 644 670 941 833 1021 816 862 832 876 740 1042 831 Diff(X-M) 80.40 -230.60 -322.60 -2.60 139.40 60.40 - 121.60 - 171.60 -145.60 125.40 17.40 205.40 0.40 46.40 16.40 60.40 - 75.60 226.40 15.40 76.40 Sq. Diff(x - M2 6464.16 53176.36 104070.76 6.76 19432.36 3648.16 14786.56 29446.56 21199.36 15725.16 302.76 42189.16 0.16 2152.96 268.96 3648.16 5715.36 51256.96 237.16 5836.96 892 Treatment 2(X) 844 624 458 691 1008 832 616 606 622 906 837 957 768 777 862 851 747 1037 781 807 Diff(X-M) 62.45 - 157.55 - 323.55 -90.55 226.45 50.45 - 165.55 - 175.55 - 159.55 124.45 55.45 175.45 - 13.55 -4.55 80.45 69.45 -34.55 255.45 -0.55 25.45 Sq. Diff(x - 2)2 3900.00 24822.00 104684.60 8199.30 51279.60 2545.20 27406.80 30817.80 25456.20 15487.80 3074.70 30782.70 183.60 20.70 6472.20 4823.30 1193.70 65254.70 0.30 647.70
Difference Scores Calculations Treatment 1 N : 20 df = N - 1 = 20 - 1 = 19 MY: 815.6 551:379564.8 521 = SS/(N - 1) = 379564.8/(20-1) = 19977.09 Treatment 2 N2:20 df2 = N - 1 = 20 - 1 = 19 M2: 781.55 SS2: 407052.95 22 = 552/(N - 1) = 407052.95/(20-1) = 21423.84 T-value Calculation s?p= ((df/(df4 + df) * 5?1) + ((df2/(df2 + df2) * 522) = ((19/38) * 19977.09) + ((19/38) * 21423.84) = 20700.47 SPM, = 52/ N1 = 20700.47/20 = 1035.02 SPM, = 52 / N2 = 20700.47/20 = 1035.02 t= (M- M2)/1+ sẽm2) = 34.05/72070.05 =
Therefore value of test statistic is 0.7484 where test statistic is formula for či- žz t= V 32 (netto) (23-)= 2 ( 12; -) ? n₂ 5? nit ₂-2 Now o find and Critical value when L = 0.05 duf - ni+n2 -2 = 20720-2 = 38
Now find value Correspounding to 38 dif and x = 0.05 in the t-table given below - Critical point when 2=0.05 is 2.0244 Noo Here. test statistic < t-table value Hence we accept Ho d) u fail to • fail to reject Ho ie. the claim that Uwe is equal to ly because the test statistic is less than the critical point. Thank you!! please like it...