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Company A and Company B are two digital film producers, A study was conducted to determine if there is a significant difference in terms of running time (minutes) of montage video produce by them. The collected data is shown below. Company A Company B 102 81 86 165 98 97 109 134 92 92 87 114 Test the hypothesis at 0.I level of significance that of = of against the alternative that of > of, where of and of are the variances for the running times of montage video produced by Company A and Company B. respectively. Assume the distribution of times to be approximately normal. SOLUTION Find the following value. Do coloulations in 3 decimal places. 5 - Test statistic, Fo = Numerator = Denominator = Critical value = Write your answers here: Conclusion:The following data give the times of 15 girls when they were put on ultraheavy rope-jumping program. Someone thought that such a program would increase their speed in the 40-yard dash. Let D equal the different in time run the 40-yard dash - the "before program time (x)" minus the "after-program time (v)". Assume that the distribution of D is approximately normal. N(up. 63). Test the null hypothesis Ho: jip = 0 against the alternative hypothesis Hipp > 0. Use a = 0.1 24.97 23.98 22.93 22.83 22.38 22.39 22.76 21.66 22.98 23.17 24.76 23.63 23,41 22.75 22.91 22.34 21.82 21.68 23.80 22.53 23.80 23.61 22.10 22.74 22.08 21.95 21.80 21.58 22.84 23.58 ( .par r) SOLUTION: 'ind the following value. Do calculations In 3 decimal places. D Sp Test statistic, fo Critical value (ib) (iii) (iv) Write your answer here [iv) Conchaion #A biscuit production manager wants to investigate the linear relationship between the number of items produced and the production cost. To pursue his/her objective, the manager recorded the data on the number of items produced per day and the production cost per day (in thousands of Malaysian Ringgit) as shown in Table 3 Table 3 Days 1 2 3 4 5 6 7 8 9 10 11 12 Number of items, (x) 26 44 53 40 77 80 20 20 67 86 17 10 Production cost, () 21 60 69 47 50 98 39 55 85 104 37 20 a) Norne the TWO (2) most popular correlation coefficients. Pearson 07-table OT-table OChi-square OSpearman Calculate the correlation coefficient, r. x Y xy 26 21 676 44 2640 1936 3800 53 69 3657 2809 4751 47 1880 2209 17 50 3850 5929 2500 98 7840 6400 9604 20 39 400 1521 20 1100 400 3025 67 5095 4489 7225 104 8944 7396 10816 17 37 625 289 1369 10 20 200 100 400 Ey= Exy: "Answer should be up to 4 decimal place (dp) Based on the correlation coefficient, robtained, make a conclusion on the linear relationship between the number of items produced and the production cost. Interpretation there is a :linear relationship between the number of items produced per day and the production cost per dayTable 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly selected students from each of the THREE (3) botches. Does this data provide evidence that there is any significant difference in the results throughout all the botches? Test the appropriate hypothesis using 95% significance level (Note: please provide your answer in 3 dp.) Toblo 5 Batch I Batch 2 Balch 3 885 915 805 87.0 873 72.1 74.5 79 884 73 781 954 88 771 Hypothesis statement He at least one mean is aWerent 1) Find the parameters for each batch; Butch try=5, 7, = Batch 2: no-5, 19- Batch 3: m-5, 31= 2) Find the variance between samples nay: +3 = ns 3) Find variance within samples $ 3 = 4) Test statistics: F = 5) Determine the degree of freedom Numerator Denominator () Critical value. 7) Decision and conclusion