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3) in a study of 31950000 (3195 million) for a country's population, 533000 Covid-19 cases have been detected within 15 months. Construct a 95% confidence interval for the proportion of people that confirms Covid-19. n = 31950000 somple proportion p (3 dp] critical value of Z= [3 dp.] standard error The 95% confidence interval for the proportion of people that confirms Covid-10 is *) In a study of all residents from City A sixty Covid-19 cases have been detected. Among these confirmed cases, most of them have the symptoms of fever. The following temperatures (C) of a resident were collected within fourteen days of self-quarantine. 36.3 3715 35 8 36.6 36.2 38.6 384 37.9 35 8 38.0 38 3 371 373 3615 With the use of t-test to perform the hypothesis testing when variance of population is unknown at the 95% significance level, do the data provide sufficient evidence to conclude that the average temperature of all residents from City A is more than 37.0 'C? Stop 1: Hypothesis Statement Null Hypothesis Ho: / Atemotive Hypothesis H: / Step 2 Test Statistic n = 14 I = 37.2"C [3dp.] t-test [3dp.] Step 3: Significance Level @ Level of Confidence critical volun of t = [3 dp.] Stop 4: Conclusion / Decision RuleCompany 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 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. Test statistic, Fo - Numerator = Denominator = (v) Critical value = Write your answers here: (i) (11) (in) 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 (y)". Assume that the distribution of D is approximately normal. N(up. 53). Test the null hypothesis Ho:up = 0 against the alternative hypothesis Hipp > 0. Use a = 0.1 y 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 SOLUTIONE: find the following value. Do calculations In 3 decimal places. D Sp Test statistic, to Critical value (iv) Write your answer here: 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. OPearson 07-table OT-table OChi-square Spearman b) Calculate the correlation coefficient, r. Y xy 26 21 676 44 60 2040 1936 3600 53 69 3657 2805 4761 47 18:80 2209 50 3650 5929 2500 BO 98 7840 9604 20 39 780 400 152 20 55 1100 400 3025 67 4489 7225 104 8914 7396 10816 17 37 529 289 200 100 400 EV= 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 ddip.) Toblo 5 Balch I Batch 2 Balch 3 885 015 805 87.0 873 74.5 79.3 884 74.3 781 954 88.0 77.1 Hypothesis statement Hy at least one mean is different 1) Find the parameters for each batch Butch bon=5, 3, = Batch 2: no-5, 29- Batch 3: n, 5. 3," 2) Find the variance between samples nay: 43 = 3) Find variance within samples,s 4) Test statistics: 5) Determine the degree of freedom Numerator Denominator 6) Critical value 7) Decision and conclusions