question archive Assume that we like to test the followings with alpha is 0
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Assume that we like to test the followings with alpha is 0.05. H0: variance of Asia = variance of Latin America H1: variance of Asia > variance of Latin America Also assume that both data are normal. Using the following data , write down the p-value of an appropriate test for H0 and H1 above with 3 decimal points.
Data for Asia =c(1897, 2054, 2296, 2888, 3322)
Data for Latin America =c(1020, 905, 967, 1165, 1285)
p value = 0.0113
Step-by-step explanation
we need to calculate our sample variances . Asia L. America 1897, 2054, 2196,2865, 3322 1020, 905 967, 1165, 1285 M1 =5 1 = 5 X, = - 7 Xi = 2491.4 X1 =L Ski = 1068 .4 19 , = 1 n -1 = 357495-8 23892 .5 Given Hee Null hypothesis = 51 =6,2 Alternativ The test is one tailed ( Right-tailed ) OUT F-statistic = S, 357439. 8 23892 .8 = 14.96 Our P Value is 0:01 13 Reject the Null hypothesis.