Question: Question 1 (10 marks) (i) State FIVE (5) the characteristics of the F distribution. (ii) To test the hypothesis that two population variances are equal,

Question 1 (10 marks) (i) State FIVE (5) the characteristics of the F distribution. (ii) To test the hypothesis that two population variances are equal, a random sample of size 13 was selected from the first population, and a random sample of size 21 was selected from the second population. What are the degrees of freedom to test the hypothesis? (iii) To test the hypothesis that two population variances are equal, a random sample of size 13 was selected from the first population, and a random sample of size 21 was selected from the second population. Given that the sample standard deviation from the first population is larger than the sample standard deviation from the second population, what is the F critical value using 0.02 as the significance level?

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