In Exercise X6.15 we assumed that the two population variances are equal. Conduct an appropriate test to check if the variances are equal (test at 5% and 1%).

Data from Exercises 6.15

During an examination board concerns were raised concerning the marks obtained by students sitting the final year advanced economics (AE) and e-Marketing (EM) papers (Table 6.6).

Historically, the sample data varies as a normal distribution and the population standard deviations are approximately equal. Assess whether there is a significant difference between the two sets of results (test at 5%).

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AE 51 66 50 48 54 83 68 48 45 Table 6.6 AE 63 35 9 39 35 44 68 36 EM 71 69 63 66 43 34 57 58 68 EM 68 53 65 48 63 48 47 53 64 EM 61 59 55 66 61 58 77 73 54