Data Analysis with R (M.Sc.) - 1

In the test of Table 1

• We reject H₁ for α=5%

• We do not reject the alternative hypothesis for α=5%

• We reject the null hypothesis for α=1%

• We accept the null hypothesis for α=1%

From Table 1, the p-value is

• 0.05

• 0.0123

• 0.00123

• 1.23%

From Table 1, the final conclusion is that

• Area and salary are independent

• Area and salary are associated

• Area and salary are disconnected

• Area and salary are linearly correlated

In the analysis of Table 2, we test for

• H₀: μ₁=μ₂=μ₃=μ₄ vs H₁: μ₁≠μ₂≠μ₃≠μ₄

• H₀: σ₁=σ₂=σ₃=σ₄ vs H₁: σ_i≠σ_j for some i,j=1,2,3,4 and i≠j

• H₀: μ₁=μ₂=μ₃=μ₄ vs H₁: μ_i≠μ_j for some i,j=1,2,3,4 and i≠j

• H0: M₁=M₂=M₃=M₄ vs H₁: M_i≠M_jfor some i,j=1,2,3,4 and i≠j

From Table 2 and for α=5%, we reach the conclusion that:

• the median salary does not differ for different areas

• the mean salary does not differ between different areas

• the median salary differs between different areas

• the variance of the salary differs between different areas

From Table 3, the mean of Europe (baseline/reference level)

• differs from the rest of the world by 53.975 units

• differs from Zurich by 53.975 units

• is equal to 53.975

• None of the other answers is correct

The effect of America from Table 3 shows that

• Europe (intercept) is higher by 20.92 units on average

• that the mean of America is equal to 20.92

• Europe (intercept) is lower by 20.92 units on average

• None of the rest answers is correct

From Table 4, we conclude that

• The assumption of Normality is reasonable for α=5%

• The variances are not equal for α=5%

• Normality cannot be assumed for α=5%

• Homoscedasticity assumption can be assumed for α=1%

From Table 5, we can conclude that

• The assumption of Normality is reasonable for α=5%

• The variances are not equal for α=5%

• Normality cannot be assumed for α=5%

• Homoscedasticity assumption can be assumed for α=10%

From Figure 1, we can conclude that the mean European salary is

• the same with the mean salary of all other areas

• higher only than the mean salary in Africa

• higher only than the mean salary in Asia & Australia

• higher than the mean salary in all other areas