If six hand-writings were ranked by two judges in a competition and the rankings are as follows:

Then the value of Spearman's rank correlation coefficient is

 In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE= 399.6 The MSE for the analysis would be :

 The average of 25 numbers is 36. If the average of first 13 numbers is 32 and that of the last 13 numbers is 39, then the 13th number is

 An observation is drawn from an experimental distribution with mean θ, if the observation is found to be 2, and we test H₀ : θ>1 against H₁ : θ>1 with level e^­-3 then

 For a trivariate distribution, if the correlation coefficients are r₁₂ = r₁₃ = r₂₃ = r, -­1 < r < 1, then r_12.3 is:

Let x₁,x₂,....x_n be a random sample of size n from N (µ , σ²) population where µ and σ are both unknown. For testing H₀:µ = µ₀ against H₂:µ = µ₁(±µ₀) if one uses the test statistic

then H₀ is rejected at level ∝