SSC CGL Tier-2 14th September 2018 Statistics
For the following questions answer them individually
If $$X_1, X_2, ...... X_n$$ is a simple random sample without replacement of size n from a finite population of N units with mean $$\mu$$ and $$\sigma^2$$, the covariance of $$(X_i, X_j)$$ will be:
Which of the following approaches does multiplicative model have for the component of Time series Secular trend (T) , Seasonal variation (S) , Cyclical fluctuation (C) and Irregular movement(I) ?
Let x and y be two variables with variance as 1990 and 796 with 11 and 9 number of observations respectively. The value of F(10, 8) at 5% level of significance is:
If Arithmetic mean and coefficient of variation of x are 10 and 40 respectively, then the variance of y = 10 - 2x is:
Let MSA defines mean sum of squares due to factor A and MSE defines mean sum of squares dueto error. If the null hypothesis of ANOVA for one way classification is not true, then $$\frac{E(MSA)}{E(MSE)}$$ is:
If $$Z_1, Z_2, ..., Z_n$$ are $$n$$ independent standard normal variates, then $$\sum_{i=1}^n Z^2_i$$ will follow:
The coefficient of correlation is r between X and Y having standard deviation $$\sigma_x$$ and $$\sigma_y$$ . The tangent of the angle
between two lines of regression is:
