SSC CGL Tier-2 10th August 2022 Statistics
For the following questions answer them individually
For completely randomised design for k treatments and n observations, $$y_{if}$$ = response from the $$j^{th}$$ unit receiving $$i^{th}$$ treatment, $$\sum_i \sum_j y_{ij} = y_{..}$$ and $$\sum_j^{ni} y_{ij} = y_{i.}$$. Which of the following options is correct?
Two data set of size 9 and 6 have standard deviation 3 and 4 respectively and arithmetic means 3 and 3 respectively. The standard deviation of combined data set of size 15 is
For the variables X, Y and Z, $$r_{XY} = 0.80, r_{XZ} = 0.64, r_{YZ} = 0.79$$, then square of multiple correlation coefficient $$R^{2}_{X.YZ}$$ is:
In a 3 races, 2 genders and 5 in each treatments group for two -way ANOVA, the degree of freedom for source of variation due to interaction, error and total respectively are
A random sample of size 225 is drawn from the population of mean $$\mu$$ and standard deviation $$\sigma$$. The sample mean follows the distribution with mean 100 and standard distribution 4/3. The value of $$\mu$$ and $$\sigma$$ are:
The mode of the given data set is 12. The sum of the frequency on both sides of mode are 16. The skewness:
