SSC CGL Tier-2 10th August 2022 Statistics

Instructions

For the following questions answer them individually

Question 71

For the frequency distribution of income (in lakh) of the employees in factory


the value of mode is

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Question 72

These seventh decile ($$D_{7}$$) of data set 4, 3, 10, 9, 1 is

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Question 73

For the distribution


the third factorial moment is

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Question 74

If the difference between the rank of the 4 observations are 2.5, 0.5, -1.5, -1.5, then Spearman's rank correlation coefficient equals to:

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Question 75

$$X_{1}$$ and $$X_{2}$$ represent number of occurrences of event A and 8 that follow Poisson distribution with mean rate $$\lambda_{1}$$ and $$\lambda_{2}$$, If $$Y_{1}$$ and $$Y_{2}$$ are inter-occurrence times of event A and B, then min($$Y_{1},Y_{2}$$) follows

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Question 76

For the distribution with unknow $$\theta$$
$$f(x, \theta) = \begin{cases}\frac{1}{\theta}; & 0 \leq x \leq \theta\\0, & elsewhere\end{cases}$$

We set the testing of hypothesis $$H_{0} : \theta = 1 \ vs \ H_{1} : \theta = 2$$. When the critical region $$X \geq 0.4$$, the value of probability of type-II error is:

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Question 77

For the production data


the third 3-year simple moving average is:

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Question 78

The grouped data for the observations are


The population skewness

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Question 79

For the data set


the regression coefficient $$b_{xy}$$ (y on $$x$$) equals to:

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Question 80

The value of a and b so that the following is probability mass function


with mean 1.1, is:

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