SSC CGL Tier-2 14th September 2018 Statistics

At a reservation counter, passengers are arriving for booking the tickets in a Poisson fashion with mean rate 60 per hour. The kurtosis of the inter-arrival times of the passengers is:

Completely randomised design is based on the principles of .......... and randomisation only.

If $$\sum p_oq_o = 160, \sum p_oq_1 = 250, \sum p_1q_o = 200$$, and $$\sum p_1q_1 =  288$$ then Fisher ideal index number is equal to:

Completely Randomised Design provides maximum numberof degree of freedom for the:

At a round table, n persons are seated on n chairs. The probability that two friends from same college are sitting next to each other, is:

If $$p(x) = \begin{cases}{\frac{x}{15};} & x = {1, 2, 3, 4, 5}\\0;& elsewhere\end{cases}$$, the probability $$P\left\{\frac{1}{2} < X < \frac{5}{2}\right\}$$ is equal to:

The first four moments of a distribution about the origin are -1.5, 17, -30 and 108. The third moment about the mean is:

Let $$M, M_d, M_o, Q_1, Q_2, Q_3$$ be the mean, median, mode and quartile points for different data points. Skewness is negative if:

A dice was thrown 400 times and ‘six’ resulted 80 times. The data is used to justify the hypothesis of an unbiased dice at 95% confidence. With reference to the given case, which of the following statements is correct?

The sample sizes for two cases were 15 each with means as 104 and 114 respectively and variances as 290 and 510 respectively. Let the null hypothesis is that the two population means are equal, then the value of t-statistic is: