Which of the following is NOT an approach for assigning the probability of the event?
Personal approach
The three textbook approaches for assigning probability are the Classical (equally likely outcomes), the Relative Frequency / Statistical / Empirical approach (based on observed data), and the Subjective / Personal approach (based on individual judgement).
Among the options, “Relative frequency” and “Statistical” refer to the same empirical method, “Classical” is the equally-likely-outcomes method, and “Personal” is the subjective method — all are recognised. The question expects the one that is not a distinct/standard objective approach in this list; the marked answer is Personal approach.
Suppose in a certain large group, the height is approximately normally distributed with a mean of 160 cm and the standard deviation is 10. For a sample of size 16, the sampling distribution of sample mean has standard error equal to:
Which of the following is NOT an example of the probability sampling technique?
A completely randomised design is based on the principles of ______ and randomisation only.
A sample of 30 latest returns on UTI stock reveals a mean return of $4 with a sample standard deviation of $0.13. The estimated standard error of the sample mean is:
In a cluster sampling wherein the units within same cluster are highly correlated, suppose \(S_w^2\) represents the variance within the clusters and \(S_b^2\) between clusters, then which option is correct?
In some of the real-life situations, a researcher has to explore two or more treatments at the same time. This type of experimental design is referred to as:
In the construction of cost of living index, commodities are selected by:
If 4, 5, 6, 6, 6, 6, 6, 6, 6, 7 be a random sample from a Poisson population with parameter λ, then an unbiased estimate of λ is:
The data taken from the publication "sankhya" will be considered as:
Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is
Three cards were drawn from a pack of 52 cards. The probability that they are a king, a queen, and a jack is
A population (with mean $\mu$) follows normal distribution. Ten samples (N) are drawn at random with a mean value of “x” and standard deviation of “S”. Following table provides the confidence limits, C(t) of the cumulative probability function for Student's t - distribution two-tailed test with degree of freedom, D.
C(t) | |||
| D | 0.9 | 0.95 | 0.975 |
| 9 | 1.38 | 1.83 | 2.26 |
| 10 | 1.37 | 1.81 | 2.23 |
| 11 | 1.36 | 1.80 | 2.20 |
Which one of the following expression is correct for testing the null hypothesis $H_0: \mu = 0$ at $10\%$ significance level?
The probability distribution function of a random variable $X$ is shown in the following figure.

From this distribution, random samples with sample size $n = 68$ are taken. If $\bar{X}$ is the sample mean, the standard deviation of the probability distribution of $\bar{X}$, i.e. $\sigma_{\bar{X}}$ is ________ (round off to 3 decimal places).