List of top Questions asked in ICAR AIEEA (PG)- 2023

In Simple Random Sampling with replacement (SRSWR), the total no. of samples (with standard notation) will be
1. \(\binom{N}{n}\)
2. \(N^n\)
3. n + N
4. n*N
Suppose the correlation coefficient for a pair of 625 random sample is 0.2. Is the value of r significant? Given \(t_{0.05, 623} = 1.96\).
1. Yes, value of r is significant
2. No, value of r is not significant
3. may or may not be significant
4. test is invalid
The relation between standard deviation (SD), mean deviation about mean (MD) and quartile deviation (QD) is
1. 4SD = 6MD = 5QD
2. 4SD = 5MD = 6QD
3. 6SD = 5MD = 4SD
4. 5SD = 4MD = 6QD
X and Y are two random variable with \(\mu_X = 18.4\), \(\mu_Y = 33\), \(\sigma_X = 8.4\), \(\sigma_Y = 6.4\) and \(\rho_{XY} = 0.84\). The regression line of Y on X is
1. Y = X + 7.3
2. Y = 0.64X+21.22
3. Y = 0.64X+10.61
4. Y = 0.4X+12.82
Let \(\bar{X}\) be the mean of a random variable of size 5 from a normal distribution with \(\mu=0\) and variance \(\sigma^2 = 125\). Determine c so that P(\(\bar{X} < c\)) = 0.90
1. 6.10
2. 6.20
3. 6.30
4. 6.40
A sample consists of:
1. All units of the population
2. 5% units of the population
3. 12.5% units of the population
4. Any fraction of the population
If in the CRD some observations are missing then also the analysis is very simple, because the missing observations are discarded and we carry out the experiment without losing the......
In RCBD we may assume that the treatment are fixed and the blocks are random, such a model is called
A student while calculating the mean of 25 observations obtained a mean of 56 cm. It was later discovered at the time of checking that he had wrongly copied down an observation as 64. What is the mean if the correct value is omitted?
Chose the correct answer:
1. Measures of skewness are independent of origin and scale
2. Measures of skewness are independent of origin and not of scale
3. Measures of skewness are independent of scale and not of origin
4. Measures of skewness are dependent of origin and scale
In the standard normal distribution, P(Z $\le$ 0) is equal to:
1. 1
2. 0.5
3. >0
4. <1
If the regression line is given by $X = 2 + 4Y$, then the correlation coefficient ($r$) is
If 3% of calculators are defective, find the standard deviation of the defectives in 300 calculators?
In drawing histogram for unequal class intervals the height of the rectangles will be:
Which among the following is not a cereal?
The distribution that is formed by all possible values of a statistics is known as:
The sum of deviation of values $x_i$ from their mean is:
“Salaries of the employees in ICAR”, is an example of which level of measurement?
Alluvial soils vary in nature from sandy loam to clay. They are generally -
National Biodiversity Authority is located at
Average product is equal to marginal product when:
Apple wooly aphid-resistant variety is
Which of the following states has recognition because of Sharbati wheat?
A rainy day as defined by the India Meteorological Department is a day when the rainfall at a point received is ................... in 24 hours
In sugarcane, sugar is stored in which cell?