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Practice Welfare Economics Questions and Answers

For completely randomized design for k treatments and n observations, yif = response from the jth unit receiving ith treatment, ∑i ∑j yij = y.. and ∑...
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 dat...
For the variables X, Y and Z, rXY = 0.80, rXZ = 0.64, rY Z = 0.79 , then square of multiple correlation coefficient R2 X.Y Z 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 tota...
A random sample of size 225 is drawn from the population of mean μ and standard deviation σ. The sample mean follows the distribution with mean 100 and s...
The probability of getting a total of 7 on two dice thrown together is:
Identify, from the following, the moment used as a measure of skewness?
The six decile (D6 ) of 5, 3, 2, 6, 8, 4 is:
The mode of the given data set is 12. The sum of the frequency on both sides of mode are 16. The skewness:
If X and Y represent waiting time and service time of customers in shopping mall, have joint destiny f(x, y) = kx; 0 ≤ y ≤ x ≤ 1, then the value of k...
Which is not relative measures of skewness?
For two items, tea (1 kg) and sugar (1 kg), the prices in the year 2019 were ₹100 and ₹50, respectively, whereas the prices in the year 2020 were ₹12...
Which of the following statements is INCORRECT?
The deseasonalised time - series data will have only trend (T), cyclical (C) and irregular (I) components and is expressed as:
For the ANOVA table the F - statistics is
The mean deviation and coefficient of mean deviation of 5 observation are 1.2 and 0.4. If the sum of the first four terms is 10, then the fifth term is equ...
The standard error of the given data 15, 5, 12, 10, 20, 4 is
If the sum of lower and upper qualities is 6 and quartile deviation is 1.5, then the value of coefficient of quartile deviation is
The 95% confidence interval of average age of accidents in any city during last year for a sample of size 100 with mean age 34.25 from population of standa...
If rp be partial correlation compound on sample rAB.c compound from sample of size n, the test statistic for significance testing is
If Z follows standard normal distribution with mean 0 and variance 1, then Z2 follows:
For the following frequency distribution Class : 3-5 5-7 7-9 9-11 ...
If the mean and variance of a binomial distribution are 5 and 4, respectively, then the value of n is:
For an experiment we have the following data set: n = 4, ∑ X = a,∑ Y = 10,∑ XY = 21,∑ X2 = 30,∑ Y2 = 30 the correlation coefficient is -0.8 the...
The grouped data for the observation are as follows. Class : 2-4 4-6 6-8 Frequency:...
If each observation in a data set for number of employees in different divisions is doubled then the coefficient of quartile deviation:
If the first, second, and third moment about the origin are 2, 8, and 18 respectively, then third moment about mean is
For the variables X and Y, we collect 4 observations with ∑ X = 10,∑ Y = 14,∑ X2 = 30,∑ Y2 = 54,∑ XY = 31 The regression line y on x is...
The median of the following observations 10, 11, 9, 12, 10,10, 12, 10, 9,11 is:
For the two variables X and Y, the following observations are tabulated X: 3 4 4 ...
If first, second, and third moment about origin are 1, 6, and 15 respectively, then Karl Pearson beta coefficient of skewness β is
If mean and median of the distribution are 12 and 21, then the distribution
In a two-way ANOVA table the value of x, FA, FB are:
The median of following observations 8, 9, 10, 8, 8, 10, 8, 9 is
For the ANOVA which of the following options is INCORRECT. 1. Null hypothesis H0 : μ1 = μ2 = ... = μn 2. F -ratio belongs to [�...
The Pearson's correlation coefficient between following observation X: 1 2 3 �...
For the ANOVA which option is wro1ng?
From standard pack of 52 cards, 3 cards are drawn at random without replacement. The probability of drawing a king, a queen and a jack in order is
If the second and third moment about the origin are 8 and 18 and the third moment about mean is -14 , then the first moment about the origin is:
For the random variable X with probability density function f(x) = (x−3)2 /5; x = 3, 4, 5, the variance of X is:

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