- For completely randomized design for k treatments and n observations, yif = response from the jth unit receiving ith treatment, âˆ‘i âˆ‘j yij = y.. and âˆ‘...
- 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 Î¼ and standard deviation Ïƒ. 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 â‰¤ y â‰¤ x â‰¤ 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 â‚¹100 and â‚¹50, respectively, whereas the prices in the year 2020 were â‚¹12...
- 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...
- Â 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 :Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3-5Â Â Â Â Â Â Â Â 5-7Â Â Â Â Â Â Â Â Â 7-9Â Â Â Â Â Â Â Â Â 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, âˆ‘ X = a,âˆ‘ Y = 10,âˆ‘ XY = 21,âˆ‘ X2 = 30,âˆ‘ Y2Â = 30 the correlation coefficient is -0.8 the...
- The grouped data for the observation are as follows. Class :Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 2-4Â Â Â Â Â Â Â Â 4-6Â Â Â Â Â Â Â Â Â 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 âˆ‘ X = 10,âˆ‘ Y = 14,âˆ‘ X2 = 30,âˆ‘ Y2 = 54,âˆ‘ 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:Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 4 ...
- If first, second, and third moment about origin are 1, 6, and 15 respectively, then Karl Pearson beta coefficient of skewness Î² 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.Â Â Â Â Â Â Null hypothesis H0 : Î¼1 = Î¼2 = ... = Î¼n 2.Â Â Â Â Â Â F -ratio belongs to [â...
- The Pearson's correlation coefficient between following observation X:Â Â Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â...
- 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) = (xâˆ’3)2 /5; x = 3, 4, 5, the variance of X is:

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