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Let the initial volumes of alcohol and water be 3x and 2x respectively. Total initial volume = 3x + 2x = 5x. After adding 15 liters of water, the new volume of water = 2x + 15. New ratio: 3x / (2x + 15) = 3/5. Cross-multiplying gives: 15x = 6x + 45 → 9x = 45 x = 5. Total initial volume = 5x = 5 * 5 = 25 liters.
Let MSA defines mean sum of squares due to factor A and MSE defines mean sum of squares due to error. If the null hypothesis of ANOVA for one way class...
If Arithmetic mean and coefficient of variation of x are 10 and 40 respectively, then the variance of y = 10 – 2x is:
If the mean and variance of a binomial distribution are 5 and 4, respectively, then the value of n is:
If the difference between the rank of the 4 observations are 2.5, 0.5, -1.5, -1.5, then Spearman's rank correlation coefficient equals to:
By the method of moving averages, the seasonal index for four quarters equals to:
X and Y are independent normal variables with mean 50 and 80 respectively and standard deviation as 4 and 3 respectively. What is the distribution o...
If each observation in a data set for number of employees in different divisions is doubled then the coefficient of quartile deviation:
