4 and 6 question to be done

Q4. An analysis of monthly wages paid to the workers of two firms A and B belonging to the same industry gives the following results: Firm A Firm B Number of workers 500 600 Average monthly wage R S. 186 R s. 175 Variance of distribution of wages 81 100 (a). Which firm, A or B, has a larger wage bill? (b). Calculate the average monthly wage of all the workers in the firms A and B taken together? (c). In which firm, A or B, is there greater variability in individual wages ? Q5. A radioactive mass emits particles according to a Poisson process at a mean rate of 6 particles per minute. At some point, a clock is started. What is the probability that more than 6 seconds will elapse before the next emission? What is the mean waiting time until the next particle is emitted? Round the probability to four decimal places. Q6. Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. (a). Fill in the blanks below and complete the ANOVA table. Source SS DF MS F Treatment 2477.53 Block 3180.48 - Error 11661.38 Total (b). Based on F-statistics for treatment, test HO: there is no difference between treatment effects at a = 0.05. (c). Based on F-statistics for block, test HO: there is no difference between block effects at a = 0.05. Q7. In a simple linear regression, the following information is given: Y = -25 y = 43 E(x - 7) = 705 (x - X) (1 - V) =-860 (a). Calculate b, . (b). Calculate b . (c). What is the simple regression equation? (d). Predict y if x equals -22