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- The cost C(Q) of producing a quantity Q of widgets to satisfy demand isC(Q) = 4000+20Q, but the quantity demanded is random. If the mean and standarddeviation of demand are 500 and 200, respectively, then what are the mean andstandard deviation of costs?For the Given values of 56, 67.9, 68, 53.8 and 69.8, Calculate a) Mean b) Algebraic Sum of deviation c) Variance d) Standard Deviation.Times for a surgical procedure are normally distributed. There are two methods.Method A has a mean of 28 minutes and a standard deviation of 6 minutes, whilemethod B has a mean of 32 minutes and a standard deviation of 4 minutes. (a)Which procedure is preferred if the procedure must be completed within 28minutes? (b) Thirty-eight minutes? (c) Thirty-six minutes? Explain your reasoningfully.
- The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?Find the range, variance and standard deviation of the ff 10, 17, 15, 20, 13, 11, 19, 12, 14, 16 Excel form need answers5 True/False/uncertain 7) With all observations in the same cluster, RSQ = 1. 8) With 500 multiple imputation samples generating 500 predictions of 0 or 1 for the binary dependent variable for each observation, to combine the 500 predictions into one for each observation, one has to take the mean of all 500 predictions and use a cutoff of 50%.
- Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. The amount of beer in a bottle is normally distributed with a standard deviation of 2.9 ml. 21 What is the probability that a randomly selected 6-pack of beer will have a mean amount in 6 bottles less than 328ml? a 0.0292 b 0.0365 c 0.0456 d 0.0570Given a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X > x) = 0.715. Round your answer to two decimal places, e.g. 22.96.
- A quality control expert at LIFE Batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 77 minutes with a mean life of 551 minutes. If the claim is true, in a sample of 135 batteries, what is the probability that the mean battery life would be greater than 545.6 minutes? Round your answer to four decimal places.3. Report the sample mean and standard deviationof the 52-week cost under each policy. Usingthe simulated results, is it possible to constructvalid 95% confidence intervals for the average52-week cost for each value of U? In any case,graph the average 52-week cost versus U. Whatis the best value of U for L 5 30For all parts of this question, assume that the log of GDP per capita is normally distributed with a mean of 8.7 and standard devistion of 1.5Step 1 of 4: If the log of the world distribution of income is normaly distributed with a mean of 8.7 and a standard deviation of 1.5, what income indollars) marks the 90th percentile? KeypadAnswer A 71.325B 1.29C 41,253D 10.63