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5 of 8 ID: MST.SD.DSM.04.0060 [1 point] The number of diners at a restaurant each day is recorded and a daily average is calculated every month (assume 30 days in a month). The number of diners each day has a mean of 104 and a standard deviation of 69, but does not necessarily follow a normal distribution. The probability that a daily average over a given month is greater thanx is 2.5%. Calculate X. Give your answer to 3 decimal places. of ID MST.SD.DSM.03.0010.STAT301 11 point The weekly price fluctuation of WMB stock has a mean of $3.82 and a standard deviation of $0.55. A sample of 134 weekly price fluctuations for this stock have been measured and the mean has been calculated Calculate the standard error of the mean (ox), Give your answer to 3 decimal places. of ID MST SD.DSM.04.2010 [1 point) During its manufacturing process Fantra hils its 20 for bottles using an automated filing machine. This machine is not perfect and will not always il each bottle with exactly 20 fot of soft drink. The amount of soft drink poured into each bottle follows a normal distribution with mean 20 oz and standard deviation 0.2 for The Fantra quality testing department has just carried out a routine check on the average amount of soft drink poured into each bottle. A sample of 20 bottles were randomly selected and the amount of soft drink in each bottle was measured. The mean amount of soft drink in each bottle was calculated to be 19.89 02 The Fantra Chief Executive Officer believes that such a low mean is not possible and a mistake must have been made. Calculate the probability of obtaining a sample mean below 19.89 n oz. Give your answer as a decimal to 4 decimal places

Answer 1

given u = 104, T = 69, n = 30 P(Z > 3) = 0.025 - P(243) = 0.975 3 = normis.PDVC0975) 3 = 1.96 =) ОКТ, Z = X-4 olto x (763) +M X = 1.96*69 + 104 V 30 1128.691) x given u = 3.82, T = 0.55 n=134 = op -0.0475 or $ 0.048 given u=20, a = 0.2, n = 20 P(x < 19.89) = P(Z LX-4)= P(Z < 19.87 201 O live 0 - P(ZL-2146) [from E-table] = 0.0069