I am not understanding this statistic homework. Im not understanding how to come up with the formula

I ALEKS: Lakeva Banks x ( C I i Secure | httsz/wwwiawd.alekscornralekscgifxrlsiexeo_u7|gNslkr7j8P3]HilvdUZhldeonRMBRgraviy4LM'cooAGQOKoCI7ErnUkbwd54TgDyeRhQHWKthtgvakOPS_ l @ 3" l' W . Intro Stat 1 5 16 2|} Question #24 1'25 View Worked Example @ A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more that that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like tinestimatse the mean amount of coffee, H , dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate it . Assuming that the standard deviation of cup amounts dispensed by this machine is 0.43 ounces, what is the minimum sample size needed in order for BIG to be 99% condent that its estimate is within 0.08 ounces of H ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satises the requirements). I: Prev. Questim Next Questim =9 (If necessary, consult a list of formulas.)