Question

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5.4.38-T Question Help The weights of ice cream cartons are normally distributed with a mean weight of 12 ournces and a standard devlation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 12.18 ounces? (b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 12.18 ounces? (a) The probability is 0.3669 (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Cloar All

Answer 1

Solutions from given data? Mean (M) = 12 Standard deviation (6):0.5 (a) Plus 12-18) = ? P(2 > 12-18) = P(0-M, 12.18 - My EP123 12187129 =P1Z > 0:18.) Plz50.36) Pla? 12-18) = 0.3594] . So, the required probability by 0.3594 (67 Grivent no 25; X = 12-18 : Pläə 12-18) =? Pla > 12-18): P/-M . 12.18 - M EP123 12 081) =P(Z > 0.18) PLZ > 18) TI-P1Z218) -1-0.9641 P(>12-8) = 0.0359 ci so, the required probability is →0.0359,