Question

Suppose it is known that the reimbursement amount for a specific DRG is normally distributed with a population mean of $7500 and a population standard deviation of $500. If a random sample of size 15 is selected from this population, find the probability that the mean reimbursement amount will be between $7200 and $7800. ( There is approximately a 90% chance that the sample mean for reimbursement of this DRG is between S7200 and S7800 There is approximately a 98% chance that the sample mean for reimbursement of this DRG is between S7200 and S7800 There is approximately a 49% chance that the sample mean for reimbursement of this DRG is between $7200 and $7800 here is approximately a 50% chance that the sample mean for reimbursement of this DRG is between S7200 and S7800.

Answer 1

TOPIC: Distribution of sample mean and finding the required probability.

amount dan the- : e have /(r,, n= sample size-15. Yis be the 1s Aamp ' val从es trom the abore population, 15 15 :, 215, hero.

p (7200〈天 (1800 7200 750 8005oo P (-2. 32.38く2く2-3238 2. 3238 (-2. 3238 Yey 2-3238) - (2.3238 2虹(23239-1 So, the answer 国.ltopproximatouf a_ ggy, chateettardhe一