Researchers at a drug company are testing the duration of a

Last updated: 11/27/2023

Researchers at a drug company are testing the duration of a new pain reliever The drug is normally distributed with a mean duration of 240 minutes 4 hours and a standard deviation of 40 minutes The drug is administered to a random sample of 10 people Round means standard deviations and z scores to the nearest hundredth if necessary 1 What is the population mean 240 in minutes 2 What is the population standard deviation 40 in minutes 3 What is the sample size 10 4 Can normal approximation be use for this problem Yes it is given that the population distribution is normally distributed 5 What is the mean of the sample means 240 in minutes 6 What is the standard deviation of the sample means 12 65 What is the probability that the drug will wear off in less than 200 minutes 1 What is the z score 0 2 x 2 What is the requested probability P x 200 0 91 2 What is the requested probability P x What is the probability that the drug will wear off after 220 minutes 1 What is the z score 2 x 220 0 866 x What is the probability that the drug will wear off between 200 and 220 minutes 1 P 200x220 0 418 x 4