Question

Research says that adult humans should drink 2 liters of water every day. However, the standard deviation is estimated at 0.7 liters. An event manager arranged 110 liters of mineral water for a one-day conference to be attended by 50 people.

a. Calculate the sample mean and standard error of mean.

b. Calculate the probability that the event manager has sufficient water during the conference day.

c. Calculate the probability that the event manager will have to order more water during the conference.

Answer 1

So, sample mean is 2.2 liters and standard error of mean is 0.099.

Hence 0.9783 is the probability that the event manager has sufficient water during the conference day.

c) P(need to order more water) = 1 - P(sufficient water) = 1 - 0.9783 = 0.0217

Hence 0.0217 is the probability that the event manager has to order more water during the conference.

Please comment if any doubt. Thank you.