SOLUTION: The weight of people that fly between San Francisco and Seattle is 180 lb on average, with a standard deviation of 29 lb.
a. What is the chance that the total weight of 36 people
Algebra ->
Probability-and-statistics
-> SOLUTION: The weight of people that fly between San Francisco and Seattle is 180 lb on average, with a standard deviation of 29 lb.
a. What is the chance that the total weight of 36 people
Log On
Question 924525: The weight of people that fly between San Francisco and Seattle is 180 lb on average, with a standard deviation of 29 lb.
a. What is the chance that the total weight of 36 people on such a flight will be above 6600lb?
b. What is the probability that the average weight of the 36 people on the flight will be at most 176 lb?
You can put this solution on YOUR website! mean = 180lb with a standard deviation = 29lb.
xbar = 600/36 = 183.3333lb
Using the z-value to determine the Probability:
P(xbar > 183.33) = P( z > 3.3333/4.8333) = P(z > .6896)
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(z > .6896) = normalcdf(.6896, 100) = .2452 0r 24.52%
or
P(z > .6896)= 1 - P(z<.6896) = 1 - .7548 = .2452
