SOLUTION: The fill amount of soft drink bottles is normally distributed with a mean of 2.0 litres and a standard deviation of 0.07 litres. If you select a random sample of 25 bottles, what i
Algebra.Com
Question 1203068: The fill amount of soft drink bottles is normally distributed with a mean of 2.0 litres and a standard deviation of 0.07 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be�
a. Between 1.99 and 2.0 litres?
b. Below 1.98 litres?
c. Above 2.01 litres?
d. The probability is 90% that the sample mean will contain at least how much soft drink?
e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
population mean is 2.0
population standard deviation is .07
sample size is 25.
standard error = standard deviation / square root of sample size = .07 / sqrt(25) = .07 / 5 = .014.
x = sample mean
a. what is probbility that x is Between 1.99 and 2.0 litres?
probability is equal to .2625
b. what is probability that x is Below 1.98 litres?
probability is equal to .0766
c. what is probability that x is Above 2.01 litres?
probability is equal to .2375
d. The probability is 90% that the sample mean will contain at least how much soft drink?
the proabability is 90% that the mean of the sample will be greater than or equal to 1.9821 liters of soft drink.
e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)?
the probability is 90% that the sample mean will be between 1.97697 and 2.02303 liters.
here's what the answers look like on a graph.
RELATED QUESTIONS
Assume the fill amount of bottles of a soft drink is normally distributed with a mean of... (answered by Theo)
The fill amount of soft drink bottles is normally distributed with a mean of 2.0 litres... (answered by stanbon)
The fill amount of bottles of soft drink is normally distributed with a mean of 2.0... (answered by stanbon)
The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 (answered by greenestamps)
The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0 (answered by Boreal)
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0... (answered by stanbon)
The fill amount of bottles of soft drink has been found to be normally distributed with a (answered by stanbon)
The fill amount of bottles of soft drink has been found to be normally distributed with a (answered by stanbon)
Assume the fill amount of bottles of a soft drink is normally distributed with a mean of... (answered by stanbon)