Answer:
0.93965
Step-by-step explanation:
The z score when given a random number of samples =
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
x-μ = 3.27
Standard deviation = √Variance
= √484 = 22
n = 109
z = 3.27/22/√109
z = 3.27/2.1072178275
z = 1.55181
Probability value from Z-Table:
P(x< 155.27) = 0.93965
The probability that the sample mean would differ from the true mean by less than 3.27 liters is 0.93965
