Question

The government of Egypt has determined that the daily tonnage of shipped goods passing through the Suez Canal follows a distribution with a mean of 100,000 tons and a standard deviation of 4,000 tons. The canal is monitored for the next 64 days and the tonnage passing through on each of these days is recorded. The sample mean and sample variance of these 64 measurements are then calculated.

Find the value of tonnage for which the probability of the sample mean failing to exceed that value is only 0.0228.

Question 5 options:

A)

92,000

B)

108,000

C)

99,000

D)

199,000

E)

101,000

Answer 1