Using the Central Limit Theorem · Exercise 33

Use the following to answer the next two exercises: The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations.

Find the probability that the average price for 30 gas stations is less than $4.55.

(a) 0.6554
(b) 0.3446
(c) 0.0142
(d) 0.9858
(e) 0

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §7.3 Using the Central Limit Theorem · Exercise 33