During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly normally
distributed with a mean of $131.80 and a standard deviation of $29.12. a travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. what is the probability that their average cost will be more than $150
<span>Population mean (u) = $131.80
Standard deviation (sd) = $29.12
Sample number (n) = 15
Sample mean = $150
Using Z score formula..
Z = (150 - 131.80)/ (29.12)/15^1/2
Z = 2.420
Area under the curve (alpha) with Z = 2.420 = 49.22
In percentage Alpha = 0.4922
Probability = 1-Alpha
Probability = 1- 0.4922 = 0.5078</span>
