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>
To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.
