[R]In order to determine the average price of hotel rooms in Houston, a sample of 38 hotels was selected. It was determined that the average price of the rooms in the sample was $120.7 with a standard deviation of 4. Use an 0.1 level of significance and determine whether or not the average room price is significantly different from $118.5. Choosethe t-statistic and the appropriate conclusion.

a. t = 3.3904 ; failtorejectthenullhypothesis

b. t = 3.3904 ; rejectthenullhypothesis

c. t = 2.7654 ; failtorejectthenullhypothesis

d. t = 2.7654 ; rejectthenullhypothesis