Even within a particular chain of hotels, lodging during summer months can vary substantially depending on the type of room and the amenities offered. A study was conducted to determine if there is sufcient evidence to indicate that the average room rates for Marriott and Westin hotel chains are different. A random billing statements from each of the computer database of the Marriott and Westin hotel chains were collected and provided the following information: Marriott Westin Sample size, n 59 51 Average rate per night, (in dollars) 155 167 Variance, 52, (in dollars) 276 476 The null hypothesis and alternative hypothesis for this study are the following: Ha: U1 1.152 75 0 With a : 0.01 What is the test statistics