The senior vice president for marketing at Westin Hotels believes

that thecompany's recent advertising of the Westin Plaza in New York has increased the

average occupancy rate at the hotel by at least 5%. To test the hypothesis, arandom sample of daily occupancy rates ( in percentages ) before the advertisingis collected. A similar random sample of daily occupancy rates is collected afterthe advertising took place. The data are as follows.

Before Advertising ( % )

86, 92, 83, 88, 79, 81, 90, 76, 80, 91, 85, 89, 77, 91, 83

After Advertising ( % )

88, 94, 97, 99, 89, 93, 92,98, 89, 90, 97, 91, 87, 80, 88, 96

Assume normally distributed populations, of occupancy rates with equal

population variances. Test the vice president's hypothesis. Take = 0.05