Restaurant B is a direct competitor to Restaurant A. The manager for Restaurant B claims that the computed customer satisfaction score for his restaurant is higher than the score for Restaurant A. To prove his point, he collected and computed satisfaction scores from a sample of 40 customers from his restaurant. The computed satisfaction scores yield a mean of 7.8 and standard deviation of 1.1. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean customer satisfaction score for Restaurant B is higher than the mean score for Restaurant A? Assume that the scores are normally distributed with equal population variances. (11 marks)