I> 50 1. A restaurant decides to survey its customers in order to find out whether they spend more than E35/week eating out on average. It gets 45 responses, with a sample mean of $38.50. From previous surveys, it knows that the standard deviation of customer responses is E5.60. (a) What will the sampling distribution be in this case? Give reasons for your answer. (b) Conduct a hypothesis test to determine whether there is sufficient evidence to show that customers spend an average of at least E35/week on eating out at the 1% level. 2. An ple