Central bank believes that if consumer confidence is too high, the economy risks overheating. Low confidence is a warning that recession might be on the way. In either case, thebank may choose to intervene by altering interest rates. The ideal value for the bank's chosenmeasure is 50. We may assume the measure is normally distributed with standard deviation 10.The bank takes a survey of 30 people. Which returned a sample mean of 54 for the index. Whatwould you advice the bank to do? Use = .05.