We analyze the percent tip left on 157 bills from the First Crush bistro in Northern New York State. The mean percent tip left on the 106 bills paid in cash was 16.39 with a standard deviation of 5.05. The mean percent tip left on the 51 bills paid with a credit card was 17.10 with a standard deviation of 2.47. Using the appropriate test, determine if the mean percent tip left on bills paid with a credit card at the First Crush bistro is different from the mean percent tip left on bills paid in cash. a) Construct a 95% confidence interval for the difference in the average percent tip left on bills paid with credit cards versus cash at the First Crush bistro. b)Interpret the confidence interval in the context of the tipping study c) Does the confidence interval result in the same conclusion/decision as the hypothesis test regarding the difference in average percent tips between payment methods? Explain your reasoning