Many recent changes have affected the real estate market. A study was undertaken to determine customer satisfaction from real estate deals. Suppose that before the changes, the average customer satisfaction rating, on a scale of 0 to 100, was 77. A survey questionnaire was sent to a random sample of 50 residents who bought new plots after the changes in the market were instituted, and the average satisfaction rating for this sample was found to be x-bar = 84; the sample standard deviation was found to be s = 28. Use an α of your choice, and determine whether statistical evidence indicates a change in customer satisfaction. If you determine that a change did occur, state whether you believe customer satisfaction has improved or deteriorated.