1. Your average weekly grocery bill at the store you usually shop is $160. A new grocery store has opened near you. You want to know if your grocery bill would be any different if you shop there. You took a sample of 55 individuals and asked them for their grocery bills and found that the average is $149.5 and the standard deviation for the sample is $25.5. Set up your null and alternative hypothesis and do the analysis using =.05.
2. You started a wedding planning business. Based on expenses of 25 weddings, you estimated costs of a small wedding to be $29,500. To provide a range, you decided to provide a 95% confidence interval and searched for an estimate of standard deviation of wedding expenses and believe that it is $8000. Prepare a 95% confidence interval for the average cost of a wedding.