6. A restaurant manager estimates that her restaurant sells 22 gallons of fruit juice each day (population mean). A random sample size n = 36 shows a sample mean x = 21 gallons with sample standard deviation s = 6. Perform a hypothesis test at 95% confidence to determine if the estimate could be correct. To get full credit, you must do the following: 1. Write your null and alternate hypotheses. 2. Either show your test statistic and p-value or show your confidence interval. 3. Say whether or not you reject the null hypothesis. 4. Answer the following question: could the population mean be 22 gallons? Answer YES or NO.