The owner of the store believes that their average daily sales have increased since COVID-19 lockdowns have been removed. During the lock down, average daily sales were $500. After lockdowns were removed, the owner took a random sample of 30 days and found average daily sales of $850 with a standard deviation of $190. Assume that the conditions are satisfied and do NOT need to be checked. Test at 1% level of significance. SHOW YOUR WORKINGS. a) Write the hypotheses to test the owner's belief. b) Find the calculated test statistic. c) Give the critical value. d) Give your decision. e) Give your conclusion in the context of the belief