1. An established manufacturer of laundry products plans to test market a new product, Continent Bleach, in 45 randomly selected supermarkets in a particular region. Unless there is evidence that the mean number of cases sold per week in each supermarkets exceeds 7, the product will not be introduced. Previous sales information indicates that the population standard deviation is 3 cases. What decision should the company reach if the sample mean number of cases sold was 8.2? Do the following hypothesis testing. Take a = 0.05. Step 1 (10 points): Formulate the hypotheses. Step 2 (10 points): Identify the appropriate test statistic and its probability distribution. Step 3. a=0.05. Step 4 (10 points): State the decision rule, along with the critical value. Step 5 (10 points): Calculate the test statistic. Step 6 (10 points): Apply the decision rule and draw a conclusion.