A product is supposed to contain 3,173 grams of liquid in a bottle. The manufacturer wants to maintain this weight exactly in each bottle. If the weight is less than 3,173 grams, customers will be dissatisfied. If the weight exceeds 3,173 grams, it will lead to additional costs. A sample of 180 bottles was collected for analysis in this study. The sample mean was 3,325 grams, and the sample standard deviation was 1,000 grams (the population standard deviation is not known). The question is whether it can be concluded that the mean weight of the liquid in a bottle is 3,173 grams at the 95% confidence level. 1. State the null and alternative hypotheses. 2. At the 95% confidence level, what is (are) the critical value(s)? 3. What is the value of the test statistic? 4. What is the p-value? 5. At the 95% confidence level, what is your conclusion? 6. State your conclusion in the context of the question.