A manufacturer has taken a sample of 25 packages from a production line, the standard deviation of the sample weight is 2.1 pounds, and the mean weight of this sample is 33.7 pounds. If the desired product weight is 30 pounds, for a significance level of 0.05, are you putting too much weight into these packages? State the null and alternate hypotheses. Solve the problem and describe how you arrived at your answer. If you think any other information is needed, assume a value and show what it was and why you picked that value.
Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.