During the pandemic, online ordering of groceries and household supplies was offered by many stores as an accommodation for shoppers who preferred not to visit crowded stores in person. An online grocery shopping service claims that its mean delivery time is less than 120 minutes with a population standard deviation of 30 minutes. A random sample of 49 orders is delivered with a mean of 100 minutes. At the 95% confidence level, is there enough evidence to support the claim? Assume the data are normally distributed. Use the critical value method and respond to the prompts below.

1. State the null and alternative hypotheses in words and in symbols.
2. What statistical test would be appropriate in this case and would it be right-tailed, left-tailed or two-tailed? Give the rationale for your choice.
3. Identify the critical value for the test.
4. Calculate the value of the test statistic. Please show the calculations also.
5. State a decision based on the calculated value of the test statistic and provide a rationale for that decision.