The null and alternative hypotheses for this study can be stated as follows:

• Null Hypothesis (H0): μ = 30
• Alternative Hypothesis (H1): μ ≠ 30

This aligns with the first option:

Correct Answer: H0: μ = 30 and H1: μ ≠ 30

The reason for this choice is that the manager wants to determine if there is a significant difference in the average delivery time compared to the established status quo of 30 minutes. The null hypothesis assumes there is no difference (μ = 30), while the alternative hypothesis tests if the average delivery time differs (μ ≠ 30).

Would you like a more detailed explanation on hypothesis testing?

Here are five related questions to explore further:

1. What is a Type I error in hypothesis testing?
2. How do you determine the significance level for hypothesis testing?
3. What is the difference between a one-tailed and two-tailed test?
4. How do you calculate the p-value in hypothesis testing?
5. What are some methods to verify if delivery time data meets assumptions for testing?

Tip: In hypothesis testing, always define your null and alternative hypotheses before gathering or analyzing data. This helps avoid bias in interpreting results.