As a result of complaints from customers about delivery times, the manager at a pizza delivery service is ready to undertake a study to determine whether the average delivery time differs from the status quo of 30 minutes. 

State the null and alternative hypotheses.

Group of answer choices

H0: μ=30 and H1: μ≠30

H0: μ≠30 and H1: μ=30

H0: μ>=30 and H1: μ<30

H0: μ>30 and H1: μ<=30

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.

As a result of complaints from customers about delivery times, the manager at a pizza delivery service is ready to undertake a study to determine whether the average delivery time differs from the status quo of 30 minutes. State the null and alternative hypotheses.

Learn how to state the null and alternative hypotheses for a study on average pizza delivery times. The problem covers basic hypothesis testing concepts, with a focus on null hypothesis (μ = 30) and alternative hypothesis (μ ≠ 30). Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation