|-Find the correct null hypothesis and for each correct alternative hypothesis 2. Suppose a pizza place claims its average pizza delivery time is 30 minutes, but you believe it takes longer than that. What are your null and alternative hypotheses?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Hypothesis Testing: Null and Alternative Hypotheses

**Objective**: Find the correct null hypothesis and for each, the correct alternative hypothesis.

#### Scenario:

2. Suppose a pizza place claims its average pizza delivery time is 30 minutes, but you believe it takes longer than that. What are your null and alternative hypotheses?

**Explanation**:

- **Null Hypothesis (H0)**: The average delivery time is 30 minutes. Mathematically, this can be stated as \( H0: \mu = 30 \).

- **Alternative Hypothesis (Ha)**: The average delivery time is greater than 30 minutes. Mathematically, this can be stated as \( Ha: \mu > 30 \).

In hypothesis testing, the null hypothesis represents a statement of no effect or no difference, and it is what you seek to test against. If the data provides sufficient evidence, the null hypothesis is rejected in favor of the alternative hypothesis.
Transcribed Image Text:### Hypothesis Testing: Null and Alternative Hypotheses **Objective**: Find the correct null hypothesis and for each, the correct alternative hypothesis. #### Scenario: 2. Suppose a pizza place claims its average pizza delivery time is 30 minutes, but you believe it takes longer than that. What are your null and alternative hypotheses? **Explanation**: - **Null Hypothesis (H0)**: The average delivery time is 30 minutes. Mathematically, this can be stated as \( H0: \mu = 30 \). - **Alternative Hypothesis (Ha)**: The average delivery time is greater than 30 minutes. Mathematically, this can be stated as \( Ha: \mu > 30 \). In hypothesis testing, the null hypothesis represents a statement of no effect or no difference, and it is what you seek to test against. If the data provides sufficient evidence, the null hypothesis is rejected in favor of the alternative hypothesis.
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