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### Problem Breakdown:
A study with 332 one-year-old baby boys has a mean weight of 25.5 pounds and a standard deviation of 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys **differs from 25 pounds**. We are tasked to:
1. Formulate the null and alternative hypotheses.
2. Identify the type of test.

### Step 1: Formulating the Hypotheses
- **Null Hypothesis (H₀):** The null hypothesis represents the idea that there is **no significant difference** between the mean weight observed in the sample and the hypothesized mean (25 pounds). Hence,
  \[
  H_0: \mu = 25 \, \text{pounds}
  \]
  
- **Alternative Hypothesis (H₁):** The alternative hypothesis is based on the claim that the mean weight **differs from** 25 pounds, implying a **two-tailed** test. Hence,
  \[
  H_1: \mu \neq 25 \, \text{pounds}
  \]

### Step 2: Identifying the Type of Test
Since the claim is that the mean weight differs from a specific value (25 pounds), we will use a **two-tailed** test.

### Answer:
- \( H_0: \mu = 25 \)
- \( H_1: \mu \neq 25 \)
- This is a **two-tailed** test.

Let me know if you want details about further steps like conducting the test or if you have more questions!

### Relative Questions:
1. How do you calculate the test statistic for this hypothesis test?
2. What is the significance of a two-tailed test in hypothesis testing?
3. How do we interpret the P-value in the context of this test?
4. What assumptions must be met to perform a hypothesis test on means?
5. How does the sample size influence the outcome of hypothesis tests?

### Tip:
In a two-tailed test, the alternative hypothesis suggests the parameter could either be less than or greater than the hypothesized value, making both extremes critical for rejection of the null hypothesis.

A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. A sample of 332 boys has a mean weight of 25.5 pounds and a standard deviation of 5.3 pounds. The task is to formulate the null and alternative hypotheses and identify the type of test, using a significance level of 0.01.

Learn how to test a pediatrician's claim that the mean weight of one-year-old boys differs from 25 pounds, using a sample size of 332 and a significance level of 0.01. The test is a two-tailed Z-test, utilizing hypothesis testing and the Central Limit Theorem.

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