According to a study done in 2013, the average age of a first-time home buyer in Canada was 28 years old. A researcher believes this number has increased since that time. A large random sample of Canadian first-time home-buyers is selected to test this claim.
a. Determine what population parameter is being tested:
 μ 
p
 ρ 
b. Determine if the alternative hypothesis is a left-tailed, right-tailed, or two-tailed test:
< : left-tailed
> : right-tailed
≠ : two-tailed

Let's break down this problem step by step.

### a. **Determine what population parameter is being tested:**

The researcher is interested in testing whether the **average age** of first-time home-buyers in Canada has changed since 2013. This indicates that the population parameter being tested is the population mean.

- The symbol for the population mean is **μ**.

Thus, the parameter being tested is **μ (population mean)**.

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### b. **Determine if the alternative hypothesis is a left-tailed, right-tailed, or two-tailed test:**

The researcher believes that the average age of first-time home buyers has **increased** since 2013. 

- A right-tailed test is used when we are checking if a parameter is greater than a certain value.
- A left-tailed test is used if we are checking if it is less than a certain value.
- A two-tailed test is used if we are testing whether a parameter is simply **different** from a certain value, not specifically greater or smaller.

Since the researcher believes the average age has increased, this would suggest a **right-tailed test**.

Therefore, the alternative hypothesis test is **right-tailed (>)**.

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Let me know if you need further details on this, or if you want to delve into the next steps of the hypothesis testing process!

### Follow-up Questions:
1. What is the null hypothesis (H₀) in this scenario?
2. What sample size is typically sufficient for a study like this?
3. How do you calculate the test statistic in hypothesis testing?
4. What is the significance level, and how does it affect the conclusion of the test?
5. How would you interpret a p-value in the context of this problem?

### Tip:
Always make sure to clearly state your null and alternative hypotheses before conducting a statistical test. This helps guide the analysis and ensures clarity when interpreting results.

According to a study done in 2013, the average age of a first-time home buyer in Canada was 28 years old. A researcher believes this number has increased since that time. A large random sample of Canadian first-time home-buyers is selected to test this claim.
a. Determine what population parameter is being tested:
μ
p
ρ
b. Determine if the alternative hypothesis is a left-tailed, right-tailed, or two-tailed test:
< : left-tailed
> : right-tailed
≠ : two-tailed

This example focuses on conducting a hypothesis test to determine if the average age of first-time home buyers in Canada has increased from 28 years. Learn key statistical concepts such as population mean (μ), hypothesis testing, and the application of a right-tailed test. Suitable for students in Grades 11-12 or college-level statistics.

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