Question 1179924
Here's how to calculate the test value for this hypothesis test:

**1. State the Hypotheses:**

* **Null Hypothesis (H0):** The variance of convertible prices is equal to the variance of station wagon prices. (σ₁² = σ₂²)
* **Alternative Hypothesis (H1):** The variance of convertible prices is greater than the variance of station wagon prices. (σ₁² > σ₂²)  This is a right-tailed test.

**2. Identify Given Information:**

* Sample standard deviation of convertibles (s₁) = $6800
* Sample size of convertibles (n₁) = 16
* Sample standard deviation of station wagons (s₂) = $3900
* Sample size of station wagons (n₂) = 24

**3. Calculate the Test Statistic (F-statistic):**

The test statistic for comparing two variances is the F-statistic:

F = s₁² / s₂²

Where:

* s₁² is the sample variance of the first group (convertibles).
* s₂² is the sample variance of the second group (station wagons).

First, calculate the variances:

* s₁² = (6800)² = 46,240,000
* s₂² = (3900)² = 15,210,000

Now, calculate the F-statistic:

F = 46,240,000 / 15,210,000
F ≈ 3.04

**Answer:**

The test value (F-statistic) should be approximately 3.04.