Question

You want to compare the variation of heights of Econ 202 (population 1) and Econ 203 (population 2) students. You used a random sample of 48 Econ 202 students and found a variance of 16 inches, while a sample of 63 Econ 203 students had a variance of 14 inches. If you test whether the variances of the two populations are equal, the test statistic will have a value of: Note. You should NOT change the way how the populations are labeled for this question. A. 0.9 B. 1.14 C. 1.56 D. 0.76

Answer 1

Answer:

Option B

Step-by-step explanation:

As per the question:

The variance of the 48 Econ 202,  = 16 inches

The variance of 63 Econ 203 = 14 inches

Now, to test the variance of two populations:

For 48 Econ 202:

$s^{2} = 16$

For 63 Econ 203:

$s'^{2} = 14$

On comparing the two, the test statistics is given by;

F = $\frac{s^{2}}{s'^{2}}$

F = $\frac{16}{14} = 1.14$