Answer:
The range of the p-value is: 0.050 < p-value < 0.100.
Step-by-step explanation:
For checking the equivalence of two population variances of independent samples, we use the f-test.
The test statistic is given by:
[tex]F=\frac{S_{1}^{2}}{S_{2}^{2}}\sim F_{\alpha, (n_{1}-1)(n_{2}-1)}[/tex]
It is provided that the hypothesis test is one-tailed.
The computed value of the test statistic is:
F = 4.23.
The degrees of freedom of the numerator and denominator are:
[tex]df_{1}=4\\df_{2}=5[/tex]
Use MS-Excel to compute the p-value as follows:
Step 1: Select function fX → F.DIST.RT.
Step 2: A dialog box will open. Enter the values of f-statistic and the two degrees of freedom.
*See the attachment below.
Step 3: Press OK.
The p-value is, 0.0728.
The range of the p-value is:
0.050 < p-value < 0.100
