Answer:
The range of the <em>p</em>-value is: 0.050 < <em>p</em>-value < 0.100.
Step-by-step explanation:
For checking the equivalence of two population variances of independent samples, we use the <em>f</em>-test.
The test statistic is given by:
![F=\frac{S_{1}^{2}}{S_{2}^{2}}\sim F_{\alpha, (n_{1}-1)(n_{2}-1)}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7BS_%7B1%7D%5E%7B2%7D%7D%7BS_%7B2%7D%5E%7B2%7D%7D%5Csim%20F_%7B%5Calpha%2C%20%28n_%7B1%7D-1%29%28n_%7B2%7D-1%29%7D)
It is provided that the hypothesis test is one-tailed.
The computed value of the test statistic is:
<em>F</em> = 4.23.
The degrees of freedom of the numerator and denominator are:
![df_{1}=4\\df_{2}=5](https://tex.z-dn.net/?f=df_%7B1%7D%3D4%5C%5Cdf_%7B2%7D%3D5)
Use MS-Excel to compute the <em>p</em>-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 <em>p</em>-value is, 0.0728.
The range of the <em>p</em>-value is:
0.050 < <em>p</em>-value < 0.100