Answer:
 
 
Since the  we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation for the New sample it's significantly less than the variation for the Old sample at 5% of significance.
 we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation for the New sample it's significantly less than the variation for the Old sample at 5% of significance.  
Step-by-step explanation:
Data given and notation  
 represent the sampe size for the Old
 represent the sampe size for the Old
 represent the sample size for the New
 represent the sample size for the New
 represent the sample mean for Old
 represent the sample mean for Old
 represent the sample mean for the New
 represent the sample mean for the New
 represent the sample deviation for Old
 represent the sample deviation for Old
 represent the sample deviation for New
 represent the sample deviation for New
 represent the significance level provided
 represent the significance level provided
Confidence =0.95 or 95%
F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:
 
Solution to the problem  
System of hypothesis
We want to test if the variation for New sample it's lower than the variation for the Old sample, so the system of hypothesis are:
H0:  
H1:  
Calculate the statistic
Now we can calculate the statistic like this:
 
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have  and for the denominator we have
 and for the denominator we have  and the F statistic have 15 degrees of freedom for the numerator and 10 for the denominator. And the P value is given by:
 and the F statistic have 15 degrees of freedom for the numerator and 10 for the denominator. And the P value is given by:
P value
Since we have a left tailed test the p value is given by:
 
And we can use the following excel code to find the p value:"=F.DIST(0.64,15,10,TRUE)"
Conclusion
Since the  we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation for the New sample it's significantly less than the variation for the Old sample at 5% of significance.
 we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation for the New sample it's significantly less than the variation for the Old sample at 5% of significance.