A random sample of 46 observations was selected from a normally distributed population. The sample mean was = 81, and the sample variance was s2 = 35.0. Does the sample show sufficient reason to conclude that the population standard deviation is not equal to 7 at the 0.05 level of significance? Use the p-value method

If you have made any attempts to do the problem, please show what work you have done and someone can guide you from there. We don't just do homework for you.

And I don't get the "s2 = 35.0" part.

s^{2}=35 means the variance is 35, since the square root of the variance is

standard deviation. \sqrt{s^{2}}=s=\text{standard deviation}

Apparently the poster has never used the ^ key.

This would appear to be a Chi Square test perhaps.

{\chi}^{2}=\frac{(n-1)\cdot s^{2}}{{\sigma}^{2}}