Question 983600
Ho=there is no significant difference.  mu=35
Ha=there is a significant difference. mu not equal to 35.
Two-tailed test
alpha=0.01
test statistic is z=(x-mu)/sd
critical value is at z.005 and z.995
if abs(z)>2.576, we will reject the null hypothesis
Calculation:  z=(58-35)/10=+2.3
Fail to reject the null hypothesis. There is insufficient evidence to assume the brain percentage of signal change is different from the mean at the 0.01 level.

I would draw a normal curve, and put vertical lines at -2.576 and +2.576, shading everything to the left and right respectively.  I would put the sample value at +2.3, showing that it is not within the cutoff region.