Answer
There is sufficient evidence to support the claim.
Work Step by Step
The z value is:
Mean = $\frac{92 + 126 + 114 + ... + 97 + 101 + 106}{30}$ = 105.7
z = $\frac{x-u}{o/\sqrt n}$ = $\frac{105.7 - 90}{15/\sqrt 30}$ = 5.73
P $ \approx$ 0