#### Answer

Yes, see explanations.

#### Work Step by Step

We first calculate some parameters from the data set.
$n=9, \bar X=209.7, s=1.67$
a. State the hypotheses and identify the claim.
$H_o: \mu\leq 208$
$H_a: \mu\gt208$ (claim, right tail test)
b. Find the critical value(s).
$\alpha=0.01, df=8, t_c=2.896$
c. Compute the test value.
$t=\frac{209.7-208}{1.67/\sqrt 9}=3.05$
d. Make the decision.
Since $t\gt t_c$, we have enough evidence to reject the null hypothesis and support the claim.
e. Summarize the results.
At a = 0.01,there is sufficient evidence to conclude that the weight is greater than 208 grams