The variance, over the past 10 years, of the weight (in pounds) of a particular manufactured product has been 200. A recent sample of 30 such product weights had a calculated sample standard deviation of 9 and mean of 11.5. Does the sample provide sufficient evidence, at the significance level 0.01, to conclude that the variance is now greater than that of the variance over the past 10 years? Give the test statistic, state whether to accept or reject the null hypothesis.