R. Morris and E.Watson studied various aspects of process capability in the paper "Determining Process Capability in a Chemical Batch Process" (Quality Engineering, Vol. 10(2), pp. 389-396). In one part of the study, the researchers compared the variability in product (as measured by standard deviation) of a particular piece of equipment to a known analytic capability to decide whether product consistency could be improved. The following data were obtained for 10 batches of product.

At the 1% significance level, do the data provide sufficient evidence to conclude that the product variability for this piece of equipment exceeds the analytic capability of 0.27?

30.1 30.7 30.2 29.3 31.0 29.6 30.4 31.2 28.8 29.8