A vineyard owner takes a random sample of 11 bottles of wine produced by her vineyard. For each bottle the volume of wine (in ml) is recorded and the results are given below. 753.4 753.7 745.3 745.4 750.0 750.4 750.5 750.1 754.5 748.0 748.8 Furthermore, the volume of wine per bottle, X N N (a, 02) for some unknown ,u and 02. Find the mean and variance of the volume of wine in the bottles and construct a 99% condence interval for the mean volume of wine per bottle. The vineyard owner claims that the mean volume of wine is 750ml. Is the data consistent with the owner's claim