A company produces cans of stewed tomatoes with an advertised weight of 14 ounces. The company's quality-control engineer wants to check whether the cans actually average 14 oz. For her test she randomly selects 35 cans and obtains an average of 13.9 oz and standard deviation of 0.34 oz.

At a significance level of alpha = 0.05, does the data give convincing evidence that the average weight of the cans is less than 14 ounces?