A machine that produces ball bearings is installed with an average diameter of 0.5 inches. The 10 ball bearing diameters sampled were measured and the results are summarized as follows. Suppose the population standard deviation is 0.05 inches. Can you conclude that the average diameter is not 0.5 inches at a significance level of 5 percent?

.48 .50 .49 .52 53 .48 .49 .47 .46 .51