A factory produces ball bearings whose diameters are meant to have a mean of 3 mm. Suppose that the actual sizes are normally distributed with a mean of 3 mm and a standard deviation of 0.2 mm. The overseers took a random sample of n = 100 ball bearings to see if their mean diameter was significantly different than the target. The mean diameter of the ball bearings in the sample was 3 = 2.96 mm. To see how likely a sample like theirs was to occur by random chance alone, the factory overseers performed a simulation. They simulated 75 samples of n = 100 diameters from a normal population with a mean of 3 mm and standard deviation of 0.2 mm. They recorded the mean of the diameters in each sample. Here are the sample means from their 75 samples: 14 12 10 00 Frequency Do 4 problems DOO Check Sto provide a free, world-class About Couns Sige DLL с 0 They want to test H, u = 3 mm vs. H: 73 mm where is the true mean diameter. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was i = 2.96 mm Choose 1 answer: p-value 0.02 p-value = 0.026 © p-value = 0.03 p-value = 0.04