Company A packaged bolts in boxes that are normally distributed with a mean of 312 bolts and a standard deviation of 4.1 bolts. Company B packages bolts in boxes that are normally distributed with a mean of 290 bolts and a standard deviation of 3.7 bolts. Which Company is more likely to produce a box of exactly 300 bolts? Explain your answer using Z scores.

Question

Company A packaged bolts in boxes that are normally distributed with a mean of 312 bolts and a standard deviation of 4.1 bolts. Company B packages bolts in boxes that are normally distributed with a mean of 290 bolts and a standard deviation of  3.7 bolts. Which Company is more likely to produce a box of exactly 300 bolts? Explain your answer using Z scores.