An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 99 type K batteries and a sample of 100 type Q batteries. The type K batteries have a mean voltage of 8.50, and the population standard deviation is known to be 0.423. The type Q batteries have a mean voltage of 8.76, and the population standard deviation is known to be 0.221. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let μ1 be the true mean voltage for type K batteries and μ2 be the true mean voltage for type Q batteries. Use a 0.05 level of significance.