An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 57 type K batteries and a sample of 64 type Q batteries. The mean voltage is measured as 9.45 for the type K batteries with a standard deviation of 0.445, and the mean voltage is 9.83 for type Q batteries with a standard deviation of 0.355. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let 1 be the true mean voltage for type K batteries and 2 be the true mean voltage for type Q batteries. Use a 0.02 level of significance.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Step 4 of 4: Make the decision for the hypothesis test