An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 33 33 type K batteries and a sample of 39 type Q batteries. The type K batteries have a mean voltage of 8.60 , and the population standard deviation is known to be 0.348 . The type Q batteries have a mean voltage of 8.72 , and the population standard deviation is known to be 0.808 . Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let μ 1 be the true mean voltage for type K batteries and μ 2 be the true mean voltage for type Q batteries. Use a 0.01 level of significance. Step 1 of 5: State the null and alternative hypotheses for the test.
Step 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal places.
Step 4 of 5: Make the decision for the hypothesis test.
Step 5 of 5: State the conclusion of the hypothesis test.