Question

An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 66 type K batteries and a sample of 59 type Q batteries. The mean voltage is measured as 8.62 for the type K batteries with a standard deviation of 0.628, and the mean voltage is 9.01 for type Q batteries with a standard deviation of 0.543. 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 0.1 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.

A. Reject Null Hypothesis

B. Fail to Reject Null Hypothesis

Answer 1

We want to test that 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.

1) State the null and alternative hypotheses for the test.

Ho:- μ1 = μ2 vs Ha:- μ1 # μ2

2)

A sample of 66 type K batteries

A sample of 59 type Q batteries.

The mean voltage is measured as 8.62 for the type K batteries with a standard deviation of 0.628

The mean voltage is 9.01 for type Q batteries with a standard deviation of 0.543