Two different batteries are being considered for an industrial application. A random sample of 30 of Battery A produces a mean of 16.4 hours of...

Two different batteries are being considered for an industrial application. A random sample of 30 of Battery A produces a mean of 16.4 hours of useful voltage with a standard deviation of 3.2 hours. A sample of 30 of Battery B produces a mean of 18.1 hours with a standard deviation of 2.7 hours. The researcher is interested in finding evidence at the .05 level that Battery A has a shorter average than Battery B.

Which of the following pairs of hypotheses correctly characterizes the question of interest?

What's the value of the test statistic (using sample A as sample 1)?

What is the p-value?

What is the correct decision?