You wish to test the following claim (HAHA) at a significance level of α=0.01α=0.01. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents pre-strike production and the second data set represents post-strike production.
You believe the population difference of production is normally distributed, but you do not know the standard deviation. You obtain pre-strike and post-strike production samples for n=6n=6 subjects. The average difference (post - pre) is ¯d=−47.4d¯=-47.4 with a standard deviation of the differences of sd=33.2sd=33.2.
Calculate the critical value accurate to the thousandths.
critical value =
Calculate the test statistic accurate to the thousandths.
test statistic =
The test statistic is...
This test statistic leads to a decision to...
As such, the final conclusion is that...