Question

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.

      Ho:μd=0Ho:μd=0
      HA:μd<0HA:μd<0

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...

• in the critical region
• not in the critical region

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the mean difference of post-strike from pre-strike production is less than 0.
• There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-strike from pre-strike production is less than 0.
• The sample data support the claim that the mean difference of post-strike from pre-strike production is less than 0.
• There is not sufficient sample evidence to support the claim that the mean difference of post-strike from pre-strike production is less than 0.

Answer 1

Conclusion:

• There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-strike from pre-strike production is less than 0.