A manager wishes to see if the time (in minutes) it takes for their workers to c

Question

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 24 workers' times were collected before and after. Test the claim that the time to complete the task has increased at a significance level of =0.10=0.10. For the context of this problem, d=afterbefored=after-before where the first data set represents after and the second data set represents before. Assume the population is normally distributed. Round answers to 4 decimal places.

      Ho:d=0Ho:d=0
      Ha:d>0Ha:d>0

You obtain the following sample of data:

What is the critical value for this test?  
critical value =

What is the test statistic for this sample?  
test statistic =

The test statistic is... Select an answer in the critical region not in the critical region  

This test statistic leads to a decision to... Select an answer accept the claim fail to reject the null accept the null reject the claim reject the null  

As such, the final conclusion is that...

After Before 41.6 42.5 62.7 55.5 63.9 39.6 61.3 72 66.7 65.4 62.7 41.3 60.8 43.6 72 66.9 80.9 70.8 28.9 30.2 54.6 41.3 72.3 59.8 71.6 59.8 22.7 16.4 62.4 47.6 103.7 77.8 27.1 36.2 68.8 68.7 60.4 54.8 35.2 37.2 92.6 77.8 28.7 28.3 55.7 50.1 36.3 32.6

Explanation / Answer

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 24 workers' times were collected before and after. Test the claim that the time to complete the task has increased at a significance level of =0.10=0.10. For the context of this problem, d=afterbefored=after-before where the first data set represents after and the second data set represents before. Assume the population is normally distributed. Round answers to 4 decimal places.

      Ho:d=0Ho:d=0
      Ha:d>0Ha:d>0

You obtain the following sample of data:

What is the critical value for this test?  
critical value =

What is the test statistic for this sample?  
test statistic =

The test statistic is... Select an answer in the critical region not in the critical region  

This test statistic leads to a decision to... Select an answer accept the claim fail to reject the null accept the null reject the claim reject the null  

As such, the final conclusion is that...

After Before 41.6 42.5 62.7 55.5 63.9 39.6 61.3 72 66.7 65.4 62.7 41.3 60.8 43.6 72 66.9 80.9 70.8 28.9 30.2 54.6 41.3 72.3 59.8 71.6 59.8 22.7 16.4 62.4 47.6 103.7 77.8 27.1 36.2 68.8 68.7 60.4 54.8 35.2 37.2 92.6 77.8 28.7 28.3 55.7 50.1 36.3 32.6

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