Question

A systems specialist has studied the workflow of clerks doing the same inventory work. Based on this study, she designed a new workflow layout for the inventory system. To compare average production for the old and new methods, six clerks were randomly selected for the study. The average production rate for each clerk was recorded before and after the new system was introduced. The results are shown below. Assume the mean difference between the two methods follows a normal distribution. Test the claim that the new system increases the mean number of items process per shift.

Clerk	Old Method	New Methods
Kay	116	123
Joe	108	114
Emily	93	112
Tyler	88	82
Jim	119	127
Todd	111	122

17. Which of the following would be the correct hypotheses to test the claim that the new system increases the mean number of items process per shift.

         Use your TI calculator to find the p-value.

  Round your results to 3 decimal places.

           A. p = 0.037               

           B. p = 0.963

           C. p = 0.073               

           D. p = 0.198

The correct answer is __________

Answer 1

We are given the paired sample , so we have to perform paired t test

Claim : The new system increases the mean number of items process per shift.

H0:  _d = 0

Ha :  _d < 0

Therefore first we need to calculate differences d = Old Method - New Method.

Press STAT--->Select 1: Edit and hit enter..Then plug Old method scores in L1 list and New Method scores in L2 list

Now scroll to top of L3 and set the equation L3 = L1-L2 ( To appear L1- L2 , press 2ND and 1 then -key , then 2ND and 2 )  

In column L3 you will get the all differences d = Old Method - New Method.

Now press STAT ---> scroll to TESTS ---> Select T Test and hit enter.

Then select Data and hit enter.

For   ₀ = 0

List = L3 ( Press 2ND and then 3 )

Directly scroll to select sign under Ha "<"

Scroll to calculate and hit enter.

P- value = 0.037

   A. p = 0.037