a manager of a t shirt company wants to analyse an efficiency training program that was recently

a) First, we need to find the differences between the before and after training values for each

Question

A manager of a t-shirt company wants to analyze an efficiency training program that was recently implemented in her manufacturing department. She wishes to test whether there has been an improvement in the quantity of t-shirts produced as a result of the training. The manager randomly selects 9 employees at the beginning of a training session and records the individual numbers of t-shirts they produced in one week. At the end of the training, the same employees have their productivity recorded again. The following data was collected: Weekly Number of T-shirts Produced Employee Before training After training 1 111.5 115 2 120 124 3 131 132 4 134 137 5 135 135 6 142 144 7 142 142 8 146 146 9 140 140 Test the following Null and alternative hypotheses: Ho: μD ≥ 0 H1: μD < 0 where μD is μBefore - μAfter Also consider alpha of 0.01 for this test. a) What is the sample mean of the differences? (3 marks) b) What is the sample standard deviation of the differences? (use two decimal places) (3 marks) c) What is the Decision Rule? (3 marks) (e.g. Reject the null if the test stat is < or > ???) d) What is the Test Statistic? (3 marks) e) What is the conclusion? (2 marks)

          A manager of a t-shirt company wants to analyze an efficiency training program that was recently implemented in her manufacturing department. She wishes to test whether there has been an improvement in the quantity of t-shirts produced as a result of the training. The manager randomly selects 9 employees at the beginning of a training session and records the individual numbers of t-shirts they produced in one week. At the end of the training, the same employees have their productivity recorded again. The following data was collected: Weekly Number of T-shirts Produced

Employee Before training After training 
1 111.5 115 
2 120 124 
3 131 132 
4 134 137 
5 135 135 
6 142 144 
7 142 142 
8 146 146 
9 140 140 

Test the following Null and alternative hypotheses: 
Ho: μD ≥ 0 
H1: μD < 0 

where μD is μBefore - μAfter 

Also consider alpha of 0.01 for this test. 

a) What is the sample mean of the differences? (3 marks) 
b) What is the sample standard deviation of the differences? (use two decimal places) (3 marks) 
c) What is the Decision Rule? (3 marks) (e.g. Reject the null if the test stat is < or > ???) 
d) What is the Test Statistic? (3 marks) 
e) What is the conclusion? (2 marks)

Added by Brandi G.

Question

Please give Ace some feedback