Q.1 Paired

A manager of a t-shirt company wants to analyse 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:

A manager of a t-shirt company wants to analyse an efciency 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 3 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 1 111.5 115 124 132 13? 135 144 143 145 146 14E! 14E! {occurs-mews:- Test the following Null and alternative hypotheses: Hg: pi] e D H1: pi?! e t] where pl] is uEefore - uAfter Also consider alpha of 0.01 for this test