In order to improve the grades of students at UTC, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given below. 
a.Give the hypotheses.
b.Compute the test statistic.
c.At a 0.1 level of significance, test tto determine whether the incentive programs have significantly increased the average grades.
Definitions:
Work In Process Inventory
The value of partially completed goods or products that are in the process of being manufactured.
Perpetual Inventory System
The inventory system in which each purchase and sale of merchandise is recorded in the inventory account and related subsidiary ledger; therefore, the inventory records are updated continuously.
Conversion Cost
The combined cost of direct labor and manufacturing overheads which are incurred to convert raw materials into finished goods.
Direct Materials
Initial materials specifically allocated for the making of certain goods or provision of services.
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