A product developer is interested in reducing the drying time of a primer paint. Two formulations of the paint are tested: Formulation-1 is the standard chemistry and formulation-2 is a new drying ingredient that should reduce the drying time. From experience, it is known that the standard deviation drying tine is 8 min and it should not be affected by addition of new ingredient. 10 specimens are painted with each formulation and data is tabulated below:

Parameter Formulation-2 Formulation- 1
Average 121 min 112 min
Sample size 10 10

Required:
a. By hypothesis testing method, check if the addition of new ingredient reduces the drying time. (Write the hypothesis, test statistics, critical region decision). Use alpha = 0.05.
b. What is the P-value of your test?
c. Draw P-value and a value in a standard normal distribution curve.