Analysis of the tensile strength of 100 samples of a newpolymeric material, obtained from each of the two production linesof a company gave the following mean and standard deviation values(in MPa)
| Line 1 | Line 2 |
| sample size | 100 | 100 |
| mean | 33.9 | 35.8 |
| Standard Deviation | 5.83 | 5.92 |
a. Use 5 % significant level can it be concluded that there isno difference in the tensile strength of the products obtained fromthe two production lines?
b. Using 95% confidence interval, estimate the difference in themean strength of the polymers produced in the two productionlines
c. The quality control engineer will only be concerned if thereis a difference of more than 5 MPa in the products produced in thetwo lines. Based on your confidence interval in (b), is thestatistical significance obtain in question (a) of practicalsignificance to the Quality Control Engineer? Explain.
