Fusible interlinings are being used with increasing frequency to support outer fabrics and improve the shape and drape of various pieces of clothing. The accompanying data on extensibility (%) at 100g/cm for both high quality (H) and poor quality (P) is given. a. Explain why we should consider these independent distributions b. a normal probability plots for both samples to assess normality c. Test to see if the variances are equal d. Test to see if the means are equal vs. HA : 1 2 e. Give the real-world answer f. Create a 95% confidence interval for the mean difference and use it to test the hypothesis from part d g. Do you get the same answers for parts d and f? Explain why this works.

high	Poor
1.2	1.6
0.9	1.5
0.7	1.1
1	2.1
1.7	1.5
1.7	1.3
1.1	1
0.9	2.6
1.7
1.9
1.3
2.1
1.6
1.8
1.4
1.3
1.9
1.6
0.8
2
1.7
1.6
2.3
2