Question

Problem 2 A valve manufacturer produces a butterfly valve composed of two semicircular plates on a common spindle that is used to permit flow in one direction only (seen here: http://en.wikipedia.org/wiki/Butterfly_valve). The semicircular plates are supplied by a vendor with specifications that the plates be 2.37 millimeters thick and have a tensile strength of five pounds per millimeter. A random sample of 20 such plates is taken. Electronic calipers are used to measure the thickness of each plate. A universal testing machine was used to test the tensile strength. The sample data are found in the Homework 7.xlsx file. Determine, with 95% confidence, if mean tensile strength is less than five pounds per millimeter. Use the critical value approach. Are more than half of plates thicker than 2.37? Use the p-value approach with 95% confidence a. b.

Thickness	Strength
2.4066	4.9175
2.1328	4.8067
2.5937	5.1246
2.1933	4.7555
2.4579	4.7233
2.0665	4.3934
2.1994	4.4609
2.4575	4.7377
2.6724	4.3407
2.2738	4.9487
2.5392	4.4265
2.7956	4.3583
2.1228	4.5608
2.2055	4.8207
2.4359	4.7769
2.3353	5.2468
2.3238	4.8706
2.5267	4.5138
2.2146	4.4402
2.2699	4.6548

The sample data is provided. Please show as much work and detail as possible. Thank you!

Answer 1

Gi 9175 4.8067 4.7555 4·7233 . 3934 4 4609 4, 7377 4.9487 4.4265 4.35 83 4. 5608 4.8207 4 7769 5.2468 . 8706 45136 4.654 eo 46939 S.D 0-2564 O-2.564 20 0.05a3

Hera est stal (x Hoon) S. D 46939-5 -5 3386 1129 fHi ts statistics is lou then citical value eck- null kyPthosis and Corcludewith 95% Confideut ha ean tensila st nułnbos of loks aving Hickneg mos Han