Fabrics respond differently to the same dye. Clothing manufacturers need to be a

Question

Fabrics respond differently to the same dye. Clothing manufacturers need to be able to match the colors of different fabrics. A researcher dyed samples of cotton and of ramie with a dye called procion blue, applied in the same way to each sample. Then she measured the lightness of the color with a colorimeter on a scale in which black is 0, white is 100. Here are the data for 8 pieces of each fabric.

Do these samples provide evidence significant at the 5% level that the dye affects the cotton and ramie fabrics differently?

Formulate H0H0 and HaHa.

a. Give the test statistic:

b. Give the PP-value:  

c. Your decision for the hypothesis test:

A. Reject H0H0.
B. Do Not Reject HaHa.
C. Reject HaHa.
D. Do Not Reject H0H0.

Cotton: 48.82 48.88 48.98 49.04 48.68 49.34 48.75 49.12 Ramie: 41.72 41.83 42.05 41.44 41.27 42.27 41.12 41.49

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Cotton and Ramie
H0 : D = 0
HA : D 0
Hypothesis test results:

Hence,

a) 69.845214

b) 0

c) Option A; Reject Ho

Difference Mean Std. Err. DF T-Stat P-value Cotton - Ramie 7.3025 0.10455262 7 69.845214 <0.0001

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.