Question
The results of a study on the effectiveness of line drying on the smoothness of fabric is summarized in the table below. Smoothness scores are
The results of a study on the effectiveness of line drying on the smoothness of fabric is summarized in the table below. Smoothness scores are provided for nine different types of fabric and five different methods: (1) machine dry, (2) Line dry, (3) line followed by 15 minute tumble, (4) line dry with softener and (5) line dry with air movement. Regarding the different types of fabrics as blocks, construct an ANOVA table. Using .05 level of significance, test to see if there is a difference in the true means scores for drying methods.
| Treatment (Method) | Broadcloth (1) | Corduroy (2) | Crepe (3) | Denim (4) | Double Knit (5) | Sheeting (6) | Terry (7) | Twill (8) | Twill Mix (9) |
| 1 | 2.2 | 3.6 | 3.3 | 2.6 | 3.6 | 3.5 | 3.8 | 4.2 | 3.4 |
| 2 | 1.5 | 1.3 | 2.5 | 1.4 | 2.0 | 2.1 | 1.3 | 3.4 | 2.4 |
| 3 | 2.7 | 2.8 | 2.8 | 2.4 | 3.6 | 2.8 | 2.8 | 3.8 | 2.9 |
| 4 | 1.5 | 1.7 | 2.5 | 1.3 | 2.4 | 2.1 | 2.0 | 3.1 | 1.6 |
| 5 | 1.9 | 1.8 | 1.9 | 1.6 | 2.3 | 2.2 | 1.6 | 3.1 | 1.7 |
Answer the following questions:
a. Construct an ANOVA table
b. State the null hypothesis, p value , calculated f value and decision (accept Ho or Reject Ho) for the Blocks
c. State the null hypothesis, p value , calculated f value and decision (accept Ho or Reject Ho) for the Treatment
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Mathematical Statistics With Applications In R
Authors: Chris P. Tsokos, K.M. Ramachandran
2nd Edition
124171133, 978-0124171138
