An experiment was performed to investigate the effectiveness of five insulating

Question

An experiment was performed to investigate the effectiveness of five insulating materials. Four samples of each material were tested at an elevated voltage level to accelerate the time to failure. The failure times (in minutes) are shown below:

2

A) What is the number of replicates in these experiments?

B) What is the response variable?

C) What is the factor?

D) How many factors do we have for this problem?

Using Minitab.

Material Failue Time (minutes) 1 110 157 194 178 2 1 2 4 18 3 880 1256 5267 4355 4 495 7040 5307 10050 5 7 5 29

2

Explanation / Answer

a) The number of replicates in these experiments is 4

b) Response variable is Failure Time (minutes)

c)

Factor is Material

d)

In the factor (material), there is only one factor

H0: There is no significance difference between the means of 5 material

H1: There is atleast one significance difference between the means of 5 material

Let the los be alpha = 5%

The OUTPUT from MINITAB is

Welcome to Minitab, press F1 for help.

One-way ANOVA: 1, 2, 3, 4, 5

Source DF SS MS F P
Factor 4 103170383 25792596 6.19 0.004
Error 15 62463701 4164247
Total 19 165634085

S = 2041 R-Sq = 62.29% R-Sq(adj) = 52.23%

Individual 95% CIs For Mean Based on
Pooled StDev
Level N Mean StDev -------+---------+---------+---------+--
1 4 160 36 (-------*------)
2 4 6 8 (------*------)
3 4 2940 2198 (------*------)
4 4 5723 3998 (------*------)
5 4 11 12 (------*------)
-------+---------+---------+---------+--
0 3000 6000 9000

Pooled StDev = 2041

Here P-value = 0.004 which is less than alpha 0.05, we reject H0

Thus, we conclude that there is atleast one significance difference between the means of 5 material

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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