An experiment was conducted to try to resolve a problem of b

An experiment was conducted to try to resolve a problem of brake discs overheating at high speed on construction equipment. Five different brake discs were measured by two different temperature gauges. The temperature of each brake disc and gauge combination was measured at four different times. Use the data collected to complete parts (a) through (e) below

a. Find the F stat
    Find the P value
    Is there an interaction between brake disc and temperature gauge?
b. At the level of 0.1 level of significance,
   Find the F stat
    Find the P value
    Is there an effect due to break disc
c. Is there an effect due to temperature change
   Find the F stat
    Find the P value

Solution

MINITAB is used for analysis

MINITAB output

General Linear Model: Temperature versus Gauge, Brack disk

Factor Information

Factor      Type   Levels Values

Gauge       Fixed       2 1, 2

Brack disk Fixed       5 1, 2, 3, 4, 5

Analysis of Variance

Source              DF Adj SS Adj MS F-Value P-Value

Gauge              1     663   663.3     0.18    0.672

Brack disk         4   34982 8745.4     2.41    0.071

Gauge*Brack disk   4    2761   690.1     0.19    0.942

Error               30 108878 3629.3

Total               39 147283

Model Summary

      S    R-sq R-sq(adj) R-sq(pred)

60.2433 26.08%      3.90%       0.00%

RESULTS

a. Find the F stat = 0.19
    Find the P value =0.942

P value =0.942 > 0.10 level of significance, do not reject null hypothesis
    Is there an interaction between brake disc and temperature gauge?
There is no interaction between brake disc and temperature gauge