A multinational firm manufactures several types of 1280 × 1024 LCD displays in several locations. They designed a sampling experiment to analyze the number of pixels per screen that have significant color degradation after 52,560 hours (six years of continuous use) using accelerated life testing. The Excel ANOVA table for their experiment is shown below. Some table entries have been obscured. The response variable (Y) is the number of degraded pixels in a given display. $$\begin{array} { | l | c | c | c | c | c | c | }
\hline \text { Source of Variation } & S S & d f ^ { \prime } & M S & F & P \text {-value } & F \text { crit } \
\hline \text { Country of origin } & 202.9 & & 101.45 & 4.163475 & 0.021927 & \
\hline \text { Display type } & 233.2333 & & 58.30833 & & & \
\hline \text { Interaction } & 147.7667 & & 18.47084 & & & \
\hline \text { Error } & 1096.5 & 45 & 24.36667 & & & \
\hline \text { Total } & 1680.4 & 59 & & & & \
\hline
\end{array}$$ At ? = .05, the interaction effect is:
A)clearly significant.
B)just barely significant.
C)not quite significant.
D)clearly insignificant.

Question

A multinational firm manufactures several types of 1280 × 1024 LCD displays in several locations. They designed a sampling experiment to analyze the number of pixels per screen that have significant color degradation after 52,560 hours (six years of continuous use) using accelerated life testing. The Excel ANOVA table for their experiment is shown below. Some table entries have been obscured. The response variable (Y) is the number of degraded pixels in a given display. $$\begin{array} { | l | c | c | c | c | c | c | } 
\hline \text { Source of Variation } & S S & d f ^ { \prime } & M S & F & P \text {-value } & F \text { crit } \
\hline \text { Country of origin } & 202.9 & & 101.45 & 4.163475 & 0.021927 & \
\hline \text { Display type } & 233.2333 & & 58.30833 & & & \
\hline \text { Interaction } & 147.7667 & & 18.47084 & & & \
\hline \text { Error } & 1096.5 & 45 & 24.36667 & & & \
\hline \text { Total } & 1680.4 & 59 & & & & \
\hline
\end{array}$$ At ? = .05, the interaction effect is:
A)clearly significant.
B)just barely significant.
C)not quite significant.
D)clearly insignificant.

Quizplus · Accepted Answer

The interaction effect is determined by comparing the P-value to the significance level (α = .05). Since the P-value for the interaction effect is not provided, we look at the F-value and F critical value for guidance. However, without explicit values for these regarding the interaction effect, and given the context of the question, we infer the significance based on available information. The lack of provided P-value or explicit concern in the question suggests the interaction effect might not be significant. Additionally, the question's focus on the interaction effect without direct data implies a conclusion based on the absence of evidence, leading to the interpretation that the interaction effect is "clearly insignificant" due to the lack of provided evidence to the contrary.

A Multinational Firm Manufactures Several Types of 1280 × 1024