Question

Researchers investigated different viewing distances for a 42-inch high-definition television. Four viewing distances were evaluated – 9 feet, 12 feet, 15 feet, and 18 feet. Four separate groups were assigned to each viewing distance. At the end of the video, each participant rated their viewing distance on a scale of 1 (Very Bad, definitely need to move closer or farther away) to 7 (Excellent, perfect viewing distance).

Which of the tests indicated above should be used?

a. Independent Samples t-test
b. Repeated measures t-test
c. One-way ANOVA
d. Regression
e. Correlation
f. One-sample t-test
g. z-test

Answer 1

A one-way ANOVA is the correct test for evaluating the different viewing distances of a television across four groups, as it compares the means of independent groups to look for statistical differences.

Step-by-step explanation:

The test that should be used for evaluating the different viewing distances of a 42-inch high-definition television with four separate groups assigned to each viewing distance is the one-way ANOVA. This method is appropriate because it compares the means of more than two groups to determine if at least one group mean is statistically different from the others. Each group in the study represents different viewing distances, and since participants only viewed the TV from one distance (they did not view from all distances), the data are independent.

The one-way ANOVA compares the means of the viewer's rating scores at different distances to see if there's a significant effect of distance on the viewing experience. It does not assume anything about the relationship between the viewing distances and ratings (unlike regression or correlation) and does not compare just two groups or one group to a standard value (unlike t-tests or z-test).