SCENARIO 11-12
A student team in a business statistics course designed an experiment to investigate whether the brand
of bubblegum used affected the size of bubbles they could blow. To reduce the person-to-person
variability, the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested. A student chewed two pieces of a brand of gum and then blew
a bubble, attempting to make it as big as possible. Another student measured the diameter of the
bubble at its biggest point. The following table gives the diameters of the bubbles (in inches) for the
16 observations.
-Referring to Scenario 11-12, the randomized block F test is valid only if the
population of diameters has the same variance for the 4 brands.

Question

SCENARIO 11-12
A student team in a business statistics course designed an experiment to investigate whether the brand
of bubblegum used affected the size of bubbles they could blow. To reduce the person-to-person
variability, the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested. A student chewed two pieces of a brand of gum and then blew
a bubble, attempting to make it as big as possible. Another student measured the diameter of the
bubble at its biggest point. The following table gives the diameters of the bubbles (in inches) for the
16 observations. 
-Referring to Scenario 11-12, the randomized block F test is valid only if the
population of diameters has the same variance for the 4 brands.

Quizplus · Accepted Answer

The randomized block F test assumes homogeneity of variances, meaning the population variances should be equal across the groups being compared.

SCENARIO 11-12 a Student Team in a Business Statistics Course Designed an Designed