SCENARIO 11-12
a Student Team in a Business Statistics Course $H _ { 0 } : \mu _ { A } = \mu _ { B } = \mu _ { C } = \mu _ { D }$

question 206

Short Answer

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, what is the null hypothesis for testing the block effects? a) $H _ { 0 } : \mu _ { A } = \mu _ { B } = \mu _ { C } = \mu _ { D }$
b) $H _ { 0 } : \mu _ { K _ { \text {ve } } } = \mu _ { \text {Sarah } } = \mu _ { \text {Leigh } } = \mu _ { \text {Issac } }$
c) $H _ { 0 } : M _ { A } = M _ { B } = M _ { C } = M _ { D }$
d) $H _ { 0 } : M _ { \text {Eyle } } = M _ { \text {Sarah } } = M _ { \text {Leigh } } = M _ { \text {Lesac } }$

---

Definitions:

Color Receptors

Specialized cells in the retina of the eye, called cones, that are sensitive to different wavelengths of light, enabling color vision.

Hermann Von Helmholtz

A German physicist and physician known for his contributions to the understanding of the conservation of energy, optics, and acoustics.

Thomas Young

A British polymath known for his contributions to the fields of vision, light, solid mechanics, energy, physiology, and language.

Ganglion Cell

Ganglion cell refers to a type of neuron located in the retina that receives visual information from photoreceptors via bipolar cells and transmits it to the brain through the optic nerve.