A Fast Food Chain Test Marketing a New Sandwich Chose $E ( y )$

question 42

Essay

A fast food chain test marketing a new sandwich chose 18 of its stores in one major
metropolitan area. Nine of the stores were in malls and nine were free standing. The
sandwich was offered at three different introductory prices. The table shows the number
of new sandwiches sold at each location for each location type and price combination. Number of New Sandwiches Sold



a. Write a model for the mean number of sandwiches sold, $E ( y )$ , assuming that the relationship between $E ( y )$ and price, $x _ { 1 }$ , is first-order.
b. Fit the model to the data.
c. Write the prediction equations for mall and free-standing stores.
d. Do the data provide sufficient evidence that the change in number of sandwiches sold with respect to price is different for mall and free-standing stores? Use $\alpha = .01$ .

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Definitions:

Cross-modal Transference

The ability to transfer information acquired through one sensory modality to another.

Habituation Time

The duration it takes for an individual to become accustomed or less responsive to a repetitive stimulus.

Visual Preferences

The tendency of individuals to favor certain visual stimuli over others, which can influence attention, selection, and memory processes.

Language Development

The method through which children learn to comprehend and express language in their early years.