Question

A supermarket wants to compare the effects of providing free samples of cheddar cheeseA supermarket wants to compare the effects of providing free samples of cheddar cheese on sales. An experiment will be conducted from 5:00 P.M. to 6:00 P.M. for the next 20on sales. An experiment will be conducted from 5:00 P.M. to 6:00 P.M. for the next 20weekdays. On each day customers will be offered one of the following: a small cube ofweekdays. On each day customers will be offered one of the following: a small cube of cheese pierced by a toothpick a small slice of cheese on a cracker a cracker with nocheese pierced by a toothpick a small slice of cheese on a cracker a cracker with no cheese or nothing.cheese or nothing.

(Fill in the blanks below and give your answers as whole numbers.)

DFG =

DFE =

DFT =

Answer 1

Possible independent variables are a small cube of cheese pierced by a toothpick, a small slice of cheese on a cracker, a cracker with no cheese pierced by a toothpick, a small slice of cheese on a cracker, a cracker with no cheese or nothing.

So, we have 5 samples or k = 5

1st is a small cube of cheese pierced by a toothpick

2nd is a small slice of cheese on a cracker

3rd is a cracker with no cheese pierced by a toothpick

4th is a small slice of cheese on a cracker

5th is a cracker with no cheese or nothing.

So, the degree of freedom between samples or DFG = number of samples -1 = k-1= 5-1 = 4

So, we get DFG = 4

Number of individual observations(N) = 20 weekdays = 20*6 = 120 (weekdays including monday to saturday, so 6 days a week)

we know that the degree of freedom within groups or DFE is given as

DFE = N-k

where N = 120 and k = 5

So, DFE = 120- 5 = 115

and DFT = DFG+DFE = 4+115 = 119

So, final answer is

DFG = 4

DFE = 115

DFT = 119