Q1. Preference ranking data were obtained from 20 respondents for three brands of dishwashers: X, Y, and Z. Y and Z are existing brands selling for $225 and $175 respectively, while X is a proposed new brand. Table 1 provides the preference ranking data for 3 of the 20 respondents, (i.e., all 3 provided the identical preference ranking indicated in Table 1), Table 2 gives the data for 5 respondents, Table 3 for 4 respondents, and Tables 4 and 5 for 6 and 2 respondents respectively. A rank of 1 indicates the most- preferred product, while 15 indicates the least-preferred product.
Table 1 |
Table 2 |
Table 3 |
Table 4 |
Table 5 |
|||||||||||
X |
Y |
Z |
X |
Y |
Z |
X |
Y |
Z |
X |
Y |
Z |
X |
Y |
Z |
|
$150 $175 $200 $225 $250 |
2 4 7 10 13 |
1 3 6 9 12 |
5 8 11 14 15 |
4 5 8 11 13 |
1 2 3 7 10 |
6 9 12 14 15 |
4 6 9 12 15 |
2 5 8 11 14 |
1 3 7 10 13 |
1 2 5 8 11 |
3 4 7 12 14 |
6 9 10 13 15 |
2 5 9 10 15 |
1 6 8 11 13 |
3 4 7 12 14 |
When Y and Z are existing brands, the market is on the side of Y and Z. When a new brand X enters the market, usually consumers tend to buy X due to its discount or offers or the advertisement. If Y and Z wants to increase their market, they will obviously increase their sales by reducing the price. In that case, if they reduce their price from $225 and $175 to $200 and $150 then consumers move to them. Or if they want product X, they'll not shift.
Both of the brands suffer almost equal loss.
Q1. Preference ranking data were obtained from 20 respondents for three brands of dishwashers: X, Y,...
Exercise (Milk
Preference)
Suppose that customers
can purchase one of three brands of milk at a supermarket. In a
study to determine whether one brand is preferred over another, a
record is made of a sample of n = 300 milk purchases. The data are
shown in the following table. Do the data provide sufficient
evidence to indicate a preference for one or more brands? Assume α
= 5%.
What is the value of
the test statistic?
What are the...
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A preference schedule for ranking five varieties of chocolate
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