Marketing Research Statistics
Exercise Questions
Exercise Question 1:
A local car dealer is attempting to determine which premium will draw the most visitors to its showroom. An individual who visits the showroom and takes a test ride is given a premium with no obligation. The dealer chose four premiums and offered each for one week. The results are as follows:
|
Week
|
Premium
|
Total Given Out
|
|
1
|
Four-foot metal stepladder
|
425
|
|
2
|
$50 savings bond
|
610
|
|
3
|
Dinner for four at a local steakhouse
|
510
|
|
4
|
Six pink flamingos plus an outdoor thermometer
|
705
|
1(a): Please identify the research question (one sentence).
Here are some examples of the research question:
How/why A is related to B?
Does A cause/equal/bigger/smaller/explain than B?
Whether A is equal/bigger/smaller than B?
1(b) Please generate the appropriate hypothesis
H0:
Ha:
1(c): Find the appropriate statistical test, compute the test statistics. Please give detailed calculation procedures.
1(d): Based on your computed test statistics, draw your conclusions
Question 2
A child psychologist observed 8-year-old children behind a one-way mirror to determine how long they would play with a toy medical kit. The company that designed the toy was attempting to determine whether to give the kit a masculine or feminine orientation. The length of time (in minutes) the children played with the kits are shown below. Calculate the value of t and recommend to management whether the kit should have a male or female orientation.
|
Sex
|
Time played with toy medical kit
|
|
Boys
|
31
|
12
|
41
|
34
|
63
|
7
|
67
|
67
|
25
|
73
|
36
|
41
|
15
|
|
Girls
|
26
|
38
|
20
|
32
|
16
|
45
|
9
|
9
|
16
|
26
|
81
|
20
|
5
|
2(a): Please identify the research question (one sentence).
Here are some examples of the research question:
How/why A is related to B?
Does A cause/equal/bigger/smaller/explain than B?
Whether A is equal/bigger/smaller than B?
2(b) Please generate the appropriate hypothesis
H0:
Ha:
2(c): Find the appropriate statistical test, compute the test statistics. Please give detailed calculation procedures.
2(d): Based on your computed test statistics, draw your conclusions
Question 3: Provide the reasons that you choose the specific test statistics for each of the two questions. For example, if you choose t test, explain why t test is the appropriate test for a particular question.