Q1
Purchase Intention Purchase Intention: 1-7 interval scale, 1 means "not want to purchase at all, 4 means neutral, 7 means "want to purchase very much"
3 Historically, consumer's purchase intention is known to follow a normal distribution with the mean 3.5
4
3 Question: Is consumer's average puchase intention from this sample considerably higher than the known average?
5 Level of the test: 5%
5
5 1. Define the null and alternative hypotheses:
3
4 H_0:
4 H_a:
3
3 2. Use a p-value for normal distribution with known variance to evaluate the hypotheses.
4
2 3. Provide your answer by comparing the p-value with α
4
4 Note: Be mindful of the distribution and which side of the tail you are interested in (right/left
oth ?).
4
4
3
5
4
5
4
6
3
4
1
3
5
4
4
5
1
7
3
3
3
4
7
5
3
Q2
Purchase Intention Purchase Intention: 1-7 interval scale, 1 means "not want to purchase at all, 4 means neutral, 7 means "want to purchase very much"
3
4 Question: Is consumer's average puchase intention different from neutral?
3 Level of the test: 10%
5
5 z critical= 1.645
5
3 1. Define the null and alternative hypotheses:
4
4 H_0:
3 H_a:
3
4 2. Conduct a z test to evaluate the hypotheses.
2
4 3. Calculate the Z value
4
4 4. Provide your answer by comparing the Z value with Z critical
4
3 Note: Be mindful of the distribution and which side of the tail you are interested in (right/left
oth ?).
5
4
5
4
6
3
4
1
3
5
4
4
5
1
7
3
3
3
4
7
5
3
Q3
PI_CG PI_EG A marketing researcher is testing whether watching a new ad makes consumer more likely to buy the product.
4 6 To do that, she randomly assign 40 potential consumers into a control group and a experiment group.
4 6 Only the consumers in the experiment group watch the new ad. And consumers from both groups were asked about their purchase intention.
1 5
5 5 Question: Does the new ad make a difference on consumer's purchase intention? Positively or negatively?
2 4 Level of the test: 5%
2 6
5 5 1. Define the null and alternative hypotheses:
4 4
4 4 H_0:
3 6 H_a:
4 6
4 5 2. Conduct a t test to evaluate the hypotheses. Take necessary steps to choose and justify which type of t test you used (equal or unequal variance?)
7 7
5 4 3. Provide your answer by comparing the t stat with critical t
5 5
3 3 4. Provide your answer based on p-value of the t test
5 7
7 4 Note: Be mindful of the distribution and which side of the tail you are interested in (right/left
oth ?).
6 6
6 5