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...

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Q1 Purchase IntentionPurchase Intention: 1-7 interval scale, 1 means "not want to purchase at all, 4 means neutral, 7 means "want to purchase very much" 3Historically, consumer's purchase intention is known to follow a normal distribution with the mean 3.5 4 3Question: Is consumer's average puchase intention from this sample considerably higher than the known average? 5Level of the test: 5% 5 51. Define the null and alternative hypotheses: 3 4H_0: 4H_a: 3 32. Use a p-value for normal distribution with known variance to evaluate the hypotheses. 4 23. Provide your answer by comparing the p-value with α 4 4Note: Be mindful of the distribution and which side of the tail you are interested in (right/left/both ?). 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 IntentionPurchase Intention: 1-7 interval scale, 1 means "not want to purchase at all, 4 means neutral, 7 means "want to purchase very much" 3 4Question: Is consumer's average puchase intention different from neutral? 3Level of the test: 10% 5 5z critical=1.645 5 31. Define the null and alternative hypotheses: 4 4H_0: 3H_a: 3 42. Conduct a z test to evaluate the hypotheses. 2 43. Calculate the Z value 4 44. Provide your answer by comparing the Z value with Z critical 4 3Note: Be mindful of the distribution and which side of the tail you are interested in (right/left/both ?). 5 4 5 4 6 3 4 1 3 5 4 4 5 1 7 3 3 3 4 7 5 3 Q3 PI_CGPI_EGA marketing researcher is testing whether watching a new ad makes consumer more likely to buy the product. 46To do that, she randomly assign 40 potential consumers into a control group and a experiment group. 46Only the consumers in the experiment group watch the new ad. And consumers from both groups were asked about their purchase intention. 15 55Question: Does the new ad make a difference on consumer's purchase intention? Positively or negatively? 24Level of the test: 5% 26 551. Define the null and alternative hypotheses: 44 44H_0: 36H_a: 46 452. 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?) 77 543. Provide your answer by comparing the t stat with critical t 55 334. Provide your answer based on p-value of the t test 57 74Note: Be mindful of the distribution and which side of the tail you are interested in (right/left/both ?). 66 65