Question $2(12$ marks$)$

A marketing research team aims to examine how different combinations of advertising intensity $($low versus high$)$ and product quality $($standard versus premium$)$ impact consumer awareness and perceptions of a brand. Participants are randomly assigned to one of the conditions, with brand awareness, brand attitude, and word$-$of$-$mouth measured on a $9-$point scale.

In the context of electronic appliances, a total of $42$ valid responses were collected. However, two completed questionnaires $($on pages $3-4)$ have not been entered into the 'Dataset$\_$Assignment$2$b$.$sav' dataset. Please input the missing responses and answer the following questions.

$($a$)$ How do the varying levels of advertising intensity affect brand awareness? Perform the statistical test. Explain your answer and interpret the results. $(3$ marks$)$

$($b$)$ How does advertising intensity interact with product quality to affect brand attitude and word$-$of$-$mouth? Perform the statistical test. Explain your answer and interpret the results. $(7$ marks$)$