Question

8. The confectionary company "Sugary Sweet" wants to test how sweet and flavorful their participants like their candy. They manipulated three levels of sugar and also two levels of flavor in the candy for their participants to score their preference. State the hypotheses for their study.

Answer 1

Solution :

It is given that a company named  "Sugary Sweet" wishes to test about the sweet and the flavorful that their participants like the candy.

There are Two levels of the flavor and three levels of sugar.

Thus it is a Two Way ANOVA test.

A two-way ANOVA test is used to test the effect of any two independent variables on the dependent variable.

$H_{01} : \text{Mean effect of the sugar are equal}$

$H_{02} : \text{Mean effect of the flavor are equal}$

$H_{01} : \text{There is no interaction between the sugar and the flavor}$