Question

How do I tell if this is quantitative or categorical. What is the response variable. What would be the null and the alternative written out and in notation.

Can pleasant smells improve learning? Researchers performed an experiment in which 42 subjects were randomly assigned to one of two comparison groups. Subjects assigned to the “treatment” group completed a paper-and-pencil maze with the presence of a floral aroma. Subjects assigned to the control group completed a paper-and-pencil maze without the presence of the floral aroma. All subjects were timed as to how long it took them to complete the maze (in seconds). The data are given in the aroma.csv data set on Canvas. Use these data to determine if there is evidence that the floral scent improved the subjects’ ability to complete the maze? (That is, is the average time to complete the maze faster in the presence of the floral aroma than without?)

Answer 1

Sol:

sample size n=42

divvided into 2 groups

treatment (with presence of a floral aroma)

control no aroma

we are measuring time to complete the maze (in seconds)

measuring quantitative variable.

measuring time taken in seconds

Null Hypothesis

H0:no change in time taken in treatment and control groups that is ther e is change in the average time to complete the maze faster in the presence of the floral aroma than without aroma

H0:

Alternative Hypothesis

H1:treatment groups takes less time in presecnce of floral aroma than control group that there is change in the average time to complete the maze faster in the presence of the floral aroma than without aroma

H1:

Left tail t test to be performed.