Question

STUDY 4

The university is building a number of active learning classrooms and came across a chair called the Ruckus Stool that is designed specifically for collaborative work. The design allows users to comfortably use it frontward and backwards, but you are unsure whether it will work for a wide range of activities. To test the design before ordering a large number, you ask a group of students to try it for three types of lessons: i) lecture, ii) two-person group work, iii) four-person group work. Each student only tries a single lesson type. You ask each student to record the number of times they had to adjust their seating position due to physical discomfort. You are interested in whether the lesson type impacts comfort in this chair.

i. Identify and rationalize the most appropriate statistical test.

ii. State the null and alternative hypothesis for the question whether there is an effect of lesson type.

iii. Identify the appropriate test statistic.

Question 5 options:

Question 6 (3 points)

For each of the following studies, identify and rationalize the most appropriate statistical test (e.g., t-test, regression etc.). Include the null and alternative hypotheses (be mindful of direction in the test), as well as the appropriate test statistic (e.g., F-score for an F-test).

STUDY 2

A geneticist was interested in the degree to which behavior is determined by gender. She conducted a survey of 40 random students. The scientist categorized each student as being male or female, and their study behavior as diligent, procrastination or reactive. She wants to know whether study style depends on gender.

i. Identify and rationalize the most appropriate statistical test.

ii. State the null and alternative hypotheses in terms of the relationship between the variables.

iii. Identify the appropriate test statistic.

Answer 1

Able to understand only two question. Question 5 and 6 are incomplete.

The university is building a number of active learning classrooms and came across a chair called the Ruckus Stool that is designed specifically for collaborative work. The design allows users to comfortably use it frontward and backwards, but you are unsure whether it will work for a wide range of activities. To test the design before ordering a large number, you ask a group of students to try it for three types of lessons: i) lecture, ii) two-person group work, iii) four-person group work. Each student only tries a single lesson type. You ask each student to record the number of times they had to adjust their seating position due to physical discomfort. You are interested in whether the lesson type impacts comfort in this chair.

i. Identify and rationalize the most appropriate statistical test.

In this case we have 3 groups, each does the sample lesson by sitting on the same type of chair. We record the number of times they adjust their sitting position.

Hence we need to find if the chair is suitable for all kind of lesson. For this we need to check if the mean number of times the student has adjusted their position is the same or different in the 3 groups.

Hence we use a one way anova to test this hypothesis.       

ii. State the null and alternative hypothesis for the question of whether there is an effect of lesson type.

Ho: The mean number of times the student adjusted their sitting position is the same in the 3 groups.

H1 : At least one of the 3 groups has a mean different from the others.

iii. Identify the appropriate test statistic.

For a one way anova, we use F test statistic.(Fscore)

STUDY 2

A geneticist was interested in the degree to which behavior is determined by gender. She conducted a survey of 40 random students. The scientist categorized each student as being male or female, and their study behavior as diligent, procrastination or reactive. She wants to know whether study style depends on gender.

i. Identify and rationalize the most appropriate statistical test.

In this test we need to determine if there is a relationship between gender and behaviour.
We categorized a student at two level
- based on gender ( Male or female)
- based on behaviour (diligent, procrastination or reactive)

We can put the count of each type in table as given below.

Hence to test if there is a relationship between gender and behaviour using count data, we must use chi-square test of independence.

ii. State the null and alternative hypotheses in terms of the relationship between the variables.

HO: Gender and behaviour are independent of each other.
H1: Gender and behaviour are not independent(dependent or related) of each other.

iii. Identify the appropriate test statistic.

Test statistic = chi square