Question

We compared the mean number of hours spent playing video games between students who ride the bus, take a car, and walk or ride bike as the primary means of transportation to school. The results are below.

Is there strong evidence to show a difference in the mean number of hours played by these students?

μ i= the mean number of hours playing video games by group i.

H₀: μ b u s = μ c a r = μ w a l k / r i d e

H_A: At least one of the means is different.

Video Game Hours

Travel_to_School	n	Mean	Std. Dev.	Std. Error
Bus	52	5.2019231	7.6762044	1.064498
Car	267	3.4868914	6.6921299	0.4095517
Walk or Ride	29	9.6724138	15.255137	2.8328079

p-value = 0.0003

Answer the following questions:

A) Which statistical inference procedure would be most appropriate to answer this question? Explain how you know.

B) Write an appropriate conclusion using the p-value provided above.

C) It appears that, on average, students who walk or ride a bike to school also tend to play more hours of video games? Can we conclude with this study that making a student walk or ride a bike to school can cause an increase in playing more video games? Explain why or why not?

D) Identify one group of people who might find this information useful and how might knowing this information affect their decisions or actions?

Answer 1

(a) The One-Way ANOVA test is appropriate here since we have 3 levels of the independent variable.

(b) The p-value is 0.0003.

Since the p-value (0.0003) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference in the mean number of hours played by these students.

(c) Looking at the sample means, we can say that there is a significant difference in the mean number of hours played by students who walk or ride and the other group students. This means that making a student walk or ride a bike to schools can cause an increase in playing more video games.

(d) Those students who walk or ride a bike to school could avoid this situation by changing their way of transportation to avoid spending extra hours playing video games.