# Mathematics Question

Anonymous

Question description

Doug and David are researchers who examine youth health. Numerous recent studies have suggested that youth in the 10- to 15-year-old range are increasingly engaged in many hours of video game playing, they are not active enough (as defined by at least one hour of exercise per day), and they are disconnected to their family units. However, in some of their own previous research Doug and David found that although students play a lot of video games they remain active and engage in sufficient exercise. In their current study they asked children to keep a log and then to report for a given week the number of hours of video game playing and exercise that they engage in and also to report the number of dinners that their families eat together as a measure of family connection. They also collected gender and age as demographic data.

ID AGE Gender Hours Exercise Dinner 1 12 1 3 14 5 2 13 1 14 10 3 3 12 2 12 2 2 4 11 1 6 7 3 5 11 1 2.5 8.5 3 6 12 2 15 6 2 7 13 1 14 5 1 8 12 2 16 6 4 9 12 1 6 8 3 10 12 2 8 9 3 11 12 1 8 12 3 12 14 1 5 14 3 13 13 2 13 12 3 14 13 1 12 3 2 15 12 2 8.5 7 2 16 12 1 7.75 6 4 17 11 1 8.25 5.5 6 18 14 1 9 8 2 19 14 2 12 7 1 20 12 2 16.5 11.25 3 21 12 2 5.75 10 4 22 12 2 9.75 4 5 23 13 2 12.5 3 1 24 11 1 11.25 4 3 25 12 1 8.25 4 1 26 12 2 24 0 2 27 14 1 1.5 14.5 3 28 12 2 4 12 1 29 12 1 2.75 12 3 30 13 2 14 2.5 4 31 13 1 2.5 13 7 32 14 2 9.25 10 2 33 11 1 8.75 8 3 34 12 1 11.5 7.75 3 35 12 1 12.5 6.5 3 36 13 1 8.25 7 2 37 12 2 7.5 12.25 2 38 12 1 5.75 14 4 39 13 2 6.25 11.5 1 40 11 2 6.5 10.5 2

A. Generate one descriptive research question that can be addressed by Doug and David’s data.

B. Generate one relationship research question that can be addressed by these data.

C. State one null hypothesis that can be tested with these data.

D. Identify the level of measurement for each of the following variables: Age (reported in years), Gender (reported as Female=1; Male=2), Hours of video game playing in the week (reported to the quarter hour), Exercise (reported to the quarter hour), Dinners taken together as a family (0-7 dinners in the week).

E. Please enter the data into a file after double-checking for accuracy.

F. Please provide descriptive information for all of the variables. Which is the best measure of central tendency for each variable? Why?

G. Are there more girls or boys in the sample? On average, do youth in the sample spend more time playing video games or exercising?

H. Graph the dinner (pie chart) and gender (histogram) data. Graph age, hours of game playing, and hours of exercise data with frequency distributions.

2. Explain why the interpretation of a rejected null hypothesis is "relatively easy."

3. Discuss the difference between statistical significance and practical significance and offer at least one way by which each can be estimated.

4. Explain why statistical power is an important issue in quantitative research. Describe three factors that affect power, and discuss the researcher's use of these factors.

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