3.30
Type of graph for the effects for the effects of cognitive behavioral therapy on depression: A social worker tracked the depression levels of clients being treated with cognitive-behavioral therapy for depression. For each client, depression was assessed at weeks 1 to 20 of therapy. She calculated a mean for all of her clients at week 1, week 2, and so on, all the way through week 20.
a. What are the independent and dependent variables in this study?Can I say independent is cognitive behavioral therapy and dependent for client depression.
b. Are the variables nominal, ordinal, or scale? I say it ordinal, correct?
c. Which graph or graphs would be most appropriate to depict the data? Explain why. I say a line graph is goo to depict the data, correct?
4.28
For each of the following situations, state whether the mean would be a statistic or a parameters. Explain your answera. According to Canadian census data the median family income in British Columbia was $66.970, lower than the national average of $69,860
b. The stadium of teams in the English premier league had a mean capacity of 38,391 fans.
c. The General Social Survey includes a vocabulary test in which participants are asked to choose the appropriate synonym from a multiple-choice list of five words. (for example, beast with the choices afraid, words, large, animal, and separate). The mean vocabulary test score was 5.98.
d. The National Survey of Student Engagement asks students at participating institutions how often they discuss ideas or readings with professors outside of class. Among the 19 national universities that made their data public, the mean percentage of students who responded “Very often was 8%.
4.40 Current
tendency and outliers for data on traffic deaths:Below are estimated numbers of annual road traffic deaths for 12 countries based on data from the World Health Organization (http://apps.who.int/gho/data.view.main.51310):
Country Numbers of Deaths
United States |
35,490 |
Australia |
1363 |
Canada |
2296 |
Denmark |
258 |
Finland |
272 |
Germany |
3830 |
Italy |
4371 |
Japan |
6625 |
Malaysia |
7085 |
Portugal |
1257 |
Spain |
2478 |
Turkey |
8758 |
|
|
|
- Compose the mean and the median across these 12 data points. This what I did correct.
mean=sum of terms / number of terms
35,490 + 1363 + 2296 + 258 + 272 + 3030 + 4371 + 6625 + 7085 + 1257 + 2478 + 8758 / 12 = 74083 / 12 = 6173.6The median is the middle number in a sorted list of numbers. So to find the median we need to place the numbers in value order.
- Compute the range for these 12 data points.
n = 12 minX= 258 Q1 = 1310 median = 3154 Q3 = 6855 maxX = 35490Correct?
- Recalculate the statistics in part for A, and part B without the data point for the United States. How are these statistics affected by including or excluding the United States. How might these numbers be affected by including or excluding the United States?
- How might these numbers be affected by using traffic deaths per 100,000 people instead of using the number of traffic deaths overall?
- Do you think that traffic deaths might vary by other personal or national characteristics?