Solving Statistics Using R Studio

Please solve the following four statistic questions, and the last question should be solved via "R" or "R Studio".

Homework Assignment 1

Problem 1 (3 points):

Please provide the requested descriptive statistics for the sample of numbers below.

4  7  8  4  5  2  3  4  5  5  3  8

a)       Mean:

b)      Median:

c)       Mode:

d)      Range:

e)       Variance:

f)       Standard Deviation:

Problem 2 (3 points):

Indicate whether the following data are qualitative or quantitative.

a) Annual Salary: 

b) School Attendance Rate:

c) Political Party Affiliation:

d) Distance to travel between school and home:

e) Highest Degree Obtained:

f) Country of Origin: 

Problem 3 (4 points):

Below is the notation for a particular research design. Please explain what you can determine about the study based on the notation (Is it experimental, quasi-experimental, correlational, or descriptive. How many waves of observations, how many groups).

Problem 4 (10 points):

You have been provided with data from a creative arts therapy program that is to be piloted in Pennsylvania. This program is designed to help children with specific internalizing behavior problems. 1,000 children were selected based on their results from the Internalizing behavior scales in the Achenbach Child Behavior Checklist (CBCL). However, you were not informed as to which specific internalizing syndromes are present in these children. Thankfully, the data you were provided are the children’s Anxious/Depressed, Withdrawn-Depressed, and Somatic Complaints scores. These three scores create the Internalizing behavior branch of the CBCL.

Using the statistical tools we have covered to far (measures of central tendency, measures of dispersion, properties of distributions such as skewness, kurtosis, histograms, QQ plots), try to determine which internalizing behavioral problems are more common in these children. What are the qualities of the children selected for this pilot study with respect to internalizing behavior problems? Please organize your responses into three parts. (A methods section where you describe which descriptive statistics you used, a results section summarizing what you found, and a conclusion section detailing what you conclude regarding these children internalize behavior scores.

Please note that the CBCL scales are t scored and normed to the general population. A score of 50 would represent the average score among children in the United States. How do these children compare to that? Higher scores than that would indicate that behavioral problem is more present within the child (ex. higher anxiety score suggests a child is more anxious).