ECON 2370 UH Dataset on The Effectiveness of A Math Placement Exam Project ECON 2370 Homework 4 dueTuesday July 28, 2020 Out of 100 points. Turn in one p

ECON 2370 UH Dataset on The Effectiveness of A Math Placement Exam Project ECON 2370 Homework 4

dueTuesday July 28, 2020

Out of 100 points.
Turn in one pdf file. Other file formats will not be accepted.
Answer all questions inside this document and in the same order. Questions answered out of order will not be graded. All questions should appear in the homework.
Copy&Paste tables/graphs from R below each question. You will need to delete blank lines as you do this. Be careful not to delete any questions or change the format of the number list.
There is a penalty for up to 10 points for not following any of the instructions above.
A Dataset on the Effectiveness of a Math Placement exam

Download and open the comma-delimited file MathPlacement.csv on R to answer the following questions. Read the supporting documentation MathPlacement.pdf to understand the contents of the file. The dataset is a sample of results from a Math Placement exam at a liberal arts college.

How many observations are there in the dataset
How many variables are in the dataset?
Which variables are quantitative?
Report the Descriptive Statistics (Paste your output from R)

# R code

attach(MathPlacement)

summary(MathPlacement)

Write one or two sentences describing the characteristics of the typical (average) individual in the sample? (Hint: Use the means or medians from the descriptive statistics.)
Is there an association between the student’s rank in its high school class and the placement test score?
Do a scatter plot between PlcmtScore and Rank.
What is the correlation coefficient between PlcmtScore and Rank.
Show the distribution of grades and comment comment on the distribution.
Show the distribution of the placement score
Battle of the sexes: Who are performing better in this data set, Females or Males?
Construct a two way frequency distribution between variables Gender and Grade.
Construct a 100% Stacked Bar Chart of Gender and Grade with Grade in the horizontal axis and Grades in categories.
Who is performing better? Males or Females? By a little or by much? Comment using the graphs/tab;e in (a) and (b).
Calculate a 95% confidence interval for the population mean of SAT score in Math..
Calculate a 95% confidence interval for the population proportion of male students.
Calculate it by hand. Show your work.
Calculate it in R. Paste your output here.

# R code

plot(Rank, PlcmtScore, main=” Student’s Adjusted Rank in High School and Placement Score”)

# R code

cor(Rank, PlcmtScore)

# R code

gradedist