Hi Sir/Madam,

Could you help me with solving this problem using Rstudio, please?

Problem 2: Classroom Demographics

The file students.csv contains data from a sample of students in a hypothetical classroom.

Heights are in centimeters, weights are in kilograms, and ages are in years.

1. Determine whether male and female students (as a population) differ in average height. Provide a p-value.

2. Determine whether male and female students (as a population) differ in average weight. Provide a p-value.

3. Calculate the Pearson correlation coefficient between height and weight for male students.

4. Calculate the Spearman correlation coefficient between height and weight for students (of either gender) under the age of 25.

5. Assess whether male and female students of similar height differ significantly in average weight (as a population), ignoring all other variables. Provide a p-value. (You may assume that the relation is linear, and that weight increases with height in the same way for both genders.)

6. Produce a scatter plot that illustrates your result from part 5, using labels, symbols, lines, and/or colours as appropriate.

Here is the data set;

Gender Height Weight Age

Male 182 92 21

Male 153 67 25

Female 154 54 22

Male 185 96 21

Male 178 81 21

Male 159 64 30

Female 162 59 22

Female 162 62 24

Female 165 64 33

Female 167 76 26

Male 170 82 21

Female 164 59 21

Male 176 90 21

Female 157 62 22

Female 160 60 22

Male 171 83 21

Male 174 87 24

Female 167 57 21

Male 177 91 23

Male 165 81 22

Waiting to hear from you.

Thank you