Setup

Changing the author field and file name.

    1. Change the author: field on the Rmd document from Your Name Here to your own name.
    1. Rename this file to “hwX_YourHameHere.Rmd”, where YourNameHere is changed to your own name.

Cleanup

Once you are done with this setup, updating the author and date fields, delete the Setup and the Cleanup sections of this document!

Packages

# add packages you need for this assignment
library(tidyverse)

Preparation (in-class and group work)

We talked about basic results on sampling distributions: for a mean of a population and a difference in means in two populations. We’ve also gone over some basic R/Python functionality within RStudio, basic functions, packages, etc. You can use all of that knowledge in this homework set. UPDATE ME

Pro-tip: Working through these examples, do reflect on the question of ‘what is the cleanest shortest way I can call a function in R/Python to compute what I need?’ Chances are, we’ve covered that function/code in the lecture examples and worksheets!

… And what’s next? After this, we will go deeper into concepts needed for statistical inference beyond the probability comptuations we are doing right now. UPDATE ME

How to work with this document

There are several ways to format your answer, but whatever you do, please make sure it is readable by a human and clean. That is, don’t leave stray comments and commented instructions in your submitted work. You may use a quote code > to start your answer after any r/python code chunks you are typing. An example is provided in the first question below.

Part ONE: Clarifying the concepts

In these four problems, you will …..

1. Sampling distribution of the sample mean

Instructions

Review the theory about ….

Justify both your computation and the reasoning behind your text answer. Include the plot in your answer and shade the area that represents the probability you computed.

Task

problem statmement

  1. question a.

[optional] Type your explanation here of how and why you may be running any code below.

# type the code you need to compute the answer here.
# silly example I will use below: 
my.output <- 2+3

Type your explanation here and the answer. Make sure to use in-line code chunks for any values you reference from the above computation. Example: the output of my computation above is 5.

  1. question b.

[optional] Type your explanation here of how and why you may be running any code below.

# type the code you need to compute the answer here.
# silly example I will use below: 
my.output <- 2+3

Type your explanation here and the answer. Make sure to use in-line code chunks for any values you reference from the above computation. Example: the output of my computation above is 5.