Homework 3.1

Q1. (2 points) Describe null and alternative hypotheses for:

Q2. (2 points) Generate helpful visualizations and descriptive statistics for the above data

Q3. (4 points) Perform t-tests to evaluate your hypotheses, and interpret the results. Reject the null hypothesis if p<0.05.

Answers

Q1.

\(H_{0}\):

\(H_{a}\):

Q2.

library("tidyverse")
── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
✔ dplyr     1.1.4     ✔ readr     2.1.5
✔ forcats   1.0.0     ✔ stringr   1.5.1
✔ ggplot2   3.5.1     ✔ tibble    3.2.1
✔ lubridate 1.9.3     ✔ tidyr     1.3.1
✔ purrr     1.0.2     
── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag()    masks stats::lag()
ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors

Q3.