Homework 1 Due Friday, September 09, 2022

Write your solutions on your paper, take pictures of your solutions and submit them on canvas for grading.

Alternatively, submit you solutions, (on paper), in class on Friday, September 09.

1. A Math 273 class has 40 students. You are required to undertake a study to estimate the percentage

of the students in the class who have type B blood.

(a) What is the population for this study?

(b) What is the variable for this study?

(c) Describe how you would draw a simple random sample of 10 students for this study.

2. A new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms

have revealed themselves. The table below gives the lengths of time, in months, a sample of 40 patients

lived from the start of treatment until their deaths.

2 4 11 15 16 17 22 44 37 16

14 24 25 15 26 17 33 29 35 44

13 21 22 10 12 8 52 32 16 20

11 34 29 27 8 24 18 51 33 34

(a) What is the population for this study?

(b) What is the variable for this study?

(c) Construct a grouped frequency distribution for the data, consisting of seven classes.

(d) Construct a histogram. How would you describe this histogram?

(e) Construct a frequency polygon.

(f) Construct an ogive.

3. The Önal letter grades earned on a mathematics course are given in the table below.

A B C D F W

10 11 20 12 3 4

(a) Use a pie chart to represent this data.

(b) Use a bar chart, with vertical bars, to represent this data.