MATH 215|Mathematics 215 Introduction to Statistics
Assignment 6 2025 Athabasca University
Assignment 6
Assignment 6
Overview
Total marks: / 62
This assignment covers content from Unit 6. It assesses your knowledge of correlational analysis and
regression analysis used to examine the relationship between two quantitative variables.
Instructions
Show all your work and justify all of your answers and conclusions, except for the True/False
questions.
Keep your work to 4 decimals, unless otherwise stated.
Note: Finishing a test of hypotheses with a statement like “reject H0” or “do not reject H0” will be
insufficient for full marks. You must also provide a written concluding statement in the context of the
problem itself. For example, if you are testing hypotheses about the effectiveness of a medical
treatment, you must conclude with a statement like, “we can conclude that the treatment is effective”
or “we cannot conclude that the treatment is effective.”
(43 total marks)
1. A large warehouse superstore is interested in optimizing its customers’ shopping experiences and, as
such, wants to ensure that it is able to staff the store properly during peak hours. The store management
is interested in studying the relationship between the number of tills or checkouts that are open in the
store and the amount of time it takes for a customer to check out (that is, the time it takes from when
they get in line to when they complete their purchase). The data in the following table were collected
from a random sample of 7 customers:
Time to Checkout
Tills Open (minutes)
(x) (y)
2 17
9 10
12 5
5 12
3 15
10 8
6 12
1
, (Revision 10)
(4 marks)
a. Construct a scatter diagram for these data with “Tills Open” on the horizontal (x) axis, and “Time
to Checkout” on the vertical (y) axis. Note: Try to make relatively full use of the graph paper
provided.
(2 marks)
b. Describe the general pattern of relationship between the two variables within the context of this
question.
Assignment 6 2025 Athabasca University
Assignment 6
Assignment 6
Overview
Total marks: / 62
This assignment covers content from Unit 6. It assesses your knowledge of correlational analysis and
regression analysis used to examine the relationship between two quantitative variables.
Instructions
Show all your work and justify all of your answers and conclusions, except for the True/False
questions.
Keep your work to 4 decimals, unless otherwise stated.
Note: Finishing a test of hypotheses with a statement like “reject H0” or “do not reject H0” will be
insufficient for full marks. You must also provide a written concluding statement in the context of the
problem itself. For example, if you are testing hypotheses about the effectiveness of a medical
treatment, you must conclude with a statement like, “we can conclude that the treatment is effective”
or “we cannot conclude that the treatment is effective.”
(43 total marks)
1. A large warehouse superstore is interested in optimizing its customers’ shopping experiences and, as
such, wants to ensure that it is able to staff the store properly during peak hours. The store management
is interested in studying the relationship between the number of tills or checkouts that are open in the
store and the amount of time it takes for a customer to check out (that is, the time it takes from when
they get in line to when they complete their purchase). The data in the following table were collected
from a random sample of 7 customers:
Time to Checkout
Tills Open (minutes)
(x) (y)
2 17
9 10
12 5
5 12
3 15
10 8
6 12
1
, (Revision 10)
(4 marks)
a. Construct a scatter diagram for these data with “Tills Open” on the horizontal (x) axis, and “Time
to Checkout” on the vertical (y) axis. Note: Try to make relatively full use of the graph paper
provided.
(2 marks)
b. Describe the general pattern of relationship between the two variables within the context of this
question.
