quiz 3
pdf
keyboard_arrow_up
School
University of Idaho *
*We aren’t endorsed by this school
Course
150
Subject
Industrial Engineering
Date
Jan 9, 2024
Type
Pages
5
Uploaded by DorkyDes14
12/11/23, 6:53 PM
Module 5 Quiz: F23 STAT153-02
https://canvas.uidaho.edu/courses/23232/quizzes/68033
1/5
Module 5 Quiz
Due
Oct 10 at 11:59pm
Points
10
Questions
10
Time Limit
None
Instructions
Attempt History
Attempt
Time
Score
LATEST
Attempt 1
16 minutes
10 out of 10
Correct answers are hidden.
Score for this quiz:
10
out of 10
Submitted Oct 6 at 10:13am
This attempt took 16 minutes.
Welcome to the Module 5 quiz. This quiz will comprise of 10 questions. You will have 1 attempt. No
consulting with other people or resources while taking this quiz.
You are allowed to use a
scientific calculator
(addition, multiplication, subtraction, division is all you will need).
1 / 1 pts
Question 1
A normal distribution has how many peaks?
1
12/11/23, 6:53 PM
Module 5 Quiz: F23 STAT153-02
https://canvas.uidaho.edu/courses/23232/quizzes/68033
2/5
1 / 1 pts
Question 2
Answer 1:
Answer 2:
Normal distributions can be fully described with just two numbers; its
mean
and its
standard deviation
.
mean
standard deviation
1 / 1 pts
Question 3
What is the total area under any normal distribution curve.
1
1 / 1 pts
Question 4
Select all variables that we can reasonably expect to have a normal or
nearly normal distribution?
Heights of adults from a random sample
Face values of 1000 six-sided die that were rolled
Diameter of tree trunks from trees that are randomly chosen from some
forest
12/11/23, 6:53 PM
Module 5 Quiz: F23 STAT153-02
https://canvas.uidaho.edu/courses/23232/quizzes/68033
3/5
1 / 1 pts
Question 5
About _______ % of data that follows a normal distribution lies within
1
standard deviation
of the mean.
68
1 / 1 pts
Question 6
About _______ % of data that follows a normal distribution lies within
2
standard deviations
of the mean.
95
1 / 1 pts
Question 7
About _______ % of data that follows a normal distribution lies within
3
standard deviation
of the mean.
99.7
1 / 1 pts
Question 8
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
12/11/23, 6:53 PM
Module 5 Quiz: F23 STAT153-02
https://canvas.uidaho.edu/courses/23232/quizzes/68033
4/5
You have some data that follows a normal distribution that has a mean of
20 and a standard deviation of 5. Find the z-score that is associated with
a data value of 13.
-1.4
1 / 1 pts
Question 9
Find the percentile that is associated with the z-score found from Question
8b by using the table below. DO NOT ROUND! Enter the answer as it
appears on the table.
0.0808
12/11/23, 6:53 PM
Module 5 Quiz: F23 STAT153-02
https://canvas.uidaho.edu/courses/23232/quizzes/68033
5/5
1 / 1 pts
Question 10
Your Answer:
In your own words, answer the following:
What is the central limit theorem?
How does the equation to find the z-score for some value differ when
the data is from a distribution of means vs an ordinary normally
distributed set of data? (HINT: it has to do with the equation for the
standard deviation)
The central limit theorem is a fundamental concept in statistics. It
states that when we add together a large number of independent
random variables, their sum tends to follow a normal distribution. This
is true regardless of the shape of the original distribution. In other
words, as we increase the sample size, the distribution of the sample
means will gradually resemble a normal distribution. This powerful
theorem is widely used in various fields of research and helps us
understand the behavior of random variables in a more precise and
reliable manner.
When dealing with data that is derived from a distribution of means, it
is important to note that the calculation for the standard deviation
differs. Instead of utilizing the standard deviation of the original data,
we must employ the standard deviation of the sampling distribution of
the means, which is commonly known as the standard error. By doing
so, we ensure that our calculations accurately reflect the underlying
population. It is worth mentioning that the formula for the z-score
remains unchanged: z = (X - μ) / σ, where X represents the value, μ
denotes the mean, and σ represents the standard deviation (or
standard error in the case of a distribution of means). This
understanding is crucial for effectively interpreting and analyzing data
in such scenarios.
Quiz Score:
10
out of 10