STA 1013 FSU Classifying Categorical & Quantitative Variable Questions

Quiz 1
STA 1013
Due: 01/22/2023
Department of Statistics
Student Name: ________________________
Florida State University
FSUID: _______________________________
Spring 2023
Instructions:
This quiz is open note, but collaboration is not permitted, meaning you are not allowed
to communicate with another person about the questions.
Please write down all your steps clearly to receive all points.
Even if you do not know how to solve a problem completely, write down the steps you
do know to receive partial credit.
There are 13 problems to this quiz worth 65 total points.
Your answers must be submitted on Canvas by 11:59pm on Sunday, January 22nd.
Pledge of Academic Honesty:
I pledge that
– I will not permit myself to receive help with this assessment,
– I will not help anyone else with this assessment,
– I will not disclose the questions or answers in any way to any person or organization at
any time, and
– I will not discuss the questions or answers with any person or organization other than
my course instructor/TA in a private setting.
I understand that if I break this pledge at any time, the grade that I earn on this assessment will
be reduced to zero and my overall numerical course grade will be calculated, or re-calculated,
accordingly, and my course letter grade will be demoted if necessary.
Student Signature: ________________________________
Date: ________________
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Questions:
1) Write out in full form: 19.16E-8 (2 points).
2) The expression below is of the form 𝑎𝑋 + 𝑏𝑌. Identify “a” and “b” (4 points).
−0.59𝑌 − 7.43𝑋
3) Find the midpoint and the half distance between -144 and 356 (4 points).
4) A straight line has a slope of −8. This means that if: (2 points)
a) Y increases by 1 then X will increase by 8 units.
b) Y increases by 1 then X will decrease by 8 units.
c) X increases by 1 then Y will increase by 8 units.
d) X increases by 1 then Y will decrease by 8 units.
5) If 5% of the passengers on a cruise ship requested vegetarian meals, and the
kitchen needs to prepare 264 vegetarian meals for passengers every mealtime,
how many passengers are on the ship?
Assume that each passenger gets exactly one meal every mealtime, and the
kitchen does not prepare extra meals. Round your answer to a whole number (5
points).
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6) Let’s suppose that the average systolic blood pressure (SBP) of women is 110
mmHg with a standard deviation of 12 mmHg. We want to know if the
distribution of SBPs of female professors is significantly different from the
distribution of SBPs of women in general, so we randomly select 64 female
professors and record their SBPs. We find that their average SBP is 122 mmHg
with standard deviation 7 mmHg.
Using the scenario above, match each number with its symbol in the first column
and then indicate whether each number belongs to the sample or population in
the second column (10 points).
Symbol
Number from Scenario
Belongs to the
μ
Sample or Population
n
Sample or Population
s
Sample or Population
σ
Sample or Population
𝑥̅
Sample or Population
7) Classify each of the following variables as categorical or quantitative (a C or Q
next to each one will suffice). If a variable can be used quantitatively at all, label it
as quantitative (5 points).
(i)
A child’s height on their birthday each year.
(ii)
The types of vehicles that drive past FSU on Tennessee Street in one
week.
(iii)
The square footage of the classrooms on campus.
(iv)
The number of times that different college football teams have won a
National Championship.
(v)
The majors chosen by freshman students at the end of their first year.
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8) Farmer Bill separates his farm into 12 regions. He randomly selected 6 trees from
each region to estimate the number of oranges produced on his orange tree farm.
What type of sampling is this? (2 points)
9) Amanda is trying to put a sample together for her study. Her colleague, Dean,
suggests that Amanda use probability sampling to create a sample. Amanda
agrees and decides to use a simple random sample. Which of the following
methods could Amanda use to ensure that she is creating a simple random
sample? (2 points)
a.
b.
c.
d.
Flipping a coin
Choosing every 300th name in a phone book
Choosing people from different segments of society
Looking at subjects’ profiles and choosing the best participants
10) An elementary school librarian wants to determine how many students use the
library on a regular basis (12 points).
(i)
If she wanted to use convenience sampling, what could she do?
(ii)
If she wanted to use simple random sampling, what could she do?
(iii)
If she wanted to use systematic sampling, what could she do?
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11) Let’s say the figure below represents the beverages sold at a local coffee shop in
a week. The shaded portion of the figure represents all of the cold drinks sold in
the past week. What percent of the beverages sold were not cold drinks? (5
points)
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12) Find the value of σ given the following information: (5 points)
𝑧=
𝑥̅ − 𝜇
𝜎 / √𝑛
z = 0.95
µ = 113
𝑥̅ = 136
n=5
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13) Use the image below to answer the two questions that follow:
(i)
Fill in the blanks with letters from the picture to show where each of the
following points are located (3 points).
Origin: __________
(ii)
X-intercept: __________
Y-intercept: __________
Circle the words that make true statements (3 points).
(a) The x-coordinate at A is / is not zero.
The y-coordinate at A is / is not zero.
(b) The x-coordinate at B is / is not zero.
The y-coordinate at B is / is not zero.
(c) The x-coordinate at C is / is not zero.
The y-coordinate at C is / is not zero.
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