Download Round 1 In a Standard Normal Distribution, find the value of each of

Round 1
In a Standard Normal Distribution, find the value of each of the following.
A = The interval of the middle 99.7% of the data written as (a,b) where a and b are whole numbers.
B = The value of the 60th percentile rounded to the nearest hundredth.
C = P(2.4  x  1.2) rounded to the nearest hundredth.
D = The IQR of the data rounded to the nearest hundredth.
Round 2
A fair die is rolled. Find the probability of each as a simplified fraction:
A = Rolling two even numbers in a row.
B = Rolling two prime numbers in a row.
C = Rolling a prime number or an even number.
D = Rolling snake eyes (double ones).
Round 3
For each scenario of sample design, determine whether it most closely matches Simple Random Sampling (SRS),
Stratified Random Sampling (Stratified), Cluster Sampling (Cluster), Voluntary Response Sampling (Voluntary),
Systematic Sampling (Systematic), or Multi-Stage Sampling (Multi-Stage). The only acceptable shortened versions
of the answers are in parentheses.
A = At VBHS, the administration would like to sample the teachers to decide if the lunch options are satisfactory.
They prepare a list of teachers by their employee ID # and randomly select 50 teachers from the population of 200
teachers using a Random Digits Table.
B = At VBHS, the teachers would like to know which club is the most popular. The faculty randomly selects 50
teachers, from which they randomly select a class period, from which they randomly select 5 students to survey.
C = The Vero Beach High School Performing Arts Department wants to know how many students are planning on
attending the Spring Concert. They separate the students into four groups: athletes, band members, math team, and
culinary arts. They then sample 5 randomly chosen students within each group.
D = Mrs. Hillard would like to know who every student’s favorite teacher is. She stands at her door and asks every 5th
student who walks by.
Round 4
Find the value for each:
A = The number of ways that 12 different books can be arranged on a shelf.
B = The number of ways that Mrs. Hillard can arrange three Statistics books, 4 Calculus books, and 5 Geometry
books on a shelf if the books of the same subject must be together.
C = The number of ways that Mrs. Emerson can arrange her trophies if she has four 1st Place trophies, three 2nd Place
trophies, and five 3rd place trophies if they must go in descending order.
D = The number of distinct permutations of the word: ARRANGE.
Round 5
Using the following data, determine each of the following: (10,25),(32,18),(19,14),(24,31), and (9,4)
A = The direction of the data when graphed on a scatterplot can best be described as: Positive, Negative, Zero
B = The residual for x = 32 rounded to the nearest hundredth
C = The strength of the linear association of the data given as a value for r rounded to the nearest hundredth
D = The equation of the Least-Squares Regression Line with all values rounded to the nearest tenth
Round 6
Given the table of values for Teachers at Vero Beach High School and their voter registration identification:.
Democrat
Republican
Independent
Not Registered
Women
84
112
36
2
Men
151
67
25
7
A = The relative frequency of women teachers to the nearest percent written as XX%
B = The conditional distribution of Independents given that the teachers are men written as XX%
C = The marginal distribution of Gender
D = The percent of Men who are Republicans written as XX% (to the nearest percent)
Round 7
It is known that 15% of students at Vero Beach High School wear glasses.
A = Find the probability that three randomly selected students are wearing glasses. Round to the nearest tenthousandth.
B = Find the probability that at most 1 student is wearing glasses out of a randomly selected group of 2 students.
Round to the nearest ten-thousandth.
C = Find the probability that the first randomly selected person to be wearing glasses will be the fourth person
selected. Round to the nearest ten-thousandth.
D = Find the probability that three randomly selected students are not wearing glasses. Round to the nearest tenthousandth.
Round 8
Assume that a student’s final statistics grade for the semester is based on a combination of a final exam score, a
project score, and a homework score, each weighted according to the table below.
Type
Weight (Percent)
Exam
40
Project
35
Homework
25
A = Calculate the final grade of a student with an exam score of 94, project score of 89, and a homework score of 83.
B = Calculate the score a student would have to earn on their project to receive a final grade of at least a 90% if
they earned an exam score of 85 and a Homework Score of 100. Assume no partial scores.
C = Calculate the highest grade a student can do if they never do their homework.
D = The Statistics teacher takes off 10 points from the Project Score (graded out of 100) for every day it is late. What
is the percent change in the student’s grade for each day the project is late?
Round 9
For each scenario, decide whether the sampling method is most like a “Two-Sample” method or a “Matched Pairs” method.
A = AT&T would like to compare the service quality on two different makes of cell phones that their stores carry:
Apple and Samsung. To gather information about the quality, AT&T gave 20 of their customers a randomly chosen
phone: either an Apple or a Samsung. The customers used the phones for 30 days and then traded them in for the
other brand. Customers then used the second phone for 30 days and recorded all results.
B = Ben&Jerry’s Ice Cream would like to sample their customers to see how customers react to 2 different shaped
cones. Cone A is given to 20 customers and Cone B is given to 20 different customers. All of the customers were
from the Vero Beach location. Both groups included a variety of ages and ethnic backgrounds.
C = Babies-R-Us wants to sample its customers (parents) to see which gentle detergent brand for babies they prefer.
Babies-R-Us sends samples of Dreft detergent to 100 of their loyal customers to be used for one week. Babies-R-Us
then sends samples of Dapple detergent to 100 of their loyal customers to be used for one week. The satisfaction
ratings of the two detergents are compared.
D = Planet Fitness wants to see if Vitamin Water helps its athletes run faster. Planet Fitness selects two runners who
are approximately the same age, fitness level, and speed to compare. One runner gets Vitamin Water, one runner
gets tap water (placebo). After using 10 pairs of runners, Planet Fitness gathers the data for review.
Round 10
If the two events are mutually exclusive, write an “M”. If the two events are independent, write an “I”. If they are both,
write “Both”. If they are neither, write “Neither”.
A = {Tails, Heads} and {1,2,3,4,5,6}
B = {Even Integers} and {Odd Integers}
C = {Voters who voted for Barack Obama in 2008} and {Voters who voted for Barack Obama in 2012}
D = {Fibonacci Numbers} and {Natural Numbers}
Round 11
20 students are in Mrs. Hillard’s First Period Class. 12 of her students play Football. 5 of her students are in band. 2 of
her band students play Football. 6 of her students are on Masterminds team. 2 of her Masterminds students are also
in Band.
A = If 3 football players are on Masterminds, and no students are in all three of (football, band, and masterminds),
find the number of students who are in none of the clubs listed.
B = Ignoring any information from Part A, find the maximum number of students who are in none of the clubs listed.
C = Ignoring any information from Part A or B, find the percent of band students who are also football players.
D = Ignoring any information from Part A, B or C, find the probability of one of her students being on the football
team or in band.
Round 12
For all parts, refer to the following data, collected by a major airline that tracked the on-time status of 1000 flights
originating in Miami and San Diego.
120 flights were early
697 were just on time
555 flights originated in Miami
402 flights originated in Miami and were just on time
103 flights originated in San Diego and were late
A = Find the probability as a simplified fraction of a flight being late
B = Find the probability as a simplified fraction of a flight originating from Miami and being early
C = Find the probability as a simplified fraction of a flight being from San Diego given that it was on time
D = Find the probability as a simplified fraction of a flight being late given that it was from Miami
Round 13
A = Determine whether this data is right-skewed, left-skewed, or symmetric.
B = Determine the Median of the data to the nearest five (5,10,15,20…).
C = Determine the IQR of the data to the nearest five.
D = Determine the minimum value of this data to the nearest ten.