Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 6, Problem 7UTA
To determine
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 6 Solutions
Understanding Basic Statistics
Ch. 6.1 - Statistical Literacy Which of the following are...Ch. 6.1 - Statistical Literacy Which of the following are...Ch. 6.1 - Statistical Literacy Consider each distribution....Ch. 6.1 - Statistical Literacy At State College all classes...Ch. 6.1 - Statistical Literacy Consider two discrete...Ch. 6.1 - Statistical Literacy Consider the probability...Ch. 6.1 - Basic Computation: Expected Value and Standard...Ch. 6.1 - Basic Computation: Expected Value For a...Ch. 6.1 - Critical Thinking: Simulation We can use the...Ch. 6.1 - Marketing: Age What is the age distribution of...
Ch. 6.1 - Marketing: Income What is the income distribution...Ch. 6.1 - History: Florence Nightingale What was the age...Ch. 6.1 - Fishing: Trout The following data are based on...Ch. 6.1 - Criminal Justice: Parole USA Today reported that...Ch. 6.1 - Fundraiser: Hiking Club The college hiking club is...Ch. 6.1 - Spring Break: Caribbean Cruise The college student...Ch. 6.1 - Expected Value: Life Insurance Jim is a...Ch. 6.1 - Expected Value: Life Insurance Sara is a...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.2 - Statistical Literacy What does the random variable...Ch. 6.2 - Statistical Literacy What does it mean to say that...Ch. 6.2 - Statistical Literacy For a binomial experiment,...Ch. 6.2 - Statistical Literacy In a binomial experiment, is...Ch. 6.2 - Interpretation Suppose you are a hospital manager...Ch. 6.2 - Interpretation From long experience a landlord...Ch. 6.2 - Critical Thinking In an experiment, there are n...Ch. 6.2 - Critical Thinking In a carnival game, there are...Ch. 6.2 - Critical Thinking According to the college...Ch. 6.2 - Critical Thinking: Simulation Central Eye Clinic...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - Psychology: Deceit Aldrich Ames is a convicted...Ch. 6.2 - Hardware Store: Income Trevor is interested in...Ch. 6.2 - Psychology: Myers-Briggs Approximately 75% of all...Ch. 6.2 - Business Ethics: Privacy Are your finances, buying...Ch. 6.2 - Business Ethics: Privacy According to the same...Ch. 6.2 - Health Care: Office Visits What is the age...Ch. 6.2 - Binomial Distribution Table: Symmetry Study the...Ch. 6.3 - Statistical Literacy What does the expected value...Ch. 6.3 - Statistical Literacy Consider two binomial...Ch. 6.3 - Basic Computation: Expected Value and Standard...Ch. 6.3 - Basic Computation: Expected Value and Standard...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Criticai Thinking Consider a binomial distribution...Ch. 6.3 - Binomial Distribution: Histograms Consider a...Ch. 6.3 - Binomial Distributions: Histograms Figure 6-6...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Sports: Surfing In Hawaii, January is a favorite...Ch. 6.3 - Quality Control: Syringes The quality-control...Ch. 6.3 - Private Investigation: Locating People Old Friends...Ch. 6.3 - Ecology: Hawaiian Tsunamis A tidal wave or tsunami...Ch. 6.3 - Education: Illiteracy USA Today reported that...Ch. 6.3 - Rude Drivers: Tailgating Do you tailgate the car...Ch. 6.3 - Criminal Justice: ParoleUSA Today reports that...Ch. 6.3 - Criminal Justice: Jury Duty Have you ever tried to...Ch. 6.3 - Law Enforcement: Property Crime Does crime pay ?...Ch. 6.3 - Focus Problem: Personality Types We now have the...Ch. 6.3 - Criminal Justice: Convictions Innocent until...Ch. 6.3 - Critical Thinking Let r be a binomial random...Ch. 6.3 - Expand Your Knowledge: Geometric Probability...Ch. 6.3 - Expand Your Knowledge: Geometric Distribution;...Ch. 6.3 - Expand Your Knowledge: Geometric Distribution;...Ch. 6 - Terminology Consider the data set consisting of...Ch. 6 - Terminology Consider the data set consisting of...Ch. 6 - Terminology Which quantity is give by the expected...Ch. 6 - Terminology Consider the following statements...Ch. 6 - Statistical Literacy What are the requirements for...Ch. 6 - Statistical Literacy List the criteria for a...Ch. 6 - Critical Thinking For a binomial probability...Ch. 6 - Critical Thinking Consider a binomial experiment....Ch. 6 - Probability Distribution: Auto Leases Consumer...Ch. 6 - Ecology: Predator and Prey Isle Royale. an island...Ch. 6 - Insurance: Auto State Farm Insurance studies show...Ch. 6 - Quality Control: Pens A stationery store has...Ch. 6 - Criminal Justice: Inmates According to Harper's...Ch. 6 - Airlines: On-Time ArrivalsConsumer Reports rated...Ch. 6 - Ecology: Shark Attacks In Hawaii shark attacks are...Ch. 6 - Restaurants: Reservations The Orchard Caf has...Ch. 6 - College Lire: Student Government The student...Ch. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 2UTACh. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 4UTACh. 6 - Although tables of binomial probabilities can be...Ch. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 7UTACh. 6 - The Hill of Tara is located in south-central...Ch. 6 - Prob. 2CRPCh. 6 - Prob. 3CRPCh. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...
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