Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 1.5, Problem 25AYU
To determine
Whether the do-not-call registry affects the ability of surveyors to obtain accurate polling results and the way it affects such results.
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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 1 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 1.1 - Define statistics.Ch. 1.1 - Explain the difference between a population and a...Ch. 1.1 - A(n) _____ is a person or object that is a member...Ch. 1.1 - _____ statistics consists of organizing and...Ch. 1.1 - A(n) _____ is a numerical summary of a sample....Ch. 1.1 - are the characteristics of the individuals of the...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...
Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 45 and 46, identify the individuals,...Ch. 1.1 - In Problems 45 and 46, identify the individuals,...Ch. 1.1 - Smokers IQ A study was conducted in which 2011...Ch. 1.1 - A Cure for the Common Wart A study conducted by...Ch. 1.1 - NW Government Waste Gallup News Service conducted...Ch. 1.1 - Investment Decision The Gallup Organization...Ch. 1.1 - What Level of Measurement? It is extremely...Ch. 1.1 - Interpreting the Variable Suppose a fundraiser...Ch. 1.1 - Analyze the Article Read the newspaper article and...Ch. 1.1 - Contrast the differences between qualitative and...Ch. 1.1 - Discuss the differences between discrete and...Ch. 1.1 - In your own words, define the four levels of...Ch. 1.1 - Explain what is meant when we say data vary, How...Ch. 1.1 - Explain the process of statistics.Ch. 1.1 - The age of a person is commonly considered to be a...Ch. 1.2 - In your own words, define explanatory variable and...Ch. 1.2 - What is an observational study? What is a designed...Ch. 1.2 - Explain what is meant by confounding. What is a...Ch. 1.2 - Given a choice, would you conduct a study using an...Ch. 1.2 - What is a cross-sectional study? What is a...Ch. 1.2 - The data used in the influenza study presented in...Ch. 1.2 - Explain why it would be unlikely to use a designed...Ch. 1.2 - What does it mean when an observational study is...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - Happiness and Your Heart Is there an association...Ch. 1.2 - Daily Coffee Consumption Is there an association...Ch. 1.2 - NW Television in the Bedroom Is a television (TV)...Ch. 1.2 - Get Married, Gain Weight Are young couples who...Ch. 1.2 - Midwives Researchers Sally Tracy and associates...Ch. 1.2 - Web Page Design Magnum, LLC, is a web page design...Ch. 1.2 - Analyze the Article Write a summary of the...Ch. 1.2 - Putting It Together: Passive Smoke? The following...Ch. 1.3 - What is a frame?Ch. 1.3 - Define simple random sampling.Ch. 1.3 - What does it mean when sampling is done without...Ch. 1.3 - What is random sampling? Why is it used and how...Ch. 1.3 - Literature As part of a college literature course,...Ch. 1.3 - Team Captains A coach must select two players to...Ch. 1.3 - NW Course Selection A student entering a doctoral...Ch. 1.3 - Merit Badge Requirements To complete the...Ch. 1.3 - Sampling the Faculty A community college employs...Ch. 1.3 - Sampling the Students The same community college...Ch. 1.3 - NW Obtaining a Simple Random Sample The following...Ch. 1.3 - Obtaining a Simple Random Sample The following...Ch. 1.3 - Obtaining a Simple Random Sample The president of...Ch. 1.3 - Obtaining a Simple Random Sample The mayor of...Ch. 1.3 - Future Government Club The Future Government Club...Ch. 1.3 - Worker Morale The owner of a private food store is...Ch. 1.4 - Describe a circumstance in which stratified...Ch. 1.4 - Which sampling method does not require a frame?Ch. 1.4 - Why are convenience samples ill advised?Ch. 1.4 - A(n) _____ sample is obtained by dividing the...Ch. 1.4 - A(n) _____ sample is obtained by dividing the...Ch. 1.4 - True or False: When taking a systematic random...Ch. 1.4 - True or False: A simple random sample is always...Ch. 1.4 - True or False: When conducting a cluster sample,...Ch. 1.4 - True or False: Inferences based on voluntary...Ch. 1.4 - True or False: When obtaining a stratified sample,...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - Prob. 15AYUCh. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - Prob. 19AYUCh. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - A salesperson obtained a systematic sample of size...Ch. 1.4 - Prob. 24AYUCh. 1.4 - NW Stratified Sampling The Future Government Club...Ch. 1.4 - Stratified Sampling The owner of a private food...Ch. 1.4 - NW Systematic Sample The human resource department...Ch. 1.4 - Prob. 28AYUCh. 1.4 - Which Method? The mathematics department at a...Ch. 1.4 - Good Sampling Method? To obtain students opinions...Ch. 1.4 - Sample Design The city of Naperville is...Ch. 1.4 - Prob. 32AYUCh. 1.4 - Sample Design Target wants to open a new store in...Ch. 1.4 - Prob. 34AYUCh. 1.4 - Prob. 35AYUCh. 1.4 - Sample Design A marketing executive for Coca-Cola....Ch. 1.4 - Putting It Together: Comparing Sampling Methods...Ch. 1.4 - Putting It Together: Thinking about Randomness...Ch. 1.5 - What is a closed question? What is an open...Ch. 1.5 - Prob. 2AYUCh. 1.5 - What is bias? Name the three sources of bias and...Ch. 1.5 - What is closed question? What is an open question?...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Prob. 13AYUCh. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Prob. 15AYUCh. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Response Rates Surveys tend to suffer from low...Ch. 1.5 - Delivery Format The General Social Survey asked,...Ch. 1.5 - Prob. 19AYUCh. 1.5 - Order of the Questions Consider the following two...Ch. 1.5 - Improving Response Rates Suppose you are reading...Ch. 1.5 - Rotating Choices Consider this question from a...Ch. 1.5 - Random Digit Dialing Many polls use random digit...Ch. 1.5 - Caller ID How do you think caller ID has affected...Ch. 1.5 - Prob. 25AYUCh. 1.5 - Prob. 26AYUCh. 1.5 - Exit Polling During every election, pollsters...Ch. 1.5 - Prob. 29AYUCh. 1.5 - Name two biases that led to the Literary Digest...Ch. 1.5 - The Challenge in Polling One of the challenges in...Ch. 1.5 - Why is it rare for frames to be completely...Ch. 1.5 - Prob. 37AYUCh. 1.5 - Discuss the benefits of having trained...Ch. 1.5 - What are the advantages of having a presurvey when...Ch. 1.5 - Discuss the pros and cons of telephone interviews...Ch. 1.5 - Prob. 41AYUCh. 1.5 - Prob. 42AYUCh. 1.5 - Prob. 43AYUCh. 1.5 - Prob. 44AYUCh. 1.6 - Define the following: a. Experimental unit b....Ch. 1.6 - What is replication in an experiment?Ch. 1.6 - Explain the difference between a single-blind and...Ch. 1.6 - A(n) _____ _____ design is one in which each...Ch. 1.6 - Prob. 5AYUCh. 1.6 - Prob. 6AYUCh. 1.6 - NW Chew Your Food Researchers wanted to determine...Ch. 1.6 - Alcohol Dependence To determine if topiramate is a...Ch. 1.6 - NW School Psychology A school psychologist wants...Ch. 1.6 - Pharmacy A pharmaceutical company has developed an...Ch. 1.6 - NW Whiter Teeth An ad for Crest Whitestrips...Ch. 1.6 - Assessment To help assess student learning in her...Ch. 1.6 - Insomnia Researchers wanted to test the...Ch. 1.6 - Prob. 14AYUCh. 1.6 - The Memory Drug? Researchers wanted to evaluate...Ch. 1.6 - Shrinking Stomach? Researchers wanted to determine...Ch. 1.6 - Dominant Hand Professor Andy Neill wanted to...Ch. 1.6 - Golf Anyone? A local golf pro wanted to compare...Ch. 1.6 - Drug Effectiveness A pharmaceutical company wants...Ch. 1.6 - Prob. 20AYUCh. 1.6 - Green Tea You wonder whether green tea lowers...Ch. 1.6 - Priming for Healthy Food Does alerting shoppers at...Ch. 1.6 - Batteries An engineer wants to determine the...Ch. 1.6 - Tire Design An engineer has just developed a new...Ch. 1.6 - Designing an Experiment Researchers want to know...Ch. 1.6 - Research the placebo effect and the Hawthorne...Ch. 1.6 - Coke or Pepsi You want to perform an experiment...Ch. 1.6 - The Dictator Game In their book SuperFreakonomics,...Ch. 1.6 - Ebola In October 2014, there was an Ebola breakout...Ch. 1.6 - What is the role of randomization in a designed...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - List and describe the three major types of...Ch. 1 - What is meant by the process of statistics?Ch. 1 - List and explain the three sources of bias in...Ch. 1 - Distinguish between sampling and nonsampling...Ch. 1 - Explain the steps in designing an experiment.Ch. 1 - Number of new automobiles sold at a dealership on...Ch. 1 - Weight in carats of an uncut diamondCh. 1 - Brand name of a pair of running shoesCh. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - Read the following description of an observational...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - Each of the following surveys has bias. Determine...Ch. 1 - Obtaining a Simple Random Sample The mayor of a...Ch. 1 - Obtaining a Systematic Sample A quality-control...Ch. 1 - Obtaining a Simple Random Sample Based on the...Ch. 1 - Tooth-Whitening Gum Smoking and drinking coffee...Ch. 1 - Reaction Time Researchers wanted to assess the...Ch. 1 - Multiple Choice A common tip for taking...Ch. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 38RECh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 6 and 7, determine whether the study...Ch. 1 - In Problems 6 and 7, determine whether the study...Ch. 1 - Contrast the three major types of observational...Ch. 1 - Compare and contrast observational studies and...Ch. 1 - Prob. 10CTCh. 1 - List the steps required to conduct an experiment.Ch. 1 - Prob. 12CTCh. 1 - A congresswoman wants to survey her constituency...Ch. 1 - Prob. 14CTCh. 1 - A casino manager wants to inspect a sample of 14...Ch. 1 - Describe what is meant by an experiment that has a...Ch. 1 - Each of the following surveys has bias. Identify...Ch. 1 - Shapely Glasses Does the shape of a glass play a...Ch. 1 - Nucryst Pharmaceuticals, Inc., announced the...Ch. 1 - Researchers Katherine Tucker and associates wanted...Ch. 1 - Explain the difference between a lurking variable...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...
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