Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Question
Chapter 2.1, Problem 17E
To determine
The frequency distribution for the given data
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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 2 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 2.1 - Ages of Presidents at Inauguration The data...Ch. 2.1 - List five reasons for organizing data into a...Ch. 2.1 - Name the three types of frequency distributions,...Ch. 2.1 - How many classes should frequency distributions...Ch. 2.1 - What are open-ended frequency distributions? Why...Ch. 2.1 - Prob. 5ECh. 2.1 - For Exercises 58, find the class boundaries,...Ch. 2.1 - Prob. 7ECh. 2.1 - For Exercises 58, find the class boundaries,...Ch. 2.1 - Prob. 9E
Ch. 2.1 - For Exercises 912, show frequency distributions...Ch. 2.1 - Prob. 11ECh. 2.1 - For Exercises 912, show frequency distributions...Ch. 2.1 - Prob. 13ECh. 2.1 - Trust in Internet Information A survey was taken...Ch. 2.1 - Eating at Fast Food Restaurants A survey was taken...Ch. 2.1 - Ages of Dogs The ages of 20 dogs in a pet shelter...Ch. 2.1 - Prob. 17ECh. 2.1 - Stories in the Worlds Tallest Buildings The number...Ch. 2.1 - Ages of Declaration of Independence Signers The...Ch. 2.1 - Salaries of Governors Here are the salaries (in...Ch. 2.1 - Charity Donations A random sample of 30 large...Ch. 2.1 - Unclaimed Expired Prizes The number of unclaimed...Ch. 2.1 - Prob. 23ECh. 2.1 - Consumption of Natural Gas Construct a frequency...Ch. 2.1 - Average Wind Speeds A sample of 40 large cities...Ch. 2.1 - Percentage of People Who Completed 4 or More Years...Ch. 2.1 - JFK Assassination A researcher conducted a survey...Ch. 2.1 - The Value of Pi The ratio of the circumference of...Ch. 2.2 - Selling Real Estate Assume you are a realtor in...Ch. 2.2 - Do Students Need Summer Development? For 108...Ch. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Number of College Faculty The number of faculty...Ch. 2.2 - Railroad Crossing Accidents The data show the...Ch. 2.2 - NFL Salaries The salaries (in millions of dollars)...Ch. 2.2 - Prob. 7ECh. 2.2 - Costs of Utilities The frequency distribution...Ch. 2.2 - Air Pollution One of the air pollutants that is...Ch. 2.2 - Making the Grade The frequency distributions shown...Ch. 2.2 - Blood Glucose Levels The frequency distribution...Ch. 2.2 - Waiting Times The frequency distribution shows the...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Prob. 17ECh. 2.2 - Protein Grams in Fast Food The amount of protein...Ch. 2.2 - Using the histogram shown here, do the following....Ch. 2.2 - Using the results from Exercise 19. answer these...Ch. 2.2 - Math SAT Scores Shown is an ogive depicting the...Ch. 2.3 - Applying the Concepts 23 Causes of Accidental...Ch. 2.3 - Prob. 1ECh. 2.3 - Worldwide Sales of Fast Foods The worldwide sales...Ch. 2.3 - Prob. 3ECh. 2.3 - Roller Coaster Mania The World Roller Coaster...Ch. 2.3 - Prob. 5ECh. 2.3 - Violent Crimes The number of all violent crimes...Ch. 2.3 - Prob. 7ECh. 2.3 - Valentines Day Spending The data show the average...Ch. 2.3 - Prob. 9ECh. 2.3 - Reasons We Travel The following data are based on...Ch. 2.3 - Prob. 11ECh. 2.3 - Colors of Automobiles The popular car colors are...Ch. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Years of Experience The data show the number of...Ch. 2.3 - Commuting Times Fifty off-campus students were...Ch. 2.3 - Home Run Club There are 43 Major League baseball...Ch. 2.3 - Calories in Salad Dressings A listing of calories...Ch. 2.3 - Length of Major Rivers The data show the lengths...Ch. 2.3 - Math and Reading Achievement Scores The math and...Ch. 2.3 - State which type of graph (Pareto chart, time...Ch. 2.3 - State which graph (Pareto chart, time series...Ch. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Cost of Milk The graph shows the increase in the...Ch. 2.3 - U.S. Population by Age The following information...Ch. 2.3 - Prob. 27ECh. 2.3 - Trip Reimbursements The average amount requested...Ch. 2 - How People Get Their News The Brunswick Research...Ch. 2 - Mens World Hockey Champions The United States won...Ch. 2 - BUN Count The blood urea nitrogen (BUN) count of...Ch. 2 - Wind Speed The data show the average wind speed...Ch. 2 - Prob. 2.1.5RECh. 2 - Ages of the Vice Presidents at the Time of Their...Ch. 2 - Prob. 2.2.7RECh. 2 - Find the relative frequency for the frequency...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Prob. 2.3.13RECh. 2 - Calories of Nuts The data show the number of...Ch. 2 - Prob. 2.3.15RECh. 2 - AID: 1825 | 31/5/2018 16. Pet Care The data (in...Ch. 2 - Prob. 2.3.17RECh. 2 - Prob. 2.3.18RECh. 2 - Prob. 2.3.19RECh. 2 - Prob. 2.3.20RECh. 2 - Prob. 2.3.21RECh. 2 - Prob. 2.3.22RECh. 2 - Prob. 2.3.23RECh. 2 - Public Libraries The numbers of public libraries...Ch. 2 - Pain Relief The graph below shows the time it...Ch. 2 - Casino Payoffs The graph shows the payoffs...Ch. 2 - From the Data Bank located in Appendix B, choose...Ch. 2 - Prob. 2DACh. 2 - From the Data Bank, select at least 30 subjects...Ch. 2 - Prob. 4DACh. 2 - Using the data from Data Set XI in Appendix B,...Ch. 2 - Prob. 7DACh. 2 - Determine whether each statement is true or false....Ch. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Frequency distributions can aid the researcher in...Ch. 2 - Determine whether each statement is true or false....Ch. 2 - Prob. 6CQCh. 2 - Determine whether each statement is true or false....Ch. 2 - Prob. 8CQCh. 2 - What are the boundaries for 8.68.8? a. 89 b....Ch. 2 - What graph should be used to show the relationship...Ch. 2 - Prob. 11CQCh. 2 - The three types of frequency distributions are...Ch. 2 - In a frequency distribution, the number of classes...Ch. 2 - Prob. 14CQCh. 2 - Data collected over a period of time can be...Ch. 2 - A statistical device used in exploratory data...Ch. 2 - On a Pareto chart, the frequencies should be...Ch. 2 - Housing Arrangements A questionnaire on housing...Ch. 2 - Housing Arrangements A questionnaire on housing...Ch. 2 - Prob. 20CQCh. 2 - Construct a histogram, a frequency polygon, and an...Ch. 2 - Coal Consumption The following data represent the...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Recycled Trash Construct a Pareto chart and a...Ch. 2 - Identity Thefts The results of a survey of 84...Ch. 2 - Needless Deaths of Children The New England...Ch. 2 - Prob. 27CQCh. 2 - Parking Meter Revenue In a small city the number...Ch. 2 - Prob. 29CQCh. 2 - The Great Lakes Shown are various statistics about...Ch. 2 - Teacher Strikes In Pennsylvania there were more...
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