Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 2.2, Problem 8AYU
To determine
To identify: The statement “The shape of the distribution is best classified as uniform” is correct or not.
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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…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…
Chapter 2 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 2.1 - Define raw data in your own words.Ch. 2.1 - A frequency distribution lists the _____ of...Ch. 2.1 - In a relative frequency distribution, what should...Ch. 2.1 - What is a bar graph? What is a Pareto chart?Ch. 2.1 - Flu Season The pie chart shown, the type we see in...Ch. 2.1 - Cosmetic Surgery This USA Today type chart shows...Ch. 2.1 - Most Valuable Player The following Pareto chart...Ch. 2.1 - Poverty The U.S. Census Bureau uses money income...Ch. 2.1 - Divorce The following graph represents the results...Ch. 2.1 - Identity Theft Identity fraud occurs when someone...
Ch. 2.1 - Made in America A random sample of 2163 adults...Ch. 2.1 - Desirability Attributes A random sample of 2163...Ch. 2.1 - College Survey In a national survey conducted by...Ch. 2.1 - College Survey In a national survey conducted by...Ch. 2.1 - Use the Internet? The Gallup organization...Ch. 2.1 - Dining Out A sample of 521 adults was asked, How...Ch. 2.1 - NW Texting A survey of U.S. adults and teens (ages...Ch. 2.1 - Educational Attainment The educational attainment...Ch. 2.1 - Dream Job A survey of adult men and women asked,...Ch. 2.1 - Car Color A survey of 100 randomly selected autos...Ch. 2.1 - Prob. 21AYUCh. 2.1 - Bachelor Party In a survey conducted by Opinion...Ch. 2.1 - Favorite Day to Eat Out A survey was conducted by...Ch. 2.1 - Prob. 25AYUCh. 2.1 - Prob. 26AYUCh. 2.1 - Prob. 27AYUCh. 2.1 - StatCrunch Survey Choose a qualitative variable...Ch. 2.1 - Putting It Together: Online Homework Keeping...Ch. 2.1 - When should relative frequencies be used when...Ch. 2.1 - Prob. 31AYUCh. 2.1 - Prob. 32AYUCh. 2.1 - Prob. 33AYUCh. 2.2 - The categories by which data are grouped are...Ch. 2.2 - The _____ class limit is the smallest value within...Ch. 2.2 - The _____ is the difference between consecutive...Ch. 2.2 - Prob. 4AYUCh. 2.2 - Prob. 5AYUCh. 2.2 - Prob. 6AYUCh. 2.2 - True or False: The shape of the distribution shown...Ch. 2.2 - Prob. 8AYUCh. 2.2 - Rolling the Dice An experiment was conducted in...Ch. 2.2 - Car Sales A car salesman records the number of...Ch. 2.2 - IQ Scores The following frequency histogram...Ch. 2.2 - Alcohol-Related Traffic Fatalities The frequency...Ch. 2.2 - In Problems 13 and 14, for each variable...Ch. 2.2 - In Problems 13 and 14, for each variable...Ch. 2.2 - Misery Index The following time-series plot shows...Ch. 2.2 - Prob. 16AYUCh. 2.2 - Predicting School Enrollment To predict future...Ch. 2.2 - Free Throws In an experiment, a researcher asks a...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - find (a) the number of classes, (b) the class...Ch. 2.2 - Earthquakes The following data represent the...Ch. 2.2 - In Problems 25 and 26, construct (a) a relative...Ch. 2.2 - In Problems 25 and 26, construct (a) a relative...Ch. 2.2 - NW Televisions in the Household A researcher with...Ch. 2.2 - Waiting The data below represent the number of...Ch. 2.2 - NW Gini Index The Gini Index is a measure of how...Ch. 2.2 - Average Income The following data represent the...Ch. 2.2 - Cigarette Tex Rates The table shows the tax, in...Ch. 2.2 - Dividend Yield A dividend is a payment from a...Ch. 2.2 - NW Violent Crimes Violent crimes include murder,...Ch. 2.2 - Volume of Altria Group Stock The volume of a stock...Ch. 2.2 - Prob. 35AYUCh. 2.2 - Prob. 36AYUCh. 2.2 - Prob. 37AYUCh. 2.2 - Prob. 38AYUCh. 2.2 - Prob. 39AYUCh. 2.2 - Prob. 40AYUCh. 2.2 - NW Violent Crimes Use the violent crime rate data...Ch. 2.2 - Academy Award Winners The following data represent...Ch. 2.2 - Prob. 43AYUCh. 2.2 - Sullivan Survey Choose a continuous quantitative...Ch. 2.2 - Prob. 46AYUCh. 2.2 - Prob. 47AYUCh. 2.2 - Waiting Draw a dot plot of the waiting data from...Ch. 2.2 - Prob. 49AYUCh. 2.2 - Prob. 50AYUCh. 2.2 - Prob. 51AYUCh. 2.2 - Prob. 52AYUCh. 2.2 - Prob. 53AYUCh. 2.2 - Putting It Together: Which Graphical Summary?...Ch. 2.2 - Prob. 55AYUCh. 2.2 - Prob. 56AYUCh. 2.2 - Discuss the advantages and disadvantages of...Ch. 2.2 - Prob. 58AYUCh. 2.2 - Describe the situations in which it is preferable...Ch. 2.2 - Sketch four histogramsone skewed right, one skewed...Ch. 2.2 - What type of variable is required when drawing...Ch. 2.3 - Inauguration Cost The following is a USA...Ch. 2.3 - Burning Calories The following is a USA Today-type...Ch. 2.3 - NW Median Earnings The graph shows the median...Ch. 2.3 - Union Membership The following relative frequency...Ch. 2.3 - NW Robberies A newspaper article claimed that the...Ch. 2.3 - Car Accidents An article in a student newspaper...Ch. 2.3 - Tax Revenue The following histogram drawn in...Ch. 2.3 - You Explain It! Oil Reserves The U.S. Strategic...Ch. 2.3 - NW Cost of Kids The following is a USA Today-type...Ch. 2.3 - Worker Injury The safety manager at Klutz...Ch. 2.3 - Health Care Expenditures The following data...Ch. 2.3 - Prob. 12AYUCh. 2.3 - NW Overweight Between 1980 and 2012, the number of...Ch. 2.3 - Ideal Family Size The following USA Today-type...Ch. 2.3 - National League Baseball MVP The following pie...Ch. 2.3 - Prob. 16AYUCh. 2 - Effective Commercial Harris Interactive conducted...Ch. 2 - Weapons Used in Homicide The following frequency...Ch. 2 - Live Births The following frequency distribution...Ch. 2 - Political Affiliation One hundred randomly...Ch. 2 - Family Size A random sample of 60 couples married...Ch. 2 - Home Ownership Rates The table shows the home...Ch. 2 - Diameter of a Cookie The following data represent...Ch. 2 - Time Online The following data represent the...Ch. 2 - Grade Inflation The side-by-side bar graph to the...Ch. 2 - Income Distribution The following data represent...Ch. 2 - Misleading Graphs In 2013, the average earnings of...Ch. 2 - High Heels The graphic to the right is a USA Today...Ch. 2 - The graph shows the ratings on Yelp for Hot Dougs...Ch. 2 - A random sample of 1005 adult Americans was asked,...Ch. 2 - Interested in knowing the educational background...Ch. 2 - The following data represent the number of cars...Ch. 2 - Dr. Paul Oswiecmiski randomly selects 40 of his...Ch. 2 - The following data represent the time (in minutes)...Ch. 2 - The data below shows birth rate and per capita...Ch. 2 - The following is a USA Today-type graph. Do you...Ch. 2 - A bar graph or pie chart (or both) that depicts...Ch. 2 - A histogram that displays the distribution of...Ch. 2 - Six histograms displaying tornado duration for...Ch. 2 - A bar chart that shows the relationship between...Ch. 2 - A bar chart that shows the relationship between...Ch. 2 - A general summary of your findings and...
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