Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7.2, Problem 1P
Statistical Literacy What does a standard score measure?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012).
Brand & Model
Price ($)
Overall Score
Samsung Ultrabook NP900X3C-A01US
1250
83
Apple MacBook Air MC965LL/A
1300
83
Apple MacBook Air MD231LL/A
1200
82
HP ENVY 13-2050nr Spectre XT
950
79
Sony VAIO SVS13112FXB
800
77
Acer Aspire S5-391-9880 Ultrabook
1200
74
Apple MacBook Pro MD101LL/A
1200
74
Apple MacBook Pro MD313LL/A
1000
73
Dell Inspiron I13Z-6591SLV
700
67
Samsung NP535U3C-A01US
600
63
a. Select a scatter diagram with price as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income ($1000s)
Reasonable Amount ofItemized Deductions ($1000s)
22
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
17.7
120
25.5
Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x
Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…
K
The mean height of women in a country (ages 20-29) is 63.7 inches. A random sample of 65 women in this age group
is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.68.
The probability that the mean height for the sample is greater than 64 inches is
(Round to four decimal places as needed.)
Chapter 7 Solutions
Understanding Basic Statistics
Ch. 7.1 - Statistical Literacy Which, if any, of the curves...Ch. 7.1 - Statistical Literacy Look at the normal curve in...Ch. 7.1 - Critical Thinking Look at the two normal curves in...Ch. 7.1 - Critical Thinking Sketch a normal curve (a) with...Ch. 7.1 - Basic Computation: Empirical Rule What percentage...Ch. 7.1 - Basic Computation: Empirical Rule What percentage...Ch. 7.1 - Distribution: Heights of Coeds Assuming that the...Ch. 7.1 - Distribution: Rhode Island Red Chicks The...Ch. 7.1 - Archaeology: Tree Rings At Burnt Mesa Pueblo,...Ch. 7.1 - Vending Machine: Soft Drinks A vending machine...
Ch. 7.1 - Pain Management: Laser Therapy Effect of...Ch. 7.1 - Expand Your knowledge: Continuous Uniform...Ch. 7.1 - Unifrom Distribution: Measurement Errors...Ch. 7.2 - Statistical Literacy What does a standard score...Ch. 7.2 - Statistical Literacy Does a raw score less than...Ch. 7.2 - Statistical Literacy What is the value of the...Ch. 7.2 - Statistical Literacy What are the values of the...Ch. 7.2 - Basic Computation: z Score and Raw Score A normal...Ch. 7.2 - Basic Computation: z Score and Raw Score A normal...Ch. 7.2 - Critical Thinking Consider the following scores:...Ch. 7.2 - Critical Thinking Raul received a score of 80 on a...Ch. 7.2 - z Scores: First Aid Course The college physical...Ch. 7.2 - z Scores: Fawns Fawns between 1 and 5 months old...Ch. 7.2 - z Scores: Red Blood Cell Count Let x = red blood...Ch. 7.2 - Normal Curve: Tree Rings Tree-ring dates were used...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Prob. 22PCh. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Areas Under the...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.2 - Basic Computation: Finding Probabilities In...Ch. 7.3 - Statistical Literacy Consider a normal...Ch. 7.3 - Statistical Literacy Suppose 5% of the area under...Ch. 7.3 - Statistical Literacy Suppose 5% of the area under...Ch. 7.3 - Critical Thinking: Normality Consider the...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find Probabilities In Problems...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Basic Computation: Find zValues In Problems 15-24,...Ch. 7.3 - Medical: Blood Glucose A person's blood glucose...Ch. 7.3 - Medical: Blood Protoplasm Porphyrin is a pigment...Ch. 7.3 - 27 Archaeology: Hopi Village Thickness...Ch. 7.3 - Law Enforcement: Police Response Time Police...Ch. 7.3 - Guarantee: Batteries Quick Start Company makes...Ch. 7.3 - Guarantee: Watches Accrotime is a manufacturer of...Ch. 7.3 - Expand Your Knowledge: Estimating the Standard...Ch. 7.3 - Estimating the Standard Deviation: Refrigerator...Ch. 7.3 - Estimating the Standard Deviation: Veterinary...Ch. 7.3 - Estimating the Standard Deviation: Veterinary...Ch. 7.3 - Insurance: Satellites A relay microchip in a...Ch. 7.4 - Statistical Literacy What is a population? Give...Ch. 7.4 - Statistical Literac y What is a random sample from...Ch. 7.4 - Statistical Literacy What is a population...Ch. 7.4 - Statistical Literacy What is a sample statistic?...Ch. 7.4 - Statistical Literacy What is the meaning of the...Ch. 7.4 - Statistical Literacy What is a sampling...Ch. 7.4 - Critical Thinking How do frequency tables,...Ch. 7.4 - Critical Thinking How can relative frequencies be...Ch. 7.4 - Critical Thinking Give an example of a specific...Ch. 7.5 - Statistical Literacy What is the standard error of...Ch. 7.5 - Statistical Literacy What is the standard...Ch. 7.5 - Statistical Literacy List two unbiased estimators...Ch. 7.5 - Statistical Literacy Describe how the variability...Ch. 7.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 7.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 7.5 - Prob. 7PCh. 7.5 - Critical Thinking Suppose x has a distribution...Ch. 7.5 - Critical Thinking Consider two x distributions...Ch. 7.5 - Critical Thinking Consider an x distribution with...Ch. 7.5 - Critical Thinking Suppose x has a distribution...Ch. 7.5 - Critical Thinking Suppose an x distribution has...Ch. 7.5 - Coal: Automatic Loader Coal is carried from a mine...Ch. 7.5 - Vital Statistics: Heights of Men The heights of...Ch. 7.5 - Medical: Blood Glucose Let x be a random variable...Ch. 7.5 - Medical: White Blood Cells Let x be a random...Ch. 7.5 - Wildlife: Deer Let x be a random variable that...Ch. 7.5 - Focus Problem: Impulse Buying Let x represent the...Ch. 7.5 - Finance: Templeton Funds Templeton world is a...Ch. 7.5 - Finance: European Growth Fund A European growth...Ch. 7.6 - Statistical Literacy Binomial probability...Ch. 7.6 - Statistical Literacy When we use a normal...Ch. 7.6 - Basic Computation: Normal Approximation to a...Ch. 7.6 - Basic Computation: Normal Approximation to a...Ch. 7.6 - Critical Thinking You need to compute the...Ch. 7.6 - Critical Thinking Consider a binomial experiment...Ch. 7.6 - In the following problems, check that it is...Ch. 7.6 - Insurance: Claims Do you try to pad an insurance...Ch. 7.6 - Longevity: 90th Birthday It is estimated that 3.5%...Ch. 7.6 - Fishing: Billfish Ocean fishing for billfish is...Ch. 7.6 - Grocery Stores: New ProductsThe Denver Post slated...Ch. 7.6 - Crime: Murder What are the chances that a person...Ch. 7.6 - Supermarkets: Free Samples Do you take the free...Ch. 7.6 - Ice Cream: Flavors Whats your favorite ice cream...Ch. 7.6 - Airline Flights: No-Shows Based on long...Ch. 7.6 - 16. General: Approximations We have studied the...Ch. 7.6 - Statistical Literacy Under what conditions is it...Ch. 7.6 - Statistical Literacy What is the formula for the...Ch. 7.6 - Statistical Literacy Is p an unbiased estimator...Ch. 7.6 - Basic Computation: p Distribution Suppose we have...Ch. 7.6 - Basic Computation: p Distribution Suppose we have...Ch. 7 - Terminology Consider the graph of a normal...Ch. 7 - Terminology What are the values of the mean and...Ch. 7 - Terminology Answer the following statements...Ch. 7 - Terminology Consider all possible random samples...Ch. 7 - Statistical Literacy Describe a normal probability...Ch. 7 - Statistical Literacy According to the empirical...Ch. 7 - Statistical Literacy Random sample of size 9 is...Ch. 7 - Statistical Literacy Can a normal distribution...Ch. 7 - Statistical Literacy What characteristic of a...Ch. 7 - Statistical Liter acy For a normal distribution,...Ch. 7 - Statistical Literacy Give the formula for the...Ch. 7 - Statistical Literacy Give the formula for the...Ch. 7 - Critical Thinking Let x be a random variable...Ch. 7 - Critical Thinking If x has a normal distribution...Ch. 7 - Basic Computation: Probability Given that x is a...Ch. 7 - Basic Computation: Probability Given that x is a...Ch. 7 - Basic Computation: Inverse Normal Find z such that...Ch. 7 - Basic Computation: Inverse Normal Find z such that...Ch. 7 - Medical: Blood Type Blood type AB is found in only...Ch. 7 - Customer Complaints: Time The Customer Service...Ch. 7 - 21. Recycling: Aluminum Cans One environmental...Ch. 7 - 22. Guarantee: Battery Life Many people consider...Ch. 7 - Guarantee: Package Delivery Express Courier...Ch. 7 - Drugs: Effects A new muscle relaxant is available....Ch. 7 - Psychology: IQ Scores Assume that IQ scores are...Ch. 7 - Hatchery Fish: Length A large tank of fish from a...Ch. 7 - Basic Computation: p Distribution Suppose we have...Ch. 7 - Green Behavior: Purchasing Habits A recent Harris...Ch. 7 - Iris setosa is a beautiful wildflower that is...Ch. 7 - If you look up the word empirical in a dictionary,...Ch. 7 - Why are standard z values so important? Is it true...Ch. 7 - Most people would agree that increased information...Ch. 7 - In a way, the central limit theorem can be thought...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 68 inches. The probability that the study participant selected at random is less than 68 inches tall is 0.4. (Round to four decimal places as needed.) 20 2arrow_forwardPEER REPLY 1: Choose a classmate's Main Post and review their decision making process. 1. Choose a risk level for each of the states of nature (assign a probability value to each). 2. Explain why each risk level is chosen. 3. Which alternative do you believe would be the best based on the maximum EMV? 4. Do you feel determining the expected value with perfect information (EVWPI) is worthwhile in this situation? Why or why not?arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forward
- You are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…arrow_forwardThe population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)arrow_forward***Please do not just simply copy and paste the other solution for this problem posted on bartleby as that solution does not have all of the parts completed for this problem. Please answer this I will leave a like on the problem. The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_forward
- The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_forwardThe following relates to Problems 4 and 5. Christchurch, New Zealand experienced a major earthquake on February 22, 2011. It destroyed 100,000 homes. Data were collected on a sample of 300 damaged homes. These data are saved in the file called CIEG315 Homework 4 data.xlsx, which is available on Canvas under Files. A subset of the data is shown in the accompanying table. Two of the variables are qualitative in nature: Wall construction and roof construction. Two of the variables are quantitative: (1) Peak ground acceleration (PGA), a measure of the intensity of ground shaking that the home experienced in the earthquake (in units of acceleration of gravity, g); (2) Damage, which indicates the amount of damage experienced in the earthquake in New Zealand dollars; and (3) Building value, the pre-earthquake value of the home in New Zealand dollars. PGA (g) Damage (NZ$) Building Value (NZ$) Wall Construction Roof Construction Property ID 1 0.645 2 0.101 141,416 2,826 253,000 B 305,000 B T 3…arrow_forwardRose Par posted Apr 5, 2025 9:01 PM Subscribe To: Store Owner From: Rose Par, Manager Subject: Decision About Selling Custom Flower Bouquets Date: April 5, 2025 Our shop, which prides itself on selling handmade gifts and cultural items, has recently received inquiries from customers about the availability of fresh flower bouquets for special occasions. This has prompted me to consider whether we should introduce custom flower bouquets in our shop. We need to decide whether to start offering this new product. There are three options: provide a complete selection of custom bouquets for events like birthdays and anniversaries, start small with just a few ready-made flower arrangements, or do not add flowers. There are also three possible outcomes. First, we might see high demand, and the bouquets could sell quickly. Second, we might have medium demand, with a few sold each week. Third, there might be low demand, and the flowers may not sell well, possibly going to waste. These outcomes…arrow_forward
- Consider the state space model X₁ = §Xt−1 + Wt, Yt = AX+Vt, where Xt Є R4 and Y E R². Suppose we know the covariance matrices for Wt and Vt. How many unknown parameters are there in the model?arrow_forwardBusiness Discussarrow_forwardYou want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603) Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY