Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 7.3, Problem 27P
(a)
To determine
Show that
(b)
To determine
Explain why
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be infected with
the virus). A test used to detect the virus in a person is positive 87% of the time if the person has the virus
(true positive) and it is positive 14% of the time if the person does not have the virus (false positive). Fill in
the remainder of the following table and use it to answer the questions below.
Infected
Not Infected
Total
Positive Test
Negative Test
Total
400
99,600
100,000
A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be infected with
the virus). A test used to detect the virus in a person is positive 87% of the time if the person has the virus
(true positive) and it is positive 14% of the time if the person does not have the virus (false positive). Fill in
the remainder of the following table and use it to answer the questions below.
Infected
Not Infected
Total
Positive Test
Negative Test
Total
400
99,600
100,000
Round all percents to the nearest tenth of a percent as needed.
a) Examine the "Positive Test" row of the table. If a person tests positive for the virus, what is the
probability that the person is really infected.
(Note: in medical terminology, this probability measures the "positive predictive value" of the test)
b) If a person tests negative for the virus, what is the probability that the person really is not infected.
(This is called the "negative predictive value")
1. In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at
least 6 feet high. You pick 7 random days to go surfing in January. Let r be the number of
days that the surf reaches 6 feet high. Read the problem carefully and answer the following
questions:
(a) n = 7
(b) What is p (in decimal form) = ,le
%3D
(c) What is q (in decimal form) =
94
%3D
(d) Fill in the table by using the Binomial Distribution table
P(r)
.002
•017
.077
.194
.290
. 261
6.
.131
•028
(e) What is the probability of getting 5 or more days when the surf is at least 6 feet high?
261
0131
.028
0672 l67.27
(f) What is the probability of getting fewer than 3 days when the surf is at least 6 feet high?
077
cala a let-
이 2
• 01 7
9.167-
•002
(g) What is the expected number of days when the surf will be at least 6 feet? Calculate u
(h) What is the standard deviation?
(i) Use Microsoft excels to create a bar graph of the probability distribution. Use the tables
value in part (d) and the steps…
Chapter 7 Solutions
Understandable Statistics: Concepts and Methods
Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - In Problems 18, answer true or false. Explain your...Ch. 7.1 - Critical Thinking Sam computed a 95% confidence...Ch. 7.1 - Critical Thinking Sam computed a 90% confidence...
Ch. 7.1 - Basic Computation: Confidence Interval Suppose x...Ch. 7.1 - Basic Computation: Confidence Interval Suppose x...Ch. 7.1 - Basic Computation: Sample Size Suppose x has a...Ch. 7.1 - Basic Computation: Sample Size Suppose x has a...Ch. 7.1 - Zoology: Hummingbirds Allens hummingbird...Ch. 7.1 - Diagnostic Tests: Uric Acid Overproduction of uric...Ch. 7.1 - Diagnostic Tests: Plasma Volume Total plasma...Ch. 7.1 - Agriculture: Watermelon What price do farmers get...Ch. 7.1 - Prob. 19PCh. 7.1 - Confidence Intervals: Values of A random sample...Ch. 7.1 - Confidence Intervals: Sample Size A random sample...Ch. 7.1 - Ecology: Sand Dunes At wind speeds above 1000...Ch. 7.1 - Prob. 23PCh. 7.1 - Prob. 24PCh. 7.1 - Prob. 25PCh. 7.2 - Use Table 6 of Appendix II to find tc for a 0.95...Ch. 7.2 - Prob. 2PCh. 7.2 - Prob. 3PCh. 7.2 - Prob. 4PCh. 7.2 - Prob. 5PCh. 7.2 - Prob. 6PCh. 7.2 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 10PCh. 7.2 - Basic Computation: Confidence Interval Suppose x...Ch. 7.2 - Basic Computation: Confidence Interval A random...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - Prob. 18PCh. 7.2 - Prob. 19PCh. 7.2 - Prob. 20PCh. 7.2 - Prob. 21PCh. 7.2 - Prob. 22PCh. 7.2 - Prob. 23PCh. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 2PCh. 7.3 - Prob. 3PCh. 7.3 - Prob. 4PCh. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 15PCh. 7.3 - Prob. 16PCh. 7.3 - Prob. 17PCh. 7.3 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 23PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 27PCh. 7.3 - Prob. 28PCh. 7.4 - Prob. 1PCh. 7.4 - Prob. 2PCh. 7.4 - Prob. 3PCh. 7.4 - Prob. 4PCh. 7.4 - Prob. 5PCh. 7.4 - Prob. 6PCh. 7.4 - Prob. 7PCh. 7.4 - Prob. 8PCh. 7.4 - Prob. 9PCh. 7.4 - Prob. 10PCh. 7.4 - Prob. 11PCh. 7.4 - Prob. 12PCh. 7.4 - Prob. 13PCh. 7.4 - Prob. 14PCh. 7.4 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Answers may vary slightly due to rounding....Ch. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.4 - Prob. 24PCh. 7.4 - Prob. 25PCh. 7.4 - Prob. 26PCh. 7.4 - Prob. 27PCh. 7.4 - Prob. 28PCh. 7.4 - Prob. 29PCh. 7.4 - Prob. 30PCh. 7.4 - Prob. 31PCh. 7 - Prob. 1CRPCh. 7 - Critical Thinking Suppose you are told that a 95%...Ch. 7 - Prob. 3CRPCh. 7 - Prob. 4CRPCh. 7 - Prob. 5CRPCh. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 7CRPCh. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 9CRPCh. 7 - For Problems 419, categorize each problem...Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 13CRPCh. 7 - Prob. 14CRPCh. 7 - Prob. 15CRPCh. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 17CRPCh. 7 - Prob. 18CRPCh. 7 - Prob. 19CRPCh. 7 - Prob. 1DHCh. 7 - Prob. 2DHCh. 7 - Prob. 3DHCh. 7 - Prob. 1LCCh. 7 - Prob. 2LCCh. 7 - Prob. 3LCCh. 7 - Prob. 1UT
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
- Suppose that a students group on campus wants to estimate the average GPA of students at Mercy. They take a simple random sample of 900 students. The average GPA of these 900 students is 2.6. The SD of this sample was 0.6. Thus, the average GPA of all of the students at Mercy is estimated to be ______________ give or take____________ or so. Write your answer for the standard error in the format 0.AB where A and B are integers. The 95% confidence inteval for the average GPA of Mercy students is between ______________ and_______________ . Note the power behind the statistics of random sampling. Regardless of whether the Umass total population is 20,000 or 30,000, our sample of 900 students is enough to get an accurate GPA estimate of the entire population. In general, this estimate does not depend on the total population. This is why we can do accurate estimate of polling for even general presidential elections with very small sample sizes!arrow_forwardman loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What is the median number of hours studied? a. 2.3 b. 4.7 c. 4.5 d. 4.2 e. 5.5 f. 5 g. cannot be determinedarrow_forwardman loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 We know that 25% of all the grades falls into which of these regions? a. 78.5 to 79.0 b. 78.5 to 86.9 c. 75.8 to 86.9 d. 75.8 to 97.0 e. 78.5 to 97.0 f. 75.8 to 79.0arrow_forward
- man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…arrow_forwardA Dr is doing a test on diseases. He has a population of 1,000,000 with a disease affecting .01% of the population. There is a test for the disease which is 99% accurate. A positive test result indicates that the person has the disease. How would I complete the table below assuming that the entire population (1,000,000 individuals) is tested for the disease?arrow_forwardQ4 In this question, the real numbers in your answers should be given with three significant digits of accuracy after the decimal point. The public health authorities of a small town have divided the population into three categories: covid-negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised.arrow_forward
- The director of student recruitment is interested in the ACT scores for the incoming Freshmen class. A group of 300 students is surveyed and the research finds that these students have an average ACT score of 21. For this study, the average of 21 is an example of a(n) ___________.arrow_forward1 In class, the definition of the sample variance was n-1 E-1(x; – x)². Show that i=1 1 this is equivalent to п-1 E (x;²) – Li=14)). (Hint: You can start on either side n and work to the other equation, but it might be easier to start with the original equation)arrow_forward= 2:58 In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c). Purchase likelihood More likely Less likely 18-34 35-44 45-54 55+ 225 333 363 408 27 10 21 11 Neither more nor less likely 294 217 152 108 Total 546 560 536 527 The probability is approximately 0.197. (Round to three decimal places as needed.) (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is neither more nor less likely to buy a product emphasized as "Made in our country"? The probability is approximately. (Round to three decimal places as needed.) Total D 1329 69 771 2169 (b) What is the probability that a randomly selected individual…arrow_forward
- 4 /12 100% 17. You are getting the perimeter, the distance around the shape, but all the lines/sides do not have a number, so you have to use the segment addition postulate to figure out the missing pieces before you add all the sides up to get the perimeter. In the figure shown below, each pair of intersecting line segments meets at a right angle, and all the lengths are given in inches. What is the perimeter, in inches, of the figure? 14 4 A. 30 В. 36 С. 42 D. 52 E. 62arrow_forwardFor this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 586 potsherds was found, of which 361 were identified as Santa Fe black-on-white. (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief statement of the meaning of the confidence interval. a) 95% of the confidence intervals created using this method would include the true proportion of potsherds. b) 95% of all confidence intervals would include the true proportion of potsherds. c) 5% of the confidence intervals created using this method would include the…arrow_forwardFor this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 596 potsherds was found, of which 369 were identified as Santa Fe black-on-white. (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit =__ upper limit =__arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License