Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10, Problem 26P
Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.
Calculate the test statistic and p-value.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
very time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when…
EKS
C
ALEKS - Kim Johnson - Ch 6S × 4
www-awy.aleks.com alekscgi/x/sl.exe/16_u-lgNs/kr7j8FB)--BjuvZG weRMign 4tCy83MpSgONH0-ovaPm-Zym
e Chrome isn't your default browser
Set as default
Ch 6 Sec 4 Homework
Question 4 of 4 (1 point) | Question Attempt: 2 of Unlimited
✓ 2
✓ 3
= 4
Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Two hundred
workers are chosen at random. Use the TI-84 Plus calculator as needed. Round your answer to at least four decimal places.
(a) Approximate the probability that 155 or fewer workers find their jobs stressful.
(b) Approximate the probability that more than 145 workers find their jobs stressful.
(c) Approximate the probability that the number of workers who find their jobs stressful is between 154 and 172 inclusive.
Part 1 of 3
The probability that 155 or fewer workers find their jobs stressful is 0.1207
Part 2 of 3
bility that more than 145 workers find their jobs…
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01
significance level, test the claim that injuries are independent of helmet color.
Color of Helmet
Black
White
Yellow
Red
Blue
Controls (not injured)
499
373
32
159
79
Cases (injured
221
108
8
66
38
or killed)
Click here to view the chi-square distribution table.
Chi-square distribution table
Area to the Right of the Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
C. Ho: Injuries and neimet color are dependent
H₁: Injuries and helmet color are independent
D. Ho: Whether a crash occurs and helmet color are dependent
1
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297…
Chapter 10 Solutions
Introductory Statistics
Ch. 10 - Two samples are shown in Table 10.2. Both have...Ch. 10 - A study is done to determine if Company A retains...Ch. 10 - Weighted alpha is a measure of risk-adjusted...Ch. 10 - The means of the number of revolutions per minute...Ch. 10 - Two types of valves are being tested to determine...Ch. 10 - A concerned group of citizens wanted to know if...Ch. 10 - A study was conducted to investigate how effective...Ch. 10 - A new prep class was designed to improve SAT test...Ch. 10 - Five ball players think they can throw the same...Ch. 10 - Two Population Means with Unknown Standard...
Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Two Population Means with Unknown Standard...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Two Population Means with Known Standard...Ch. 10 - Two Population Means with Known Standard...Ch. 10 - Two Population Means with Known Standard...Ch. 10 - Two Population Means with Known Standard...Ch. 10 - Two Population Means with Known Standard...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Comparing Two Independent Population Proportions....Ch. 10 - Comparing Two Independent Population Proportions....Ch. 10 - Comparing Two Independent Population Proportions....Ch. 10 - Comparing Two Independent Population Proportions....Ch. 10 - Comparing Two Independent Population Proportions....Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Matched or Paired Samples Use the following...Ch. 10 - Matched or Paired Samples Use the following...Ch. 10 - Matched or Paired Samples Use the following...Ch. 10 - Matched or Paired Samples Use the following...Ch. 10 - Matched or Paired Samples Use the following...Ch. 10 - Use the following information to answer next five...Ch. 10 - Use the following information to answer next five...Ch. 10 - Use the following information to answer next five...Ch. 10 - Use the following information to answer next five...Ch. 10 - Use the following information to answer next five...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - The mean number of English courses taken in a...Ch. 10 - A student at a four-year college claims that mean...Ch. 10 - At Rachel’s 11th birthday party, eight girls were...Ch. 10 - Mean entry-level salaries for college graduates...Ch. 10 - Marketing companies have collected data implying...Ch. 10 - Use the information from Appendix C to answer the...Ch. 10 - Use the information from Appendix C to answer the...Ch. 10 - Use the information from Appendix C to answer the...Ch. 10 - Use the information from Appendix C to answer the...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Suppose a statistics instructor believes that...Ch. 10 - Researchers interviewed street prostitutes in...Ch. 10 - A powder diet is tested on 49 people, and a liquid...Ch. 10 - Suppose a statistics instructor believes that...Ch. 10 - A study is done to determine if students in the...Ch. 10 - Parents of teenage boys often complain that auto...Ch. 10 - A group of transfer bound students wondered if...Ch. 10 - Some manufacturers claim that non-hybrid sedan...Ch. 10 - A baseball fan wanted to know if there is a...Ch. 10 - One of the questions in a study of marital...Ch. 10 - A recent drug survey showed an increase in the use...Ch. 10 - We are interested in whether the proportions of...Ch. 10 - Elizabeth Mjelde, an art history professor, was...Ch. 10 - A recent year was randomly picked from 1985 to the...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Researchers conducted a study to find out if there...Ch. 10 - Adults aged 18 years old and older were randomly...Ch. 10 - Two computer users were discussing tablet...Ch. 10 - A group of friends debated whether more men use...Ch. 10 - While her husband spent 21/2. hours picking out...Ch. 10 - We are interested in whether children’s...Ch. 10 - Joan Nguyen recently claimed that the proportion...Ch. 10 - Use the data sets found in Appendix C to answer...Ch. 10 - "To Breakfast or Not to Breakfast?" by Richard...Ch. 10 - Ten individuals went on a lowfat diet for 12 weeks...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - A golf instructor is interested in determining if...Ch. 10 - A local cancer support group believes that the...Ch. 10 - A traveler wanted to know if the prices of hotels...Ch. 10 - A politician asked his staff to determine whether...Ch. 10 - A powder diet is tested on 49 people, and a liquid...Ch. 10 - A new chocolate bar is taste-tested on consumers....Ch. 10 - The mean number of English courses taken in a...Ch. 10 - A football league reported that the mean number of...Ch. 10 - A study is done to determine if students in the...Ch. 10 - According to a YWCA Rape Crisis Center newsletter,...Ch. 10 - According to a recent study, U.S. companies have a...Ch. 10 - A recent drug survey showed an increase in use of...Ch. 10 - A new SAT study course is tested on 12...Ch. 10 - University of Michigan researchers reported in the...Ch. 10 - Lesley E. Tan investigated the relationship...Ch. 10 - A golf instructor is interested in determining if...
Additional Math Textbook Solutions
Find more solutions based on key concepts
3. Relative Frequency Distribution Use percentages to construct the relative frequency distribution correspondi...
Elementary Statistics (13th Edition)
Repeated integration by parts Evaluate the following integrals. 24. e3xcos2xdx
Calculus: Early Transcendentals (2nd Edition)
TRY IT YOURSELF 1
Find the mean of the points scored by the 51 winning teams listed on page 39.
Elementary Statistics: Picturing the World (7th Edition)
Use the table of integrals at the back of the text to evaluate the integrals in Exercises 1-26.
1.
University Calculus: Early Transcendentals (4th Edition)
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
- Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 32, 46, 39, 29, 26. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Click here to view the chi-square distribution table. The test statistic is (Round to three decimal places as needed.) Chi-square distribution table Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 0.001 0.004 0.016 2.706 3.841 5.024 6.635 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 7.879 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 5…arrow_forwardThe online clothing retailer e-Parel is conducting a study to estimate the average size of the orders placed by visitors to its website. The project manager desires a $60 bound on the error of estimation at 90% confidence. The population standard deviation is unknown, and a “best guess” of $175 is used as the planning value for σ. Use the Distributions tool to help you answer the questions that follow. 0123 Select a Distribution The z-value for a 90% confidence interval of the population mean is . In order to satisfy the requirement of a $60 bound on the error of estimation, a sample size no smaller than is needed.arrow_forwardA local electronics store just received a shipment of 620 HDMI cables. The manager wants to estimate the number of defective HDMI cables in the shipment. Rather than checking every HDMI cable, the manager plans to take a simple random sample of size 62 in order to estimate the proportion of defective HDMI cables in the shipment. If the sample proportion of defective HDMI cables, p̂p̂, is greater than 0.0323 (there are more than two defective HDMI cables in the sample), the manager will file a complaint and request a new shipment. Suppose that the true proportion of defective HDMI cables in the shipment is approximately p = 0.02. What is the expected value of the sample proportion? E(Pˆ)E(P^)= Since the sample is to be drawn from a finite population, and since the sample is 5% of the population size, the finite population correction factor needed when you calculate the standard deviation of the sampling distribution. What is the standard deviation of the…arrow_forward
- An automobile battery manufacturer offers a 39/50 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 39 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 39 months but within 50 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that X, the lifetime of its auto batteries, is normally distributed with a mean of 44 months and a standard deviation of 3.6 months. Use the following Distributions tool to help you answer the questions that follow. (Hint: When you adjust the parameters of a distribution, you must reposition the vertical line (or lines) for the correct areas to be displayed.) 0123 Select a Distribution If the manufacturer’s assumptions are correct, it would need to replace of its…arrow_forwardIn regards to conducting a linear contrast after a one-way ANOVA, can you explain how seemingly arbitrary weights that "emphasize or de-emphasize" certain variables in a linear combination and sum to zero are able to provide information about how certain groups differ from each other? For example, if we havethree groups A, B, and C, and we want tocompare the mean of group A with theaverage of groups B and C, the weights inthis case are 1 for group A, and -0.5 for groupsB and C, which sum to zero. But how do these numbers model the relationship of comparing one group to the average of the other two? Does it have to do with how the math is carried out, such as how the test statistic is created?arrow_forwardCan you simply and intuitively explain the purpose of a contrast to the treatment sum of squares? For example, do orthogonal contrasts partition the treatment sum of squares into additive components that represent the variation due to each contrast? If so, what would be the purpose of this?arrow_forward
- The height of the graph of the probability density function f(x) varies with X as follows (round to four decimal places): X 16 Height of the Graph of the Probability Density Function You are flying out of Terminal 3 at JFK on a Wednesday afternoon between 3:00 and 4:00 PM. You get stuck in a traffic jam on the way to the airport, and if it takes you longer than 12 minutes to clear security, you'll miss your flight. The probability that you'll miss your flight is You have arrived at the airport and have been waiting 10 minutes at the security checkpoint. Recall that if you spend more than 12 minutes clearing security, you will miss your flight. Now what is the probability that you'll miss your flight? ○ 0.5 O 0.25 ○ 0.8333 ○ 0.6667arrow_forwardonsider a random variable x that follows a uniform distribution, with a = 2 and b = 9. What is the probability that x is less than 6? P(x < 6) = 0.2857 P(x < 6) = 0.5714 P(x < 6) = 0.17142 P(x < 6) = 0.4286 What is the probability that x is between 4 and 6? P(4 ≤ x ≤ 6) = 0.2857 P(4 ≤ x ≤ 6) = 0.157135 P(4 ≤ x ≤ 6) = 0.0928525 P(4 ≤ x ≤ 6) = 0.11428arrow_forwardConsider a random variable x that follows a uniform distribution, with a = 8 and b = 14. What is the probability that x is less than 13? P(x < 13) = 0.1667 P(x < 13) = 0.41665 P(x < 13) = 0.24999 P(x < 13) = 0.8333 What is the probability that x is between 11 and 12? P(11 ≤ x ≤ 12) = 0.0541775 P(11 ≤ x ≤ 12) = 0.1667 P(11 ≤ x ≤ 12) = 0.06668 P(11 ≤ x ≤ 12) = 0.091685arrow_forward
- please solve this problem step by step and make it quick pleasearrow_forwardWHAT IS THE CORRECT ANSWER AND WHY?arrow_forwardA common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie. Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute. Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Statistics 4.1 Introduction to Inferential Statistics; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=QLo4TEvBvK4;License: Standard YouTube License, CC-BY