Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 4.4, Problem 10BSC
Independent and Dependent
10. A: When the first digit (0 through 9) of a four-digit lottery number is chosen by someone buying a ticket, it is the same first digit that is later drawn in the official lottery.
B: When the second digit of a four-digit lottery number is chosen by someone buying a ticket, it is the same second digit that is later drawn in the official lottery.
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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…
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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 4 Solutions
Elementary Statistics
Ch. 4.2 - Florida Lottery Let A denote the event of placing...Ch. 4.2 - Probability Given that the following statement is...Ch. 4.2 - Interpreting Weather While this exercise was being...Ch. 4.2 - Subjective Probability Estimate the probability...Ch. 4.2 - Prob. 5BSCCh. 4.2 - Prob. 6BSCCh. 4.2 - Prob. 7BSCCh. 4.2 - Prob. 8BSCCh. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...
Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - Traffic Light When arriving at the traffic light...Ch. 4.2 - Weather While this exercise was being created,...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pierced Ears Based on a Harris poll, there is a...Ch. 4.2 - SAT Test When making a random guess for an answer...Ch. 4.2 - Dice When rolling a pair of dice at the Bellagio...Ch. 4.2 - Statistics Test It is impossible to pass a...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pre-Employment Drug Screening Find the probability...Ch. 4.2 - Pre-Employment Drug Screening Hind the probability...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Struck by Lightning In a recent year, 304 of the...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Two Children Exercise 37 lists the sample spice...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Prob. 43BBCh. 4.2 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.2 - Prob. 45BBCh. 4.2 - Prob. 46BBCh. 4.2 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.3 - Complements What is wrong with the expression?...Ch. 4.3 - Casino Craps A gambler plans to play the casino...Ch. 4.3 - Disjoint Events For a Gallup poll, M is the event...Ch. 4.3 - Rule of Complements One form of the rule of...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Whatever A Marist poll survey showed that 47% of...Ch. 4.3 - Online Courses According to the National...Ch. 4.3 - Flirting Survey In a Microsoft Instant Messaging...Ch. 4.3 - Finding Complements. In Exercises 58, find the...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the subjects it randomly...Ch. 4.3 - Drug Screening If one of the subjects is randomly...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Prob. 31BSCCh. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - Gender Selection When analyzing results from a...Ch. 4.3 - Disjoint Events If events A and B are disjoint and...Ch. 4.3 - Exclusive Or The formal addition rule expressed...Ch. 4.3 - Extending the Addition Rule Extend the formal...Ch. 4.3 - Complements and the Addition Rule a. Develop a...Ch. 4.4 - Notation Let R be the event of randomly selecting...Ch. 4.4 - Independent and Dependent Events Are events R and...Ch. 4.4 - Independent and Dependent Events True or false:...Ch. 4.4 - Sample for a Poll There are currently 28,741,346...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Pro-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Redundancy In Computer Hard Drives It is generally...Ch. 4.4 - Redundancy In Aircraft Radios The FAA requires...Ch. 4.4 - Born on the 4th of July For the following, ignore...Ch. 4.4 - Hiring Employees Assume that Google, Inc. hires...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - Prob. 26BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - Prob. 29BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - System Reliability Refer to the figure at the top...Ch. 4.4 - Prob. 32BBCh. 4.5 - Prob. 1BSCCh. 4.5 - Prob. 2BSCCh. 4.5 - Prob. 3BSCCh. 4.5 - Confusion of the Inverse Using the same events A...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - At Least One Working Calculator A statistics...Ch. 4.5 - Probability of a Girl Assuming that boys and girls...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - Births in the United States hi the United States,...Ch. 4.5 - Births in China In China, the probability of a...Ch. 4.5 - Car Crashes The probability of a randomly selected...Ch. 4.5 - Cleared Burglaries According 10 FBI data, 12.4% of...Ch. 4.5 - At Least One. In Exercises 5-12, find the...Ch. 4.5 - Compliments at Work Based on a poll conducted...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Prob. 27BSCCh. 4.5 - Prob. 28BSCCh. 4.5 - Redundancy in Computer Hard Drives Assume that...Ch. 4.5 - Prob. 30BSCCh. 4.5 - Composite Drug Screening Based on the data in...Ch. 4.5 - Composite Water Samples The Fairfield County...Ch. 4.5 - Prob. 33BBCh. 4.5 - Prob. 34BBCh. 4.6 - Prob. 1BSCCh. 4.6 - Prob. 2BSCCh. 4.6 - California Daily 4 The winning numbers for the...Ch. 4.6 - Selections with Replacement When randomly...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 9BSCCh. 4.6 - Prob. 10BSCCh. 4.6 - Prob. 11BSCCh. 4.6 - Prob. 12BSCCh. 4.6 - Prob. 13BSCCh. 4.6 - Prob. 14BSCCh. 4.6 - Prob. 15BSCCh. 4.6 - Florida Lottery Winning the jackpot in the Florida...Ch. 4.6 - Prob. 17BSCCh. 4.6 - Prob. 18BSCCh. 4.6 - Prob. 19BSCCh. 4.6 - Prob. 20BSCCh. 4.6 - Prob. 21BSCCh. 4.6 - Prob. 22BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 24BSCCh. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Prob. 27BSCCh. 4.6 - Electricity When testing for current in a cable...Ch. 4.6 - Prob. 30BSCCh. 4.6 - Prob. 31BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 33BSCCh. 4.6 - Prob. 34BSCCh. 4.6 - Prob. 35BSCCh. 4.6 - Prob. 36BSCCh. 4.6 - Prob. 37BBCh. 4.6 - Prob. 38BBCh. 4.6 - Prob. 39BBCh. 4.6 - Prob. 40BBCh. 4 - A multiple-choice question on a statistics quiz...Ch. 4 - As the author is creating this exercise, a weather...Ch. 4 - Prob. 3CQQCh. 4 - Prob. 4CQQCh. 4 - Estimate the probability that a randomly selected...Ch. 4 - Prob. 6CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prob. 8CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Trifecta In horse racing, a trifecta is a bet that...Ch. 4 - Prob. 1CRECh. 4 - Unusual/Unlikely Events a. The mean pulse rate for...Ch. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Sampling Eye Color Based on a study by Dr. P....Ch. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 1FDDCh. 4 - Prob. 2FDDCh. 4 - Prob. 3FDDCh. 4 - Prob. 4FDDCh. 4 - Prob. 5FDDCh. 4 - Prob. 6FDDCh. 4 - Prob. 7FDDCh. 4 - Critical Thinking: Interpreting medical test...Ch. 4 - Prob. 9FDD
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