Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 9, Problem 15RE
a)
To determine
To state null and alternative hypotheses
b)
To determine
To find test statistic
c)
To determine
To decide whether to reject null hypothesis at a = 0.01
d)
To determine
To state conclusion
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy | 1 2 4 8 16p(y) | .05 .10 .35 .40 .10
a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:
F(x)=0.00 : x < 10.30 : 1≤x<30.40 : 3≤ x < 40.45 : 4≤ x <60.60 : 6≤ x < 121.00 : 12≤ x
a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
Chapter 9 Solutions
Elementary Statistics (Text Only)
Ch. 9.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...
Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - In Exercises 17-20, determine whether the outcome...Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - Fertilizer: A new type of fertilizer is being...Ch. 9.1 - Big fish: A sample of loo flounder of a certain...Ch. 9.1 - Check, please: A restaurant owner claims that the...Ch. 9.1 - Coffee: The mean caffeine content per cup of...Ch. 9.1 - Big dogs: A veterinarian claims that the mean...Ch. 9.1 - Business trips A sales manager believes that the...Ch. 9.1 - Type I error: A company that manufactures steel...Ch. 9.1 - Type I error: Washers used in a certain...Ch. 9.1 - Scales: It is desired to check the calibration of...Ch. 9.1 - IQ: Scores on a certain IQ test are known to have...Ch. 9.2 - In Exercises 23–28, fill in each blank with the...Ch. 9.2 - In Exercises 23-28, fill in each blank with the...Ch. 9.2 - Prob. 25ECh. 9.2 - In Exercises 23-28, fill in each blank with the...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - In Exercises 29-34, determine whether the...Ch. 9.2 - In Exercises 29-34, determine whether the...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - A test is made of H0:=50 versus H1:50. A sample of...Ch. 9.2 - A test is made of H0:=14 versus H1:14. A sample of...Ch. 9.2 - A test is made of H0:=130 versus H1:130. A sample...Ch. 9.2 - A test is made of H0:=5 versus H1:5. A sample of...Ch. 9.2 - A test of the hypothesis H0:=65 versus H1:65 was...Ch. 9.2 - A test of the hypothesis H0:=150 versus H1:150 was...Ch. 9.2 - True or false: If P=0.02, then The result is...Ch. 9.2 - True or false: If P=0.08, then The result is...Ch. 9.2 - A test of H0:=17 versus H1:17 is performed using a...Ch. 9.2 - A test of H0:=50 versus H1:50 is performed using a...Ch. 9.2 - A test of H0:=0 versus H1:0 is performed using a...Ch. 9.2 - Prob. 46ECh. 9.2 - If H0 is rejected at the =0.05 level, which of the...Ch. 9.2 - Prob. 48ECh. 9.2 - If P=0.03, which of the following is the best...Ch. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Are you smarter than a second grader? A random...Ch. 9.2 - Height and age: Are older men shorter than younger...Ch. 9.2 - Calibrating a scale: Making sure that the scales...Ch. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - What are you drinking? Environmental Protection...Ch. 9.2 - Prob. 60ECh. 9.2 - Interpret calculator display: The age in years was...Ch. 9.2 - Interpret calculator display: The number of...Ch. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Statistical or practical significance: A new...Ch. 9.2 - Test scores: A math teacher has developed a new...Ch. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Large samples and practical significance: A sample...Ch. 9.3 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Find the P-value for the following values of the...Ch. 9.3 - Find the P-value for the following values of the...Ch. 9.3 - Find the critical value or values for the...Ch. 9.3 - Find the critical value or values for the...Ch. 9.3 - Is there a doctor in the house? The market...Ch. 9.3 - College tuition: The mean annual tuition and fees...Ch. 9.3 - Big babies: The National Health Statistics Reports...Ch. 9.3 - Good credit: The Fair Isaac Corporation (FICO)...Ch. 9.3 - Commuting to work: The American Community Survey...Ch. 9.3 - Watching TV: The General Social Survey asked a...Ch. 9.3 - Prob. 21ECh. 9.3 - How much is in that can? A machine that fills...Ch. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Keep cool: Following are prices, in dollars, of a...Ch. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Interpret calculator display: A sample of adults...Ch. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Does this diet work? In a study of the...Ch. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Larger or smaller P-value? In a study of sleeping...Ch. 9.3 - Larger or smaller P-value? Juan and Mary want to...Ch. 9.3 - Interpret a P-value: A real estate agent believes...Ch. 9.3 - Interpret a P-value: The manufacturer of a...Ch. 9.3 - Using z instead of t: When the sample size is...Ch. 9.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - In a simple random sample of size 80, there were...Ch. 9.4 - Prob. 10ECh. 9.4 - In a simple random sample of size 75, there were...Ch. 9.4 - In a simple random sample of size 150, there were...Ch. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Quit smoking: In a survey of 444 HIV-positive...Ch. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Curing diabetes: Vertical banded gastroplasty is a...Ch. 9.4 - Tweet tweet: An article in Forbes magazine...Ch. 9.4 - Prob. 22ECh. 9.4 - Choosing a doctor: Which do patients value more...Ch. 9.4 - Prob. 24ECh. 9.4 - Interpret calculator display: In a recent poll,...Ch. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Who will you vote for? A simple random sample of...Ch. 9.4 - Prob. 31ECh. 9.4 - Dont perform a test: Over the past 100 days, the...Ch. 9.4 - Exact test: When np010 or n(1p0)10, we cannot use...Ch. 9.5 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - A random sample of size 25 from a normal...Ch. 9.5 - Prob. 14ECh. 9.5 - Babies: A sample of 25 one-year-old girls had a...Ch. 9.5 - Watching TV: The General Social Survey asked a...Ch. 9.5 - IQ scores: Scores on an IQ test are normally...Ch. 9.5 - SAT scores: Scores on the math SAT are normally...Ch. 9.5 - How much is in that can? A machine that fills...Ch. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.6 - In Exercises 5–12, slate which type of parameter...Ch. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Cookies: Following are the weights of 8 boxes of...Ch. 9.6 - Prob. 16ECh. 9.6 - Teacher salaries: A random sample of 50 public...Ch. 9.6 - Prob. 18ECh. 9.6 - Mercury pollution: Mercury is a toxic metal that...Ch. 9.6 - Prob. 20ECh. 9.7 - In Exercises 3-5, fill in each blank with the...Ch. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9.7 - In Exercises 6-8, determine whether the statement...Ch. 9.7 - Prob. 7ECh. 9.7 - Prob. 8ECh. 9.7 - Prob. 9ECh. 9.7 - A test has power 0.80 when 1=3.5. True or false:...Ch. 9.7 - Prob. 11ECh. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Watch sour cholesterol: An article in the...Ch. 9.7 - Prob. 15ECh. 9.7 - Coffee beans: Refer to Exercise 12. A test of the...Ch. 9.7 - Prob. 17ECh. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9 - Fill in the blank: A test of the hypotheses H0:=65...Ch. 9 - A hypothesis test results in a P-value of 0.008....Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - In a random sample of 500 people who took their...Ch. 9 - Prob. 9CQCh. 9 - Prob. 10CQCh. 9 - Prob. 11CQCh. 9 - In a test of H0:=5 versus H1:5, the value of the...Ch. 9 - True or false: We can perform a test for a...Ch. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Job satisfaction: The General Social Survey...Ch. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 1WAICh. 9 - Prob. 2WAICh. 9 - Prob. 3WAICh. 9 - Prob. 4WAICh. 9 - Prob. 5WAICh. 9 - Prob. 6WAICh. 9 - Prob. 1CSCh. 9 - Prob. 2CSCh. 9 - Prob. 3CSCh. 9 - For some records marked with a * the record...Ch. 9 - Prob. 5CSCh. 9 - Prob. 6CSCh. 9 - Prob. 7CS
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
- 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? [Note: It is not generally true that E(c/Y) = c/E(Y).]arrow_forward74. The proportions of blood phenotypes in the U.S. popula- tion are as follows:A B AB O .40 .11 .04 .45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? What is the probability that the phenotypes of two randomly selected individuals match?arrow_forward53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(BA)?arrow_forward
- 26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?arrow_forwardThe following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)arrow_forwardPlease provide the solution for the attached image in detailed.arrow_forward
- 20 km, because GISS Worksheet 10 Jesse runs a small business selling and delivering mealie meal to the spaza shops. He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of mealle meal he delivers. The table below helps him to calculate what to charge his customers. 10 20 30 40 50 Packets of mealie meal (m) Total costs in Rands 80 235 390 545 700 855 (c) 10.1. Define the following terms: 10.1.1. Independent Variables 10.1.2. Dependent Variables 10.2. 10.3. 10.4. 10.5. Determine the independent and dependent variables. Are the variables in this scenario discrete or continuous values? Explain What shape do you expect the graph to be? Why? Draw a graph on the graph provided to represent the information in the table above. TOTAL COST OF PACKETS OF MEALIE MEAL 900 800 700 600 COST (R) 500 400 300 200 100 0 10 20 30 40 60 NUMBER OF PACKETS OF MEALIE MEALarrow_forwardLet X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).arrow_forwardA well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward
- 5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).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
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher: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
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY