Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137549375
Author: Richard Larsen, Morris Marx
Publisher: PEARSON+
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14.4, Problem 6Q
A sample of ten 40-W light bulbs was taken from each of three manufacturing plants. The bulbs were burned until failure. The number of hours that each remained lit is listed in the following table.
| Plant 1 | Plant 2 | Plant 3 |
| 905 | 1109 | 571 |
| 1018 | 1155 | 1346 |
| 905 | 835 | 292 |
| 886 | 1152 | 825 |
| 958 | 1036 | 676 |
| 1056 | 926 | 541 |
| 904 | 1029 | 818 |
| 856 | 1040 | 90 |
| 1070 | 959 | 2246 |
| 1006 | 996 | 104 |
(a) Test the hypothesis that the
median lives of bulbs produced at the three plants are all the same. Use the 0.05 level of significance.(b) Are the mean lives of bulbs produced at the three plants all the same? Use the analysis of variance with
(c) Change the observation “2246” in the third column to “1500” and redo part (a). How does this change affect the hypothesis test?
(d) Change the observation “2246” in the third column to “1500” and redo part (b). How does this change affect the hypothesis test?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2011 listing by carmax
of the ages and prices of various corollas in a ceratin region
س 11/ أ . اذا كانت 1 + x) = 2 x 3 + 2 x 2 + x) هي متعددة حدود محسوبة باستخدام طريقة
الفروقات المنتهية (finite differences) من جدول البيانات التالي للدالة (f(x . احسب قيمة . ( 2 درجة )
xi k=0 k=1 k=2 k=3
0
3
1
2
2
2
3
α
1. Differentiate between discrete and continuous random variables,
providing examples for each type.
2. Consider a discrete random variable representing the number of
patients visiting a clinic each day. The probabilities for the
number of visits are as follows:
0 visits: P(0) = 0.2
1 visit: P(1) = 0.3
2 visits: P(2) = 0.5
Using this information, calculate the expected value (mean) of
the number of patient visits per day. Show all your workings
clearly.
Rubric to follow
Definition of Random variables ( clearly and accurately differentiate between discrete and continuous random variables with appropriate examples for each)
Identification of discrete random variable (correctly identifies "number of patient visits" as a discrete random variable and explains reasoning clearly.)
Calculation of probabilities (uses the probabilities correctly in the calculation, showing all steps clearly and logically)
Expected value calculation (calculate the expected value (mean)…
Chapter 14 Solutions
Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
Ch. 14.2 - Recall the data in Question 8.2.9 giving the sizes...Ch. 14.2 - Test H0==0.12 versus H1=0.12 for the release chirp...Ch. 14.2 - Below are n=50 computer-generated observations...Ch. 14.2 - Let Y1,Y2,...,Y22 be a random sample of normally...Ch. 14.2 - Suppose that n=7 paired observations, (Xi,Yi), are...Ch. 14.2 - Analyze the Shoshoni rectangle data (Case Study...Ch. 14.2 - Recall the FEV1/VC data described in Question...Ch. 14.2 - Do a sign test on the ESP data in Question 13.2.2....Ch. 14.2 - In a marketing research test, twenty-eight adult...Ch. 14.2 - Suppose that a random sample of size...
Ch. 14.2 - Prob. 11QCh. 14.3 - The average energy expenditures for eight elderly...Ch. 14.3 - Prob. 2QCh. 14.3 - Prob. 3QCh. 14.3 - Prob. 4QCh. 14.3 - Prob. 5QCh. 14.3 - DoaWilcoxon signed rank test on the hemoglobin...Ch. 14.3 - Prob. 7QCh. 14.3 - Prob. 8QCh. 14.3 - Prob. 9QCh. 14.3 - Prob. 10QCh. 14.4 - Prob. 1QCh. 14.4 - Prob. 2QCh. 14.4 - Prob. 3QCh. 14.4 - Prob. 4QCh. 14.4 - Prob. 5QCh. 14.4 - A sample of ten 40-W light bulbs was taken from...Ch. 14.4 - Prob. 7QCh. 14.4 - Prob. 8QCh. 14.5 - The following data come from a field trial set up...Ch. 14.5 - Prob. 2QCh. 14.5 - Prob. 3QCh. 14.5 - Prob. 4QCh. 14.5 - Prob. 5QCh. 14.5 - Prob. 6QCh. 14.6 - Prob. 1QCh. 14.6 - Listed below for two consecutive fiscal years are...Ch. 14.6 - Prob. 3QCh. 14.6 - Prob. 4QCh. 14.6 - Prob. 5QCh. 14.6 - Prob. 6Q
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
- if the b coloumn of a z table disappeared what would be used to determine b column probabilitiesarrow_forwardConstruct a model of population flow between metropolitan and nonmetropolitan areas of a given country, given that their respective populations in 2015 were 263 million and 45 million. The probabilities are given by the following matrix. (from) (to) metro nonmetro 0.99 0.02 metro 0.01 0.98 nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2016 through 2020 (in millions, to four decimal places). (Let x, through x5 represent the years 2016 through 2020, respectively.) x₁ = x2 X3 261.27 46.73 11 259.59 48.41 11 257.96 50.04 11 256.39 51.61 11 tarrow_forwardIf the average price of a new one family home is $246,300 with a standard deviation of $15,000 find the minimum and maximum prices of the houses that a contractor will build to satisfy 88% of the market valuearrow_forward
- 21. ANALYSIS OF LAST DIGITS Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? Does there appear to be a gap in the frequencies and, if so, how might that gap be explained? What do you know about the accuracy of the results? 3 4 555 0 0 0 0 0 0 0 0 0 1 1 23 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9arrow_forwardA side view of a recycling bin lid is diagramed below where two panels come together at a right angle. 45 in 24 in Width? — Given this information, how wide is the recycling bin in inches?arrow_forward1 No. 2 3 4 Binomial Prob. X n P Answer 5 6 4 7 8 9 10 12345678 8 3 4 2 2552 10 0.7 0.233 0.3 0.132 7 0.6 0.290 20 0.02 0.053 150 1000 0.15 0.035 8 7 10 0.7 0.383 11 9 3 5 0.3 0.132 12 10 4 7 0.6 0.290 13 Poisson Probability 14 X lambda Answer 18 4 19 20 21 22 23 9 15 16 17 3 1234567829 3 2 0.180 2 1.5 0.251 12 10 0.095 5 3 0.101 7 4 0.060 3 2 0.180 2 1.5 0.251 24 10 12 10 0.095arrow_forward
- step by step on Microssoft on how to put this in excel and the answers please Find binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7,…arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). What is an example of fair division of the cake S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forwardFaye cuts the sandwich in two fair shares to her. What is the first half s1arrow_forward
- Question 2. An American option on a stock has payoff given by F = f(St) when it is exercised at time t. We know that the function f is convex. A person claims that because of convexity, it is optimal to exercise at expiration T. Do you agree with them?arrow_forwardQuestion 4. We consider a CRR model with So == 5 and up and down factors u = 1.03 and d = 0.96. We consider the interest rate r = 4% (over one period). Is this a suitable CRR model? (Explain your answer.)arrow_forwardQuestion 3. We want to price a put option with strike price K and expiration T. Two financial advisors estimate the parameters with two different statistical methods: they obtain the same return rate μ, the same volatility σ, but the first advisor has interest r₁ and the second advisor has interest rate r2 (r1>r2). They both use a CRR model with the same number of periods to price the option. Which advisor will get the larger price? (Explain your answer.)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
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
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
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
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