An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. 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
Now consider a bag of ten colorful marbles. You reach
into the bag 100 times. Each time you pull out a
marble, write down what color it was, then put it back
in the bag and do it again. You record the following
data:
Table describing
marble frequency
Color Frequency
Red
22
Yellow
9
Green
41
Blue
28
Given the stem-and-leaf diagram. Answer the following questions:
• The total frequency all stems
• Observations of the stem that has largest frequency
Stem-and-leaf of C1 N - 82
Leaf Unit = 0.10
4
3
84
33
4
85
3
86
87
777
13
456789
24
34
88
89
23334556679
0233678899
0111344456789
0001112256688
22236777
023347
(13)
35
90
91
22
92
14
93
94
2247
4
95
96
97
15
2
2
1
98
99
8
1
Q1
88.575
100 3
Median
90.400
Q3
92.200
a. Total frequency = 18
Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9
O b. Total frequency = 82
Observations on the largest frequency: 87.4, 87.5, 87.6, 87.7, 87.8, 87.9
Oc.
Total frequency = 82
Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9
O d. Total frequency cannot be determined by the present diagram
Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9
345
A survey was taken on Maple Avenue. In each of 20 homes, people were asked how many cars were registered to their households. Present this data in your own Frequency Distribution Table. The results were recorded as follows: 3 1 4 0 2 1 5 2 1 5 3 2 0 2 1 0 3 2 4 2
Chapter 14 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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
- Mating parts are shown in Figure 29-16. The pins in the top piece fit into the holes in the bottom piece. All dimensions are in inches. Determine the following; a. The mean pin diameters b. The mean hole diameters c. The maximum dimension A d. The minimum dimension A e. The maximum dimension B f. The minimum dimension B g. The maximum total clearance between dimension C and dimension D h. The minimum total clearance between dimension C and dimension Darrow_forwardGiven the stem-and-leaf diagram. Answer the following questions: • The total frequency all stems Observations of the stem that has largest frequency Stem-and-leaf of C1 N - 82 Leaf Unit - 0.10 1 4 84 33 4 85 86 777 13 87 456789 24 88 89 23334556679 0233678899 90 0111344456789 0001112256688 22236777 023347 (13) 35 91 22 92 14 93 8 94 2247 95 4 96 97 15 2 2 98 8 1. 99 1 100 3 Q1 88.575 Median Q3 90.400 92.200 a. Total frequency = 18 Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 b. Total frequency cannot be determined by the present diagram Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 O.Total frequency = 82 Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 O d. Total frequency = 82 Observations on the largest frequency: 87.4, 87.5, 87.6, 87.7, 87.8, 87.9 34 5 678 9012NM 435 2arrow_forwardGiven the stem-and-leaf diagram. Answer the following questions: • The total frequency all stems • Observations of the stem that has largest frequency Stem-and-leaf of C1 N - 82 Leaf Unit - 0.10 1 83 4 33 3 ךרר 456789 23334556679 3 84 85 86 13 87 88 89 4 24 34 0233678899 0111344456789 0001112256688 22236777 023347 2247 (13) 90 35 91 22 14 92 93 94 4 95 4 96 15 2 97 2 98 8 1 99 1 Q1 100 3 Median 03 92.200 88.575 90.400 a. Total frequency = 82 Observations on the largest frequency: 87.4, 87.5, 87.6, 87.7, 87.8, 87.9 b. Total frequency = 18 Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 O. Total frequency cannot be determined by the present diagram Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9 Od. Total frequency = 82 Observations on the largest frequency: 90.0, 90.1, 90.1, 90.1, 90.3, 90.4, 90.4, 90.4, 90.5, 90.6, 90.7, 90.8, 90.9arrow_forward
- Suppose we want to estimate the annual high temperatures of the hottest major cities in the United States. Below is data from 12 cities with the average annual temperature taken from 1971 to 2000 City Temperature (Fahrenheit) Phoenix, Arizona 87.2 Miami, Florida 84.3 Orlando, Florida 82.8 Riverside, California 80.9 Austin, Texas 79.8 Houston, Texas 79.7 San Antonio, Texas 80.3 Las Vegas, Nevada 80.1 Jacksonville, Florida 79.3 New Orleans, Louisiana 78.2 Tampa, Florida 81.7 Los Angeles, California 75.2 What's the population for this study? What's the sample for this study?arrow_forwardA population data set produced the following information. N = 250. Ex = 9980, Ey = 1455, xy = 85,040 E2 = 486,820, and = 136,745 Find the values of oe and p?. Round oe to four decimal places and p? to three decimal places. iarrow_forwardThe following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (e) below. Click the icon to view the table of fatal crashes in various light and weather conditions. Table of number of drivers involved in fatal crashes Weather Normal Rain Snow/Sleet Other Unknown Dark, but Daylight Lighted 14,265 888 5502 484 228 106 815 63 49 250 Light Condition Print Dark 8056 691 145 248 550 Dawn/Dusk Other D 1249 66 93 6 11 5 36 15 82 146 - Done X nd in daylight. in daylight. ining? (For the purposes of this exercise, consider a probability less than 0.05 To be low.) raining because the probability P(Raining and Dark without lighting) =is A. A better question would be "Among the drivers on the road when it is dark and raining, what proportion result in a fatality?" ▼arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
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 Technology
Advanced Math
ISBN:9781337798310
Author: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
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