(a)
Compute the differences that exist between the burning times of the four brands of flares.
(a)
Explanation of Solution
The null and alternative hypothesis can be written as follows:
SST can be calculated as follows:
SSE can be calculated as follows:
Thus, the value of SSE is 2,236.
Table-1 shows the ANOVA Table as follows:
Table-2 | ||||
Source | Degree of freedom | Sum of square | Mean square | F |
Treatments | k-1 = 3 | SST = 662.7 | 220.9 | 3.56 |
Error | n- k = 36 | SSE = 2,236 | 62.11 |
Thus, the estimated F-value is 3.56 and p-value is 0.0236. Here, there is an adequate evidence to accomplish that differences exist between the flares with respect to burning times.
(b)
Compute theLSD with Bonferroni adjustment.
(b)
Explanation of Solution
t-value can be written as follows:
LSD can be calculated as follows:
Table-2 shows the means and difference as follows:
Table-2 | ||||||
Treatment | Means | Difference | ||||
i = 1, j =2 | 61.6 | 57.3 | 4.3 | |||
i = 1, j =3 | 61.6 | 61.8 | -2 | |||
i = 1, j =4 | 61.6 | 51.8 | 9.8 | |||
i =2, j =3 | 57.3 | 61.8 | -4.5 | |||
i =2, j =4 | 57.3 | 51.8 | 5.5 | |||
i = 3, j =4 | 61.8 | 51.8 | 10 | |||
Therefore, from the above calculation, the mean of flares C and D differs.
(c)
Compute the Tukey’s method.
(c)
Explanation of Solution
Table-2 shows the means and difference as follows:
Table-2 | ||||
Treatment | Means | Difference | ||
i = 1, j =2 | 61.6 | 57.3 | 4.3 | |
i = 1, j =3 | 61.6 | 61.8 | -2 | |
i = 1, j =4 | 61.6 | 51.8 | 9.8 | |
i =2, j =3 | 57.3 | 61.8 | -4.5 | |
i =2, j =4 | 57.3 | 51.8 | 5.5 | |
i = 3, j =4 | 61.8 | 51.8 | 10 |
Therefore, from the above calculation, the mean of flares A and D, C and D differs.
Want to see more full solutions like this?
Chapter 14 Solutions
Statistics for Management and Economics (Book Only)
- With d-statistics 0.354 and du 1.715, What can you conclude about the Durbin Watson Test?arrow_forwardMedical tests were conducted to learn about drug-resistant tuberculosis. Of 142 cases tested in New Jersey, 9 were found to be drug-resistant. Of 268 cases tested in Texas, 5 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a .02 level of significance. What is the -value, and what is your conclusion? Test statistic =arrow_forwardA company is considering an organizational change which entails adopting the use of self-managed work teams which they hope will lead to higher levels of employee satisfaction. In order to assess the attitudes of employees of the company towards this change a sample of 250 employees was selected and asked whether they favor the institution of self-managed teams. Three responses were allowed: favor, neutral or oppose. The observed frequency of the results of the survey are shown below: Opinion Type of Job Favor Neutral Oppose Total Hourly Worker 25 40 35 100 Supervision 45 35 20 100 Manager 20 15 15 50 Total 90 90 70 250 Use this data to test the hypothesis that opinion and type of job are independent at the .025 level.arrow_forward
- Birth weight and smoking during pregnancy,Birthweight,Smoker3771,03140,03317,04210,03076,03771,03487,03487,01559,03630,03572,03260,03430,04224,02955,03912,03196,03459,03459,03430,02750,03686,03260,03969,03430,03629,02863,02830,03105,02948,03175,04309,03232,03487,02807,03820,03941,02211,03204,03657,13487,12495,14253,13147,13600,13005,12552,13147,14593,13430,11985,13317,13487,13884,13289,13470,12665,13090,12835,11843,14451,12863,1900,12353,13317,12850,13560,13080,12325,13119,13175,13313,13374,12750,12835,13345,12637,13742,13119,13345,13175,12013,13232,13286,13360,13402,12948,12580,13260,13686,12750,12977,12580,14082,12807,12381,13175,13714,13544,13544,1arrow_forwardYou have been hired as a consultant by building contractor, who have been sued by the owners' representatives of a large condominium project for shoddy construction work. In order to assess the damages for the various units, the owners' association sent out a letter to owners and asked if people were willing to make their units available for destructive testing. Destructive testing was conducted in some of these units as a result of the responses. Based on the tests, the owners' association inferred the damage over the entire condo complex. Do you think that the inference is valid in this case? a). No, the inference is not valid. It is an example of sample selection bias because owners whose units were relatively more damaged were more likely to make theor units available for destructive testing. b). No, the inference is not valid because not all units were tested. c). Yes, the inference is valid. The study will correctly determine the incidence of damages in the concominium…arrow_forwardA researcher is interested to search students’ willingness in participating in sport. Students are at undergraduate level and form different specialization studying in particular college. The researcher wants to interview students from all specializations in order to find whether there is a link between specialization and participation in sport. He arranges the by undergraduate specialization, next, he selects students randomly within each specialization. What is the name of sampling method?arrow_forward
- Is it possible for an econometric study to have internal validity but notexternal validity?arrow_forwardYou are helping a friend that owns a local store. Their costs are per unit, so the only way they can maximize profits are by increasing revenue. Therefore, you would like to help identify the price that will maximize revenues. Below is data from a previous period. Complete the chart. (For the TR Test, consider that prices are increasingarrow_forwardWhat is differance between three sector ecnomoy and four sector ecnomoyarrow_forward
- Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
- Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningManagerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education