Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 15 13 38 15 22 2 20 21 4 31 15 13 15 7 44 34 17 23 12 11 12 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance. (a) What is the level of significance? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? ?(numerator) ?(denominator) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) (f) Make a summary table for your ANOVA test. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups ? ? ? ? ? Do not reject H0. Within groups ? ? ? Total ? ?
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 15 13 38 15 22 2 20 21 4 31 15 13 15 7 44 34 17 23 12 11 12 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance. (a) What is the level of significance? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? ?(numerator) ?(denominator) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) (f) Make a summary table for your ANOVA test. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups ? ? ? ? ? Do not reject H0. Within groups ? ? ? Total ? ?
Chapter5: Decimals
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Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations.
| Site I | Site II | Site III | Site IV |
| 15 | 13 | 38 | 15 |
| 22 | 2 | 20 | 21 |
| 4 | 31 | 15 | 13 |
| 15 | 7 | 44 | 34 |
| 17 | 23 | 12 | |
| 11 | 12 |
Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.
(a) What is the level of significance?
(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)
Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.)
Find the value of the sample F statistic. (Use 3 decimal places.)
What are the degrees of freedom?
?(numerator)
?(denominator)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
| SSTOT | = | |
| SSBET | = | |
| SSW | = |
Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.)
| dfBET | = | |
| dfW | = | |
| MSBET | = | |
| MSW | = |
Find the value of the sample F statistic. (Use 3 decimal places.)
What are the degrees of freedom?
?(numerator)
?(denominator)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
(f) Make a summary table for your ANOVA test.
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
MS | F Ratio |
P Value | Test Decision |
| Between groups | ? | ? | ? | ? | ? | Do not reject H0. |
| Within groups | ? | ? | ? | |||
| Total | ? | ? |
Expert Solution
Step 1
I am using Excel and the command is as follows
Data > Data Analysis > Anova : single factor > select the data > ok
==================================================
| Anova: Single Factor | ||||
| SUMMARY | ||||
| Groups | Count | Sum | Average | Variance |
| Site I | 5 | 73 | 14.6 | 43.3 |
| Site II | 6 | 87 | 14.5 | 114.3 |
| Site III | 4 | 117 | 29.25 | 194.25 |
| Site IV | 6 | 107 | 17.83333 | 74.16667 |
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