There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations.
| Site I | Site II | Site III |
| 61 | 25 | 12 |
| 39 | 15 | 32 |
| 22 | 57 | 66 |
| 12 | 67 | 20 |
| 83 | 11 | |
| 52 | 15 | |
| 27 |
Shall we reject or not reject the claim that there is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites? Use a 1% level of significance.
(a) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.)
| SSTOT | = | |
| SSBET | = | |
| SSW | = |
b) Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answers for MSBET, and MSW to two decimal places.)
| d.f.BET | = | |
| d.f.W | = | |
| MSBET | = | |
| MSW | = |
c)Find the value of the sample F statistic. (Round your answer to two decimal places.)
d) What are the degrees of freedom?
| d.f.N | = |
| d.f.D | = |
(e) Find the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.001 < P-value < 0.010
P-value < 0.001
(f) Make a summary table for your ANOVA test. (Round your answers for SS to three decimal places, your MS and F Ratio to two decimal places, and your P-value to four decimal places.)
|
Source of |
Sum of |
Degrees of |
MS |
F |
|
Between groups |
||||
|
Within groups |
||||
|
Total |
||||
applying ANOVA:
| SSTOT | = | 8729.059 |
| SSBET | = | 975.630 |
| SSW | = | 7753.429 |
b)
| d.f.BET | = | 2.00 |
| d.f.W | = | 14.00 |
| MSBET | = | 487.82 |
| MSW | = | 553.82 |
c)F test statistic =0.88
d)
| d.f.N | =2 |
| d.f.D | =14 |
e) P-value > 0.100
f)
| Source of Variation | SS | df | MS | F | P-value |
| Between Groups | 975.630 | 2 | 487.82 | 0.88 | 0.4362 |
| Within Groups | 7753.429 | 14 | 553.82 | ||
| Total | 8729.059 | 16 |
There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pi...
There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 64 26 15 35 17 32 22 54 65 11 68 28 77 16 54 13 20 Shall we reject or not reject the claim that there...
Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 61 26 13 34 10 31 28 55 65 18 63 22 78 15 50 19 26 Shall we reject or not reject the claim that...
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 10 12 32 19 21 5 16 17 8 35 15 19 15 3 42 31 16 29 12 16 18 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)...
A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I...
A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). I II III 49.7 55.3 39.0 43.4 25.0 37.9 32.4 41.7 10.7 27.2 29.8 32.8 38.7 39.5 15.6 36.6 42.4 20.8 (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...
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows...
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 12 15 33 11 21 5 18 16 6 36 16 10 19 7 47 39 14 29 16 10 13 Shall we reject or not reject the claim that there is no difference in the population mean three-circle...
A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I...
#16 A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). I II III 49.5 55.1 39.1 43.5 25.3 37.2 32.9 41.1 10.9 27.9 29.5 32.6 38.1 39.4 15.5 36.2 42.6 20.7 Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies?...
A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). I II III 49.9 55.6 39.4 43.8 24.7 37.5 32.3 41.3 10.9 27.3 29.3 32.3 38.5 39.3 15.2 36.2 42.5 20.6 Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies? Use...