In: Statistics and Probability
The more costly and time consuming it is to export and import, the more difficult it is for local companies to be competitive and to reach international markets. As part of an initial investigation exploring foreign markets entry, 10 countries were selected from each of four global regions. The cost associated with importing a standardized cargo of goods by sea transport in these countries (in US$ per container) is stored in ForeignMarket2.
a) At the 0.05 level of significance, is there evidence of a difference in the mean cost of importing accross the four global regions?
b) If appropriate, determine which global regions differ in mean cost of importing.
d) Which global region(s) should you consider for foreign market entry? Explain.
Country | RegionN | CosttoexportUS$percontainer | CosttoimportUS$percontainer |
Singapore | 1.00 | 460 | 440 |
Malaysia | 1.00 | 525 | 560 |
Indonesia | 1.00 | 572 | 647 |
Hong Kong SAR, China | 1.00 | 590 | 565 |
Thailand | 1.00 | 595 | 760 |
Vietnam | 1.00 | 610 | 600 |
Taiwan, China | 1.00 | 655 | 720 |
Philippines | 1.00 | 755 | 915 |
Cambodia | 1.00 | 795 | 930 |
China | 1.00 | 823 | 800 |
Lithuania | 2.00 | 750 | 800 |
Cyprus | 2.00 | 865 | 1010 |
Montenegro | 2.00 | 985 | 985 |
Turkey | 2.00 | 990 | 1235 |
Bulgaria | 2.00 | 1375 | 1365 |
Macedonia, FYR | 2.00 | 1376 | 1380 |
Belarus | 2.00 | 1460 | 2265 |
Romania | 2.00 | 1485 | 1495 |
Ukraine | 2.00 | 1880 | 2455 |
Russian Federation | 2.00 | 2401 | 2595 |
Peru | 3.00 | 890 | 1010 |
Chile | 3.00 | 910 | 860 |
Costa Rica | 3.00 | 1020 | 1070 |
Belize | 3.00 | 1355 | 1580 |
Mexico | 3.00 | 1499 | 1888 |
Jamaica | 3.00 | 1580 | 2180 |
Argentina | 3.00 | 1770 | 2320 |
Brazil | 3.00 | 2323 | 2323 |
Colombia | 3.00 | 2355 | 2470 |
Venezuela, RB | 3.00 | 3490 | 3695 |
Egypt, Arab Rep. | 4.00 | 625 | 790 |
Bahrain | 4.00 | 810 | 870 |
Jordan | 4.00 | 825 | 1235 |
Qatar | 4.00 | 927 | 1050 |
Lebanon | 4.00 | 1080 | 1365 |
Kuwait | 4.00 | 1085 | 1250 |
Algeria | 4.00 | 1270 | 1330 |
Saudi Arabia | 4.00 | 1285 | 1309 |
Syrian Arab Republic | 4.00 | 1995 | 2410 |
Iraq | 4.00 | 3550 | 3650 |
a) from the results of anova from r studio ,
p value is 0.00264 which is less than 0.05(level of significance).
Therefore we reject null hypothesis at 5% level of significance . i.e. there is evidence of a difference in the mean cost of importing accross the four global regions.
b)
From the post hoc tukey test p value of pairs 1-2 and 1-3 are less than 0.05(level of significance).
Therefore region 1-2 and 1-3 differs significantly in mean cost of importing.
d) from the above results , we can conclude that region 1 is significantly different from 2,3. The mean cost of importing for the region 1 is significantly less than mean cost of importing of other regions. Therefore we should choose the region 1 for foreign market entry.