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It is very costly and time consuming to Import and Export. As part of an initial

ID: 3375241 • Letter: I

Question

It is very costly and time consuming to Import and Export. As part of an initial investigation exploring foreign markets entry into 10 different countries in four (4) global regions. The cost to EXPORT sea cargo in these countries is seen below:

               Is there evidence, at ? = 0.05 level of significance of a difference in the mean cost of EXPORTING across the global regions?

1. Calculate the MSA (Mean squares among groups)

2. Calculate the MSW (Mean square between between groups)

3. Calculate the value of the Fstat

4. Look at the F tables and estimate the F critical

Country Region Cost to export (US$ per container) Cost to import (US$ per container) Cambodia East Asia & Pacific 755 900 China East Asia & Pacific 580 615 Hong Kong SAR, China East Asia & Pacific 575 565 Indonesia East Asia & Pacific 644 660 Malaysia East Asia & Pacific 435 420 Philippines East Asia & Pacific 585 660 Singapore East Asia & Pacific 456 439 Taiwan, China East Asia & Pacific 655 720 Thailand East Asia & Pacific 585 750 Vietnam East Asia & Pacific 610 600 Belarus Eastern Europe & Central Asia 1,510 2,315 Bulgaria Eastern Europe & Central Asia 1,551 1,626 Cyprus Eastern Europe & Central Asia 790 900 Lithuania Eastern Europe & Central Asia 825 980 Macedonia, FYR Eastern Europe & Central Asia 1,376 1,380 Montenegro Eastern Europe & Central Asia 855 915 Romania Eastern Europe & Central Asia 1,485 1,495 Russian Federation Eastern Europe & Central Asia 2,820 2,920 Turkey Eastern Europe & Central Asia 990 1,235 Ukraine Eastern Europe & Central Asia 1,865 2,155 Argentina Latin American & Carribbean 1,650 2,260 Belize Latin American & Carribbean 1,355 1,600 Brazil Latin American & Carribbean 2,215 2,275 Chile Latin American & Carribbean 980 965 Colombia Latin American & Carribbean 2,255 2,830 Costa Rica Latin American & Carribbean 1,030 1,020 Jamaica Latin American & Carribbean 1,500 1,560 Mexico Latin American & Carribbean 1,450 1,780 Peru Latin American & Carribbean 890 880 Venezuela, RB Latin American & Carribbean 2,590 2,868 Algeria Middle East & North Africa 1,260 1,330 Bahrain Middle East & North Africa 955 995 Egypt, Arab Rep. Middle East & North Africa 625 755 Iraq Middle East & North Africa 3,550 3,650 Jordan Middle East & North Africa 825 1,335 Kuwait Middle East & North Africa 1,085 1,242 Lebanon Middle East & North Africa 1,080 1,365 Qatar Middle East & North Africa 885 1,033 Saudi Arabia Middle East & North Africa 935 1,054 Syrian Arab Republic Middle East & North Africa 1,190 1,625

Explanation / Answer

one way anova

H0:All the regions group means are equal

H1:Atleast one of the group means are different

alpha=0.05

solution1:

MSA=

1906345

Solution2:

MSW=

357061.2

sOLUTION3:

F=

5.338986

Solution4:

Fcrit=

since p=0.0038

p<0.05

Reject Null hyppothesis

we can conclude statisticaly at 5% level of signifcance that there is significant difference in the mean cost of EXPORTING across the global regions

Anova: Single Factor SUMMARY Groups Count Sum Average Variance East Asia & Pacific 10 5880 588 8564.667 Eastern Europe & Central Asia 10 14067 1406.7 382525.3 Latin American & Carribbean 10 15915 1591.5 343894.7 Middle East & North Africa 10 12390 1239 693260 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 5719034 3 1906345 5.338986 0.0038 2.866266 Within Groups 12854203 36 357061.2 Total 18573236 39
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