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4. Calculate the mean, standard deviation, and standard error of the mean for the following data which represent the average number of paid vacation days

4. Calculate the mean, standard deviation, and standard error of the mean for the following data which represent the average number of paid vacation days given in a year to employees from 11 different countries.

Country

Days

Italy

42

France

37

Germany

35

Austria

35

Brazil

34

Australia

28

United Kingdom

28

Canada

26

Korea

25

Japan

25

Belgium

20

5. Use the data in problem 4 to test the hypothesis that the population mean number of vacation days in the industrialized countries of the world is equal to 25. Set

alpha equal to .05 for a two-tailed test.

  1. State the research question. Is the mean number of vacation days in the industrialized countries of the world is equal to 25?

  1. Using symbols, present the null hypothesis.

  1. Using symbols, present the alternative hypothesis.

  1. Calculate df.

  1. Use Table B to find the critical t values.

  1. Calculate observed t.

  1. Present the statistical decision.

  1. Present a summary statement in the context of the research situation (hint: answer the research question).

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