Question

In: Statistics and Probability

(Use Excel or SPSS to complete this Assignment A random sample of respondents was drawn from...

(Use Excel or SPSS to complete this Assignment

A random sample of respondents was drawn from three Latin American countries: Nicaragua, Guatemala, and Costa Rica. The variable if interest is the duration (in months) of stay in the United States during a respondent’s first migration to the United States.

Nicaragua: 4, 6, 6, 6, 12, 36, 36, 36, 36, 60, 72, 78, 96, 120, 126, 156, 162, 162, 186, 540
Guatemala: 1, 1, 12, 24, 24, 24, 36, 36, 42, 60, 78, 84, 102, 102, 102, 102,132, 144
Costa Rica: 12, 12, 12, 12, 14, 15, 15, 18, 18, 24, 36, 48, 66, 120, 150, 150, 174, 282, 288

  1. At this point in your efforts, you notice that both Guatemala and Costa Rica have some very low and very high values? Which measure of central tendency is most susceptible to such extreme values?
  2. Given your answers to Questions #5 and #7, you are interested in extending the idea that respondents from Latin American countries that are closer to the United States have a higher mean duration of stay than respondents from Latin American countries that are further away. Which country would you expect to have the lowest mean duration of stay during first U.S. migration?
  3. Which of the three countries has the lowest mean duration? Does this support your idea that respondents from Latin American countries that are closer to the United States have a higher mean duration of stay than respondents from Latin American countries that are further away?
  4. For each country, identify the direction in which (if any) the distribution is skewed? Provide specific evidence using your answers from the previous questions.
  5. Select one country from Question #11 and illustrate your conclusion graphically using the histogram. On your graph, be sure to highlight the mode, median, and the mean.
  6. Construct box-whisker plot for each country separately. Interpret your findings.

Solutions

Expert Solution

measure of central tendency is most susceptible to such extreme values is mode

Guatemala country would have the lowest mean duration of stay during first U.S. migration

Seeing above graph we can see that variablefor costa rica month is positively skewed

Seeing above graph we can see that variablefor guatemala month is skewed

Seeing above graph we can see that variable for nicaragua month is positively skewed

Hope this helps.
Thank You


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