Statistics questions

3 Statistics questions need an answer.

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ISSCM 241 Business Statistics

HOMEWORK ASSIGNMENT 2 – Summarizing Data

name: chang liu(Zacks) Date: Feb 3, 2021

Exercises

Exercise 1 – Histograms vs. box plots (2 points).
Compare the two plots below. What characteristics of the distribution are apparent in the histogram and not in the box plot? What characteristics are apparent in the box plot but not in the histogram?

Exercise 2 -Views on immigration (4 points).
910 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below.

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a. What percent of these Tampa, FL voters identify themselves as conservatives?
b. What percent of these Tampa, FL voters are in favor of the citizenship option?
c. What percent of these Tampa, FL voters who identify themselves as conservatives are also in favor of the citizenship option? What percent of moderates share this view? What percent of liberals share this view?

Exercise 3 -Marathon winners (4 points).
The histogram and box plots below show the distribution of finishing times for male and female winners of the New York Marathon between 1970 and 1999.

a. What features of the distribution are apparent in the histogram and not the box plot? What features are apparent in the box plot but not in the histogram?
b. What may be the reason for the bimodal distribution? Explain.
c. Compare the distribution of marathon times for men and women based on the box plot shown below.

d. The time series plot shown below is another way to look at these data. Describe what is visible in this plot but not in the others.

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