The U.S. Bureau of Labor Statistics publishes data on the hourly compensation costs for production workers in manufacturing for various countries. The latest figures published for Greece show that the average hourly wage for a production worker in manufacturing is $19.58. Suppose the business council of Greece wants to know how consistent this figure is. They randomly select 25 production workers in manufacturing from across the country. The data are as follows:

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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The U.S. Bureau of Labor Statistics publishes data on the hourly compensation costs for production workers in
manufacturing for various countries. The latest figures published for Greece show that the average hourly
wage for a production worker in manufacturing is $19.58. Suppose the business council of Greece wants to
know how consistent this figure is. They randomly select 25 production workers in manufacturing from across
the country. The data are as follows:
18.64, 20.15, 19.83, 18.98, 19.26, 19.62, 20.33,17.94, 19.28,
18.68, 20.58, 20.58, 19.64, 19.66,19.33, 19.23, 20.31, 18.38, 18.07,
19.56, 18.71,19.84, 19.24, 18.20, 19.87
What assumption must you make about the population distribution in order to construct a confidence
interval estimate of the variance for the hourly wages of production workers in manufacturing in Greece?
Do you think that the assumption needed in order to construct the confidence interval is valid?
To help answer the above questions, use R to do the following:
a) Use R to plot a histogram of the data. Add a title to your plot, where the title includes your family name
(e.g., Histogram of "name of variable" (Aslemand)). Copy-and-paste the R commands and output into your
test answer. Explain and justify your answer.
b) Use R to make a Q-Q plot of the data. Add a title to your plot, where the title includes your family name
(e.g., Q-Q plot of "name of variable" (Aslemand)). Copy-and-paste the R commands and output into your test
answer. Explain and justify your answer.
Transcribed Image Text:The U.S. Bureau of Labor Statistics publishes data on the hourly compensation costs for production workers in manufacturing for various countries. The latest figures published for Greece show that the average hourly wage for a production worker in manufacturing is $19.58. Suppose the business council of Greece wants to know how consistent this figure is. They randomly select 25 production workers in manufacturing from across the country. The data are as follows: 18.64, 20.15, 19.83, 18.98, 19.26, 19.62, 20.33,17.94, 19.28, 18.68, 20.58, 20.58, 19.64, 19.66,19.33, 19.23, 20.31, 18.38, 18.07, 19.56, 18.71,19.84, 19.24, 18.20, 19.87 What assumption must you make about the population distribution in order to construct a confidence interval estimate of the variance for the hourly wages of production workers in manufacturing in Greece? Do you think that the assumption needed in order to construct the confidence interval is valid? To help answer the above questions, use R to do the following: a) Use R to plot a histogram of the data. Add a title to your plot, where the title includes your family name (e.g., Histogram of "name of variable" (Aslemand)). Copy-and-paste the R commands and output into your test answer. Explain and justify your answer. b) Use R to make a Q-Q plot of the data. Add a title to your plot, where the title includes your family name (e.g., Q-Q plot of "name of variable" (Aslemand)). Copy-and-paste the R commands and output into your test answer. Explain and justify your answer.
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