Rec 3B_Boxplots and Stat Crunch

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Ohio State University *

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1430.01

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Statistics

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Feb 20, 2024

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pdf

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STAT 1430 Recitation 3B SD and Boxplots Hot Dog Eating Contest • Log into MyStatLab • Click on the Stat 1430 course • Click on StatCrunch on the left side menu. • Click on “Visit the StatCrunch website ” • Click on “OPEN STATCRUNCH” on the menu bar at the very top. This will open a blank spreadsheet for you to enter data into. • E nter the numbers from the results section of the following WIKI site to create a data set showing the year, gender, and number of Hot Dogs eaten by the Winner of Nathan’s Famous Hot Dog Eating Contest, from 2011-2019. http://en.wikipedia.org/wiki/Nathan's_Hot_Dog_Eating_Contest The first rows of your data set should look like this (click on the top row of the StatCrunch spreadsheet to change variable names): YEAR GENDER # HOT DOGS 2011 M 62 2011 F 40 Questions: 1. Using Statcrunch, find the 5-number summary (STAT/Summary Statistics/Columns) for MEN ONLY. Then do it for the women. Do you see any differences? (Units are number of hotdogs) MEN 5 # Summary: Min:61 Q1:62 Median:69 Q3: 71 Max:74 WOMEN 5 # Summary: Min:31 Q1:36.75 Median:38 Q3:40

STAT 1430 Recitation 3B SD and Boxplots Max:45 Difference ： The number of hot dogs for women is almost always half that of men 2. Make boxplots from your data that are side by side on the same graph that compare the women to the men. Use the directions below: TO MAKE BOXPLOTS USING STATCRUNCH: -Go to GRAPH / BOXPLOT -SELECT COLUMN (variable) to make your boxplot out of (#hotdogs) -GROUP BY: the gender variable -COMPUTE! 3. Interpret the boxplot for men in terms of shape, center, and variability. Use language that a non-statistician would understand. Do the same for the women. The center is the red line in the picture, which is 69; this means that in the ranking, the person in the middle of the pack ate 69 hot dogs over the past eight years, it is so much! And the variability is the distance between two sides of a rectangle, which refers to the Stability of data. The distance is long, so this data set is not very uniform.

STAT 1430 Recitation 3B SD and Boxplots The center is the red line in the picture, which is 38; this means that in the ranking, the person in the middle of the pack ate 38 . This also shows that women have eaten much less than men And the variability is the distance between tw. sides of a rectangle, which refers to the Stability of data. The distance is long, so this data set is Relative stable. 4. Describe the differences between the results of the men vs women by comparing your boxplots. Nathan’s Famous Hot Dog Eating Contest Official Website: http://www.nathansfamous.com/contest STANDARD DEVIATION 5. Suppose at the end of the year everyone at Bob’s restaurant gets a $5.00 raise per hour to their existing wages. How does this raise affect the standard deviation of their wages? a. SD is larger than before b. SD is smaller than before c. SD is same as before 6. Suppose at the end of the year everyone at Bob’s restaurant gets a 5 PERCENT raise per hour to their existing wages. How does this raise affect the standard deviation of their wages? a. SD is larger than before b. SD is smaller than before c. SD is same as before Next 3 problems: The starting salaries (in dollars) of a random sample of all graduates from OSU from the year 1970 were analyzed. The results are shown below.

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