Naples, Florida, hosts a half-marathon (13.1-mile race) in January each year. The event attracts top runners from throughout the United States as well as from around the world. 22 men and 31 women entered the 19-24 age class. Finish times in minutes are as follows. Times are shown in order of finish. Finish Men Women Finish Men Women Finish Men Women 1 67.21 110.94 11 110.96 125.79 21 145.74 138.66 2 68.18 113.13 12 112.14 127.69 22 150.61 140.11 3 68.43 113.56 13 114.81 131.43 23 140.91 4 68.76 113.84 14 115.43 131.78 24 149.09 5 72.78 116.29 15 122.86 132.63 25 149.26 6 89.09 120.24 16 129.89 133.58 26 149.41 7 98.36 123.16 17 130.31 133.94 27 149.66 8 100.43 123.99 18 132.81 135.11 28 155.79 9 102.43 124.39 19 133.71 135.41 29 156.74 10 110.09 124.53 20 140.54 138.48 30 191.18 31 191.19 a. Compare the firstplace finish times for men and women. If the 53 men and women runners had competed as one group, in what place would winner of women's marathon have finished? Round your answers to 2 decimal places. The first place runner in the men’s group finished ____ minutes (- Select your answer -ahead or behind) of the first place runner in the women’s group. b. What is the median time for men and women runners? Compare men and women runners based on their median times. Round your answers to 2 decimal places. Men Women Median Using the median finish times, the men’s group finished____ minutes - (Select your answer -ahead or behind) of the women’s group. c. Provide a five-number summary for both the men and the women. Round your answers to 2 decimal places. Men Women Lowest Time First Quartile Median Third Quartile Highest Time d. Are there outliers in either group? If data contain outliers enter the value. If there no outliers leave answer blank. If there is more than one value, separate your answers with commas (to 2 decimals). Outliers in the men's group. Outliers in the women's group. e. Which of the following box plots accurately displays the data set? A. B. C. D. - Select your answer -ABCDItem 19 Did men or women have the most variation in finish times? Explain. The box plots show the -( Select your answer -men or women) runners with the lower variation in finish times. The interquartile ranges of (to 2 decimals) minutes for men and (to 2 decimals) minutes for women support this conclusion.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Naples, Florida, hosts a half-marathon (13.1-mile race) in January each year. The event attracts top runners from throughout the United States as well as from around the world. 22 men and 31 women entered the 19-24 age class. Finish times in minutes are as follows. Times are shown in order of finish.
a. Compare the firstplace finish times for men and women. If the 53 men and women runners had competed as one group, in what place would winner of women's marathon have finished? Round your answers to 2 decimal places. The first place runner in the men’s group finished ____ minutes (- Select your answer -ahead or behind) of the first place runner in the women’s group. b. What is the
Using the median finish times, the men’s group finished____ minutes - (Select your answer -ahead or behind) of the women’s group. c. Provide a five-number summary for both the men and the women. Round your answers to 2 decimal places.
d. Are there outliers in either group? If data contain outliers enter the value. If there no outliers leave answer blank. If there is more than one value, separate your answers with commas (to 2 decimals). Outliers in the men's group.
Outliers in the women's group.
e. Which of the following box plots accurately displays the data set?
- Select your answer -ABCDItem 19 Did men or women have the most variation in finish times? Explain. The box plots show the -( Select your answer -men or women) runners with the lower variation in finish times. The |
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