Which of the following data sets has the largest standard deviation? 1, 2, 3, 4, 5 1, 1, 1, 1, 1 1, 1, 3, 5, 5 1, 3, 3, 3, 5Do children diagnosed with attention deficit/hyperactivity disorder (ADHD) have smaller brains than children without this condition? Brain scans were completed for 152 children with ADHD and 139 children of similar age without ADHD. The mean brain size for the 152 children with ADHD was 1059.4 ml with a standard deviation of 117.5 mL. The mean brain size for the 139 children without ADHD was 1104.5 ml with a standard deviation of 111.3 mL. How could you simulate one sample under the null hypothesis? Write the children's brain sizes on 291 cards, shuffle the cards and randomly deal them into two piles of size 152 and 139. Calculate the difference in mean brain size between the two samples. O Write the children's brain sizes on 291 cards, shuffle the cards and randomly deal them into two piles of size 152 and 139. Calculate the difference in standard deviation of brain size between the two samples. O Write the children's ages on 291 cards, shuffle the cards and randomly deal them into two piles of size 152 and 139. Calculate the difference in mean age between the two samples. Take 152 red cards and 139 blue cards, shuffle the cards and randomly deal them into two piles of size 152 and 139. Calculate the difference in proportion of red cards between the two samples.Monthly snowfall (in inches) was measured over several winters in Fort Collins, Colorado. Researchers also recorded whether the measurement was taken in the Early winter (September to December) or Late winter (January to June). Boxplots displaying the distribution of monthly snowfall for each season are below. Early Late O 0 10 20 30 40 50 60 Monthly Snowfall (in) Which of the following sentences correctly interprets the first quartile (Q1) of the distribution of monthly snowfall measurements for the Early season? About 25% of Early season winter months in Fort Collins get less than 9 inches of snow. About 50% of Early season winter months in Fort Collins get less than 9 inches of snow. About 75% of Early season winter months in Fort Collins get less than 9 inches of snow. About 25% of Early season winter months in Fort Collins get more than 38 inches of snow.Twenty college students were asked how many texts they send on a typical day and the results are shown below. 3, 4, 5, 10, 10, 10, 20, 20, 30, 30, 30, 50, 50, 55, 75, 75, 100, 150, 200, 250 (a) Find the five-number summary for this data set. 3, 10, 30, 75, 250 3, 10, 30, 87.5, 250 3, 10, 26.5, 87.5, 250 3, 10.5, 30, 87.5, 250 3, 10.5, 30, 75, 250 (b) Would you say the data set is fairly symmetric, skewed left, or skewed right? Explain. Skewed left. Skewed right. O Fairly symmetric