HOMEWORK 5 Answer the questions neatly and in order. Use complete sentences where appropriate. Show all work and/or computations. Charts and graphs should be done by hand and roughly to scale. Submit your work as a single pdf file to CanvasflCON. Problem #1 Here is a list of the ages of the first 30 Academy Award For Best Actress winners: 22 37 28 63 32 26 31 27 27 28 3O 26 29 24 38 25 29 4O 3O 35 32 33 29 38 54 24 25 48 41 28 Calculate the mean, median, mode, and range for these data. Problem #2 Think about the shape...Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. Include a rough sketch. a) The number of speeding tickets each student in our biostatistics class has ever had. b) Weights of female babies born at Mercy Hospital in Iowa City over the last two years. c) Ages of people at a Little League game. d) Pulse rates of collegeage males. e) Number of times each face of a fair die shows in 200 tosses. Problem #3 Listed below are randomly selected contributions (in dollars) made to the two presidential candidates in a recent election. All contributions are from the same ZIP code. (The data are from the Huffington Post.) 275 452 300 1000 1000 500 100 1061 Democrat 1200 235 875 2000 350 210 250 Re ublican 50 75 240 302 250 700 350 500 p 1250 1500 500 500 40 221 400 Problem #3 continued a) Calculate the mean and median contribution for the Democrat. b) Calculate the mean and median contribution for the Republican. c) The total number of contributions received by the Democrat was 66. Estimate the total dollars received by this candidate. d) The total number of contributions received by the Republican was 20. Estimate the total dollars received by this candidate. Problem #4 The histogram displays the sugar content (as a percent of weight) of 49 brands of breakfast cereals. Recall: Breakfast is the most important meal of the day! Sugar Content #ofCemam D I l 41 I O 8 16 24 32 40 48 56 64 Sugar (%) a) Write a few sentences describing this distribution. Be sure to include context (the topic of the information), information about the shape, information about the location of the data (i.e. \"center\"), something about the spread, and mention anything unusual about the distribution. b) What do you think might account for this shape? Problem #5 The following data sets give the driving speeds (in mph) of the first nine cars to pass through a school zone and the first nine cars to pass through a downtown intersection. School 20 18 23 24 19 18 17 24 25 Downtown 29 3'1 35 24 31 26 36 31 28 a) Find the mean, median, and range for each of the two data sets. b) Compute the fivenumber summary and draw a boxplot for each of the data sets. Use the same number line for both boxplots so that they can be easily compared. 0) Compare the two data sets. Compare the centers and spreads, refer to your boxplots for evidence of your observations