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#11, 15a, 16 (a & b) ,21, 23-27, 29, 33, 37, 38, 41-43 Section 1.1 Exercises 27 (b) What percent of subjects who received the
#11, 15a, 16 (a & b) ,21, 23-27, 29, 33, 37, 38, 41-43
Section 1.1 Exercises 27 (b) What percent of subjects who received the "smashed 32. Python eggs Refer to Exercise 26. into" treatment said they did not see broken glass at the accident? (a) Of the eggs that hatched, what proportion were randomly assigned to hot water? 28. Superpower Refer to Exercise 24. (b) Of the eggs that were randomly assigned to hot water, (a) What proportion of students in the sample who prefer what percent hatched? invisibility as their superpower are from the United States? (c) The mosaic plot displays the distribution of hatching status by water temperature. Describe what this graph (b) What percent of students in the sample who are from reveals about the association between these two the United Kingdom prefer superstrength as their variables for the python eggs in this experiment. superpower? 100 29. A smash or a hit Refer to Exercise 23. 90 Hatched? pg 20 80 No (a) Find the distribution of responses about whether there 70 - Yes was broken glass at the accident for each of the three 60 treatment groups. Make a segmented bar graph to Relative frequency (%) 50 compare these distributions. 40 - (b) Describe what the graph in part (a) reveals about the 30 20 association between response about broken glass at the 10 - accident and treatment received for the subjects in the study. Cold Neutral Hot Water temperature 30. Superpower Refer to Exercise 24. 33. Far from home A survey asked first-year college (a) Find the distribution of superpower preference for students, "How many miles is this college from your the students in the sample from each country (i.e., permanent home?" Students had to choose from the the United States and the United Kingdom). Make a following options: 5 or fewer, 6 to 10, 1 1 to 50, 51 to segmented bar graph to compare these distributions. 100, 101 to 500, or more than 500. The side-by-side bar (b) Describe what the graph in part (a) reveals about the graph shows the percentage of students at public and association between country of origin and superpower private 4-year colleges who chose each option. Write preference for the students in the sample. a few sentences comparing the distributions of distance from home for students from private and public 4-year 31. Body image Refer to Exercise 25. colleges who completed the survey. (a) Of the respondents who felt that their body weight was about right, what proportion were female? Type of university 35 Private Public (b) Of the female respondents, what percent felt that their 30 body weight was about right? 25 (c) The mosaic plot displays the distribution of perceived 20 - body image by gender. Describe what this graph reveals about the association between these two variables for 15 the 1200 college students in the sample. 10 100 T S. 90 Body image 80 - Underweight 5 or less 6 to 1 500 11 to 50 51 to 100 101 to 500 5 or less 70 - Over 500 6 to 10 11 to 50 51 to 100 Overweight 101 to 500 60 - About right Relative frequency (%) 50 - Distance from home (mi) 40 - 30 - 20 - 10 - 0 Female Male GenderCHAPTER 1 DATA ANALYSIS 26 (a) What proportion of students in the sample are from the United States? the misleading nature of its graph, the network posted a (b) Find the distribution of superpower preference for the corrected version.) students in the sample using relative frequencies. 63 - (c) What percent of students in the sample are from 62 - the United Kingdom and prefer telepathy as their 61 - superpower preference ? 59 - 25. Body image A random sample of 1200 U.S. college 58 - students was asked, "What is your perception of your our 57 - body? Do you feel that you are overweight, underweight 56 - or about right?" The two-way table summarizes the data 55 - on perceived body image by gender. 16 54 - Gender 53 _ Democrats Republicans Independents Female Male pg 2 Total 23. A smash or a hit? Researchers asked 150 subjects to About right 560 295 855 pg 15 recall the details of a car accident they watched on Overweigh 163 72 235 video. Fifty subjects were randomly assigned to be asked, Body image Underweight 37 73 "About how fast were the cars going when they smashed 110 into each other?" For another 50 randomly assigned Total 760 440 1200 subjects, the words "smashed into" were replaced with "hit." The remaining 50 subjects- the control group- were not asked to estimate speed. A week later, (a) What percent of respondents feel that their body weight all subjects were asked if they saw any broken glass at is about right? the accident (there wasn't any). The table shows each group's response to the broken glass question. 14 b) What proportion of the sample is female? Treatment (c) What percent of respondents are males and feel that "Smashed into" " Hit " Control they are overweight or underweight? Yes 16 6 26. Python eggs How is the hatching of water python eggs Response No 34 43 44 influenced by the temperature of the snake's nest? Researchers randomly assigned newly laid eggs to one (a) What proportion of subjects were given the control of three water temperatures: hot, neutral, or cold. Hot treatment? duplicates the extra warmth provided by the mother (b) Find the distribution of responses about whether there python, and cold duplicates the absence of the mother. was broken glass at the accident for the subjects in this The two-way table summarizes the data on whether or study using relative frequencies. not the eggs hatched. 17 (c) What percent of the subjects were given the "smashed into" Water temperature treatment and said they saw broken glass at the accident? Cold Neutral Hot 24. Superpowers A total of 415 children from the United Total Yes Kingdom and the United States who completed a Hatched? 16 38 75 129 No survey in a recent year were randomly selected. Each 11 18 29 58 student's country of origin was recorded along with Total 27 56 104 187 which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The water ? (a) What percent of eggs were randomly assigned to hot data are summarized in the following table. 15 (b) What proportion of eggs in the study hatched? Country U . K. U . S . (c) What percent of eggs in the study were randomly Fly 54 45 assigned to cold or neutral water and hatched? Freeze time 52 44 Superpower Invisibility pg 17 27. A smash or a hit Refer to Exercise 23. 30 Superstrength 20 23 (a) What proportion of subjects who said they saw Telepathy 44 66 broken glass at the accident received the "hit" treatment?CHAPTER 1 DATA ANALYSIS 24 Exercises 14. Disc dogs Here is a list of the breeds of dogs that won 16 Section 1.1 the World Canine Disc Championships from 1975 11. Birth days The frequency table summarizes data on through 2016. Make a relative frequency bar graph for pg11 the numbers of babies born on each day of the week in these data. Describe what you see. the United States in a recent week. Mixed breed Australian shepherd Births Whippet Australian shepherd Australian shepherd Day 7374 Whippet Sunday Border collie Australian shepherd Whippet Monday 11,704 Australian shepherd Border collie Tuesday 13, 169 Mixed breed Mixed breed Border collie Mixed breed Wednesday 13,038 Mixed breed Australian shepherd Other purebred Thursday 13,013 Mixed breed Border collie Friday 12,664 Labrador retriever Border collie Border collie 3459 Saturday Mixed breed Border collie Other purebred Mixed breed (a) Identify the individuals in this data set. Australian shepherd Border collie Border collie (b) Make a frequency bar graph to display the data. Mixed breed Border collie Border collie Describe what you see. Mixed breed Australian shepherd Border collie 12. Going up? As of 2015, there were over 75,000 elevators Labrador retriever Border collie Mixed breed in New York City. The frequency table summarizes Labrador retriever Mixed breed Australian shepherd data on the number of elevators of each type. 15. Cool car colors The most popular colors for cars Type Count and light trucks change over time. Silver advanced Passenger elevator 66,602 past green in 2000 to become the most popular color Freight elevator 4140 worldwide, then gave way to shades of white in 2007. Escalator 2663 Here is a relative frequency table that summarizes Dumbwaiter 1143 data on the colors of vehicles sold worldwide in a Sidewalk elevator 943 recent year." Private elevator 252 Percent of Percent of Handicap lift 227 Color vehicles Color vehicles Manlift 73 Black 19 Red 9 Public elevator 45 Blue 6 Silver 14 (a) Identify the individuals in this data set. Brown/beige 5 White 29 b) Make a frequency bar graph to display the data. Gray 12 Yellow/gold 3 Describe what you see. Green Othe 13. Buying cameras The brands of the last 45 digital (a) What percent of vehicles would fall in the "Other" single-lens reflex (SLR) cameras sold on a popular category? Internet auction site are listed here. Make a relative frequency bar graph for these data. Describe what (b) Make a bar graph to display the data. Describe what you see. you see. Canon Sony Canon Nikon Fujifilm (c) Would it be appropriate to make a pie chart of these Nikon Canon Sony Canon Canon data? Explain. Nikor Canon Nikon Canon Canon Canon Nikon Fujifilm Canon Nikon Nikon Canon Canor Canon Canon Olympus Canon Canon Canor Nikon Olympus Sony Canor Canon Sony Canon Nikon Sony Canon Fujifilm Nikon Canon Nikon Canon Sony30 CHAPTER 1 DATA ANALYSIS hotel. The following table displays data about hotel 43. The following partially completed two-way table shows options. Identify the individuals and variable the marginal distributions of gender and handedness this data set. Classify each variable as categorical or for a sample of 100 high school students. quantitative. Distance Gender Exercise Internet Restau- to site Room Room Male Female Total rants mi) rate Dominant Right 90 Hotel Pool room? ($/day) service? (S/day 0.00 8.2 hand Left Comfort Out Total 40 60 100 Inn In Y 0.00 1 B.3 V Fairfield 110 If there is no association between gender and Inn & handedness for the members of the sample, which of Suites Y 0.00 1 3.7 the following is the correct value of x? Baymont Out (a) 20 (d) 45 Inn & Suites ( b) 30 (e) Impossible to determine Chase Out N 15.00 0 1.5 N 139 ( C) 36 without more information. Suite Hotel Recycle and Review Courtyard In Y 0.00 1 0.2 Dinner 114 44. Hotels (Introduction) A high school lacrosse team is Hilton In Y 10.00 2 0.1 156 planning to go to Buffalo for a three-day tournament.Step by Step Solution
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