Asurvey was conducted on the budget for the federal government. Out of those who participated in the survey, 42% said to increase spending, 14% said to decrease spending, 28% said to keep spending the same, and 16% either had no opinion or refused to answer. a. Sketch a bar chart to display the survey results. b. Which is easier to sketch relatively accurately, a pie chart or a bar chart? 5. What is the advantage of using a graph to summarize the results instead of merely stating percentages for each response? a. Choose the correct bar chart below, where those who wanted to increase spending is shown in blue (leftmost bar), decrease spending in red (second from left), keep the spending the same in green (second from right), and no opinion in yellow (rightmost bar). ' .' C. Survey Results Survey Results Survey Results 60 60 60 E 40 E 40 E 40 m a) a) 2 2 e m m a: |1 ll 20 ll 20 20 _| O O O b. Choose the correct answer below. Pie chart Bar chart :2. Choose the correct response below. A. Viewers get a better sense of the data when they can see the sizes of the various categories. . Viewers can better ask questions when they have a graph to reference. C. The graph can summarize the data better than merely stating percentages by associating a shape to the various categories. . Viewers get a better sense of the data when they can associate a number with the various categories. a. Explain the difference between categorical and quantitative variables. b. Give an example of a categorcal variable. c. Give an example of a quantitative variable. . . . a. What is the difference between categorical and quantitative variables? A. A categorical variable is any characteristic observed in a study. A quantitative variable is the numerical value associated with each characteristic. O B. A variable is called categorical if each observation is measured numerically. A variable is called quantitative if observations on it represent different magnitudes of the variable. O C. A variable is called categorical if each observation belongs to one of a set of categories. A variable is called quantitative if observations on it can be placed into one singular categorical group. O D. A variable is called categorical if each observation belongs to one of a set of categories. A variable is called quantitative if observations on it take numerical values that represent different magnitudes of the variable. b. Give an example of a categorcal variable. Select all that apply. A. Type of residence B. Gender [ c. Height D. GPA c. Give an example of a quantitative variable. Select all that apply. A. Sex B. Weight O c. Age D. Education levelFor the dot plot on the right, determine whether the mean is greater than, less than, or equal to the median. Justify your answer. Q Q Which of the following is correct? " , A. The mean is greater than the median because the dot plot is skewed right. " , B. The mean is less than the median because the dot plot is skewed right. C. The mean is greater than the median because the dot plot is skewed left. D. The mean is equal to the median because the dot plot is symmetrical. E. The mean is less than the median because the dot plot is symmetrical. ,. F. The mean is equal to the median because the dot plot is skewed left. A highly selective boarding school will only admit students who place at least 2 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 20. What is the minimum score that an applicant must make on the test to be accepted? The minimum score that an applicant must make on the test to be accepted is One year a survey asked a group of people from a certain country the following question, "How many pets do you have in your house?" Of the 897 people who responded, 4% reported having only 1 pet. Identify (a) the sample, (b) the population, and (c) the statistic reported. (a) What is the sample for this survey? t - A. The sample is the 897 people who responded. t B. The sample is the people in the particular country who did not respond. t C. The sample is the public in the particular country, s D. The sample is the 4% who reported having only one pet. (b) What is the population for this survey? . The population is the public in the particular country. . The population is all of the people in the world. . The population is the 897 people who responded. . The population is the 4% who reported having only 1 pet. (c) What is the statistic reported for this survey? . The statistic reported is the percentage of respondents who reported having only 1 pet (4%). . The statistic reported is the number of people who responded 897. . The statistic reported is the number of pets. . The statistic reported is the percentage of respondents who reported having more than 1 pet. Sixty people with stiff necks are randomly divided into two groups, One group is treated weekly with relaxing music and an exercise regimen. The other is treated weekly with exactly the same exercise regimen, but no relaxing music After one year, both groups are questioned about their stiff necksi a. Identify the response variable and the explanatory variable. b. Was this an observational study or an experiment? Explain why. a. The response variable is V and the explanatory variable is V b. Choose the correct description of the study. i:.' A. The study is an experiment because the researchers cannot control the response variable after 1 year, . The study is an observational study because the researchers cannot control the response variable after 1 year. . The study is an observational study because the researchers only observe values of the response and explanatory variables . The study is an experiment because the researchers assign subjects to certain experimental conditions and observe the outcomes on the response variable. able is and the explanatory variab t descr an expe riable after 1 year an obse whether or not the person listened to relaxing music onse variable afte In obse the level of neck stiffness the response and in expe rimental condition