McClure



CorpName_____________________________ Date: ________Math 219 – Version AExam 1 – CH 1 - 2Give it your very best!1. MATCH the name of the sampling method descriptions given.______ number every name on a list and use a random number generator to select the first 50 numbers.______ divide the population by age and select 5 people from each age.______ call every 15th phone number on every 5th page of the phone book.______ randomly select two tables in the cafeteria and survey all the people at those two tables.______ ask all the students in your math classVolunteer StratifiedSimple RandomClusterConvenienceSystematic2. Consider the table below describing a data set of folks who have registered to volunteer at a public school.NameYear bornPhone numberNumber of siblingsAnnual incomeJenny19758929223060000Ted19848675309322500...............MUTIPLE CHOICE: Which of the variables are categorical (qualitative) and which are numerical (quantitative)?Categorical: Name, Phone number. Quantitative: Year born, Number of siblings, Annual income.Categorical: Name. Quantitative: Year born, Phone number, Number of siblings, Annual income.Categorical: Name, Phone number, Number of Siblings. Quantitative: Year born, Annual income.All are categorical. None are numerical._________________________________________________________________________________________3. MUTIPLE CHOICE Ruben recorded the heights of all the players on SAC’s basket basketball team, and found that the distribution was skewed to the left what does this mean?a.There are many short players and a fewer short players.b.Most of the team are average height with a few players who are tall and a few that are short. c.There are many tall players and a few short players.d.Ruben is confused; height cannot be skewed since height is a quantitative variable. 4. MULTIPLE CHOICE: The size of eggs in the United States is determined by the total weight of a dozen eggs. If a carton of 12 large eggs weighs 24 ounces, must each egg in the carton weigh 2 ounces?No, eggs vary in size, and some may weigh less than 2 ounces, while others may weigh more than 2 ounces.No, six eggs will each weigh less than 2 ounces, and the other six eggs will each weigh more than 2 ounces.Yes, if each egg weighs 2 ounces then 12 eggs weigh 24 ounces.Yes, since the total weight is 24 ounces, the mean weight is 2 ounces. _________________________________________________________________________________5. MULTIPLE CHOICE: Jason is the statistician for a summer basketball league. After eleven games he notes that the top three scorers in the league have about the same mean number of points per game (12.7, 12.7, and 12.6). He produces the dotplots of the points scored in eleven games for each player shown below.Which of the following best describes the additional information, if any, provided by the dotplots about the players’ performances?Player 1’s scores have a smaller median and are more variable than the othersPlayer 1 always scores more points per game than either of the other two players.Player 2’s scores are least variable, and Player 1’s scores are most variable.Player 3 is the best player out of the three players.The dotplots do not provide any additional information._________________________________________________________________________________6. MULTIPLE CHOICE: Three data sets are summarized in the histograms below. 4576573762900 Which graph would have the smallest standard deviation?Data set Ab. Data set Bc. Data Set Cd. The all have the same7. Match: Which type of graph would be the best graph if you are given the following data?______ A list that shows the ages of 25 dogs available for adoption. _______ A survey that ask which of the following you own a car, bike, or roller skates._______ A summary of the grades on this test which includes only the min, 1st quartile, median, 3rd quartile, and max. _______ A relative frequency table that summarizes the time spent studying for this exam.PiechartBar GraphHistogramBoxplotDotplot__________________________________________________________________________8. 600 students randomly selected from a local college for a survey. They were asked how much they spend on gas each week. The researcher found a sample mean amount spent on gas was $27.56 among the 600 students. Describe the following…the population: the sample: the parameter of interest:the summary statistic found: __________________________________________________________________________9. The following stem-and-leaf plots compare the ages of 30 actors and 30 actresses at the time they won the Oscar award for Best Actor or Actress.ActorsStemsActresses2146667987532213001133444557788877654332210041112966515210601167480What is the age of the oldest Actress to win an Oscar? _______What is the age of the youngest Actor to win an Oscar? _______What does this graph seem to suggest about the age of actors versus actresses who win the top award for acting?10. Barb recorded the color of cars in the town parking lot. She summarized the data in the bar chart below:417195118745 Car Color Car Color236220089535How many cars were there total? What percent of the cars were red?Find the relative frequency of the most popular car.0How many cars were there total? What percent of the cars were red?Find the relative frequency of the most popular car.-4069112468900 -857250380365 Number of Cars Number of Cars________________________________________________________________________________11. Students collected data on height for a sample of male students and a sample of female students at a local college. The heights, in inches, for the male and female students are summarized in the boxplots below.Which two variables are being compared?___________ % of males are taller than 50% of females. Which gender has a greater percentage of individuals between 67 and 75 inches tall? Explain. 4321141207280012. Below are the exam scores on an easy test. 2336800122555What is the best measure of center and spread for the distribution?Describe the center and spread of the distribution in context (don’t do shape or outliers)0What is the best measure of center and spread for the distribution?Describe the center and spread of the distribution in context (don’t do shape or outliers)-220980271145Frequency 00Frequency 13. The contingency table below summarizes health results of subjects who followed the American Heart Associations recommended diets to those who followed a Mediterranean diet long term. Name the 2 variables, identify which is the explanatory and which is the response. Explain.Fill in each cell with the appropriate conditional percentages rounded to the nearest tenth. DietAmerican Heart AssociationMediterraneanOutcomeCancer 15 8Hear Disease 52 22Healthy 239 273What does this study suggest about the association between diet and health?________________________________________________________________________________14. The graph below compares latitude with mean January temperature of various cities in the U.S.-654052700What does each dot on the scatterplot represent?Guess the correlation and explain your estimation. 15. Below is a sample of the nutritional information of items on McDonald’s menu. SandwichGrams of FatCaloriesHamburger9260Cheeseburger13320Quarter Pounder21420Quarter Pounder with Cheese30530Big Mac31560Arch Special31550Arch Special with Bacon34590Crispy Chicken25500Fish Filet28560Grilled Chicken20440Using the table above name two variables that could potentially have a linear relationship. Identify which of the 2 variables is the explanatory variable (independent variable) and which would be the response variable (dependent variable). Is there evidence of a linear relationship between the variables you named above? Explain.If McDonalds introduced another sandwich that had 22 grams of fat, estimate how many calories you would expect the sandwich to have. ................
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