1. Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found. Type of Crust Number Sold Thin crust 280 Thick crust 214 Stuffed crust 153 Pan style 373 Based on this information, of the next 2000 pizzas she sells, how many should she expect to be stuffed crust? Round your answer to the nearest whole number. Do not round any intermediate calculations. 2. Answer the questions below. (a) As part of the U.S. Census, the number of children is reported for each family in the U.S. Which measure gives the most common number of children for a U.S. family? Mean Median Mode (b) In a survey, 9 people reported how many soft drinks they drank in the last month. Here are their responses: 29, 30, 32, 33, 34, 35, 37, 39, 85. Which measure should be used to summarize the data? Mean Median O Mode (c) The 10 members of the dance team each bought new shoes. Here are the prices they paid: $51, $52, $53, $55, $57, $58, $59, $60, $62, $63. Which measure should be used to summarize the data? Mean O Median O Mode13. Shown below are three scatter plots and their lines of best fit. Also shown are three residual plots. Answer the questions that follow. Scatter Plot A Scatter Plot B 10- 10- 9- 7- 9 10 11 9 10 11 Scatter Plot C 10- 9-Residual Plot 1 Residual Plot 2 Which scatter plot matches this residual plot? Which scatter plot matches this residual plot? Scatter Plot A Scatter Plot A Scatter Plot B - Scatter Plot B Scatter Plot C Scatter Plot C What best describes the line of best fit for the scatter plot? What best describes the line of best fit for the scatter plot? Perfect model Perfect model Good (but not perfect) model Good (but not perfect) model Not an appropriate model - Not an appropriate model Residual Plot 3 Which scatter plot matches this residual plot? Scatter Plot A - Scatter Plot B Scatter Plot C What best describes the line of best fit for the scatter plot? - Perfect model - Good (but not perfect] model Not an appropriate model14. An economic forecasting model has been developed for predicting next year's total national retail sales. Of the dozens of economic variables that are known to have an effect on the retail sales, 18 of them (X], X2. .... X1) are selected for use in a multiple regression model. Using 158 years' worth of observations on each of the variables and the retail sales, a multiple regression model is fit to the data. For this model, what are the degrees of freedom (df) for the regression sum of squares, error sum of squares, and total sum of squares? (a) df for the regression sum of squares? (b) of for the error sum of squares? (c) of for the total sum of squares?15. Students at a major university in Southern California are complaining about a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university: Frequency 30- 27 25- 20- 15- 10 12 16 20 24 Commute distance (in miles) Based on the histogram, find the proportion of commute distances in the sample that are greater than or equal to 8 miles. Write your answer as a decimal, and do not round your answer. 16. Methadone is a synthetic drug whose effect on the body is similar to that of morphine and heroin. Methadone has been used to help people control their addictions to these other drugs. Recently, the governor of Florida vetoed a million-dollar appropriation for several Methadone clinics in the state. Had Methadone use gotten out of hand? The following histogram summarizes information from a study of 36 Florida Methadone clinic patients. (Florida's projected mean daily dosage per Methadone clinic patient was about 100 milligrams.) Frequency 12 12- 10 10- 8- 61 50 100 150 200 250 Daily Methadone dosage (in milligrams] N From the histogram, estimate the mean daily Methadone dosage (in milligrams) for the Methadone clinic patients in the study. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.3. The scatter plot shows the average monthly temperature, X, and a family's monthly heating cost, y, for 23 different months. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 25 F. 100 90- BO- Monthly 70- x heating cost 60 (in dollars) 50 40 30 20 10 0 10 90 Average monthly temperature (in "F) (a) Write an approximate equation of the line of best fit. y= (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 25 F.4. Answer the questions below. (a) A financial magazine conducted a survey. It showed that a person with more years of education tends to have a higher salary. What is likely true? O There is no correlation between years of education and salary. There is a correlation between years of education and salary. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between years of education and salary. There is probably also causation. This is because there is an increase in salary with an increase in the years of education. (b) A grocery store collected sales data. It found that a change in price does not imply that people will buy more or less milk. What can we determine from this information? O There is no correlation between price and amount of milk bought. There is a correlation between price and amount of milk bought. However, there is no causation. This is because there is likely a decrease in the amount of milk bought with an increase in the price. There is a correlation between price and amount of milk bought. There may or may not be causation. Further studies would have to be done to determine this. (c) Mr. Aoki studied his students' biology test scores and TV habits. He found that students who watched less TV tended to earn higher scores on the test. What conclusion should he make? There is no correlation between test score and amount of TV watched. There is a correlation between test score and amount of TV watched. There is probably also causation. This is because there is an increase in a student's test score with a decrease in the amount of TV watched. There is a correlation between test score and amount of TV watched. There may or may not be causation. Further studies would have to be done to determine this.5. The test scores of the students in four classes are summarized below. Answer the questions about them. Class A: The mean score is 108 and the range of scores is 44. Class B: The mean score is 109 and the range of scores is 41. Class C: The mean score is 112 and the range of scores is 43. Class D: The mean score is 110 and the range of scores is 49. (a) Based on the information above, which class's scores have the most variability? O Class A O Class B Class C O Class D (b) Based on the information above, which class has the lowest scores on average? O Class A O Class B O Class C O Class D 6. A scientist wants to find the average mass of fish living in a large pond. So she will use the masses of 42 fish from the pond to find the average mass. Answer the questions below. (a) Which unit(s) could be used for the unit of measurement? Check all that apply. Iseconds grams hours kilograms minutes (b) Which of the procedures below would be the best way to find the average mass? O pick 42 fish from a shallow region of the pond and estimate their masses. pick 42 fish from a shallow region of the pond and weigh each of them. O Randomly pick 42 fish from the entire pond and weigh each of them. O Randomly pick 42 fish from the entire pond and estimate their masses.7. The following numbers of people attended the last 11 screenings of a movie. 118, 196, 197, 198, 200, 201, 205, 211, 212, 212, 297 Complete the parts below to identify any outliers. (a) Let Q, be the lower quartile and Q; be the upper quartile of the data set. Find Q, and Q; for the data set. Q1= Q3 (b) Find the interquartile range (IQR) of the data set. IQR = (c) Calculate a lower boundary using Q, - 1.5.IQR. Calculate an upper boundary using Q; + 1.5.IQR. (Note that 1.5.IQR means 1.5 times the IQR.) Lower boundary: Upper boundary: (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, write "None". Outliers:8, A sample of 269 adults is selected. The adults are classified according to voter registration status ("registered" or "not registered"). They are also classified according to preferred source of current events information ("television", "newspapers", "radio", or "internet sites"). The results are given in the contingency table below. Television Newspapers Radio Internet sites Registered 40 25 48 23 Not registered 45 15 47 26 What is the relative frequency of adults in the sample who prefer to obtain their information through internet sites? Round your answer to two decimal places. 9. The joint distribution of two random variables X and Y is tabulated below. Complete the table by filling in the marginal distributions of X and of Y. Y = -4 Y= -3 Y=-2 Y=0 X= -2 0.00 0.08 0.13 0.09 X=-1 0.00 0.06 0.17 0.00 X =1 0.08 0.01 0.09 0.10 X = 3 0.00 0.03 0.02 0.1410. Here are the fuel efficiencies (in mpg) of 12 new cars. 35, 17, 42, 32, 18, 22, 47, 40, 36, 28, 12, 55 What is the percentage of these cars with a fuel efficiency less than 19 mpg? 11. Local parents and their children were invited to the grand opening of a daycare center. Each of the 155 attendees got to spin a wheel to win a prize. The table below summarizes the data on the attendees and their prizes. Pencil | Cup Magnet Parent 21 17 19 Child 33 38 27 Suppose an attendee from the grand opening is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (a) What is the probability that the attendee is a child or won a pencil? (b) What is the probability that the attendee is a parent, given that the attendee won a cup?12. You are the owner of Fast Break, a popular local place that sells drinks, snacks, and sandwiches. For inventory management purposes, you are examining how the weather affects the amount of hot chocolate sold in a day. You are going to gather a random sample of 9 days showing that day's high temperature (denoted by X, in "C) and the amount of hot chocolate sold that day (denoted by ), in liters). You will also note the product X y of the temperature and amount of hot chocolate sold for each day. (These products are written in the row labeled "xy"). (a) Here are the results for your random sample. High temperature, X 21 6 11 16 27 2 30 11 16 (in "C) Amount of hot chocolate sold, y 4 18 10 11 7 14 3 13 6 (in liters) xy 84 108 110 176 189 28 90 143 96 Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. (In the table below, / is the sample size and the symbol E X y means the sum of the values xy.) n: X : Sample correlation coefficient (n): - 0.851 y : Slope (b,): -0.46 Sy: Exy: y-intercept (bo): 16.71 (b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation.(b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation. Regression equation: y = 22- 20- 18- 16- 14- Amount of hot chocolate sold (in liters) 12- 10 High temperature (in *C) (c) Use your regression equation to predict the amount of hot chocolate sold on a day with a high temperature of 20 C. Round your answer to the nearest whole number. Predicted amount of hot chocolate sold: liters