#1 / 20 Which of the following variables are best thought of as continuous, which discrete? Indicate your choice for each by checking the appropriate column. Variable (a) The cranial capacity (space inside the skull) of a human skull Discrete Continuous (b) The body weight of a preschool child (c) The number of children in a household (d) The length of the arm of a heavyweight boxer Question #2 / 20 The stemandleaf display below gives the test scores for the students in Prof. Yang's management class. Use the display to answer the following questions. Test scores Key: means a score of . (a) What was the lowest score overall? (b) What was the highest score in the 80s? (c) How many students scored in the 90s? Question #4 / 20 The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens' answers. If there are in the community, how many chose Fish or Dogs? citizens Hamsters 6% Snakes 10% Cats 24% Birds 21% Dogs 25% Fish 14% Question #6 / 20 Adults who are being tested for dementia are asked to perform mental tasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by normal (nondemented) adults: 19, 11, 15, 12, 18, 25, 13, 22 (a) What is the median of this data set? If your answer is not an integer, round your answer to at least one decimal place. (b) What is the mean of this data set? If your answer is not an integer, round your answer to at least one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes: , Question #15/ 20 Of the people who fished at Clearwater Park today, had a fishing license, and did not. Of the people who fished at Mountain View Park today, not. (No one fished at both parks.) had a license, and did Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license? Do not round your answer. Question #16 / 20 Ed's Tires and Brakes has two locations, one on the northwest side of town and one on the southeast side of town. At both locations are performed routine tire repairs and rotations, as well as expensive brake repairs. This past week, of the cars serviced at Ed's were serviced at the northwest location, while of the cars were serviced at the southeast location. (No car was serviced at both locations.) Brake repairs were more typical at the northwest location than at the southeast location: of the cars at the northwest location required brake repairs, while location required brake repairs. Let of the cars at the southeast denote the event that a randomly chosen car (taken to Ed's in the past week) was serviced at the northwest location and denote the event that a randomly chosen car was serviced at the southeast location. Let denote the event that a randomly chosen car required brake repairs and denote the event that a randomly chosen car did not require brake repairs. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. =P B N 0.5 =P N B =P N 0.6 =P N B =P B N =P B N =P N B =P N =P N B =P B N 0.65 What is the probability that a randomly chosen car did not require brake repairs? Question #17 / 20 An employer interviews people for computer programming positions in a company, and of the people are men. If all are qualified, in how many ways can the employer fill the computer programming positions if exactly are men? Question #19 / 20 A survey of a sample of people is conducted. The survey's respondents are classified according to their political affiliation and their opinion on a bill. The results are given in the contingency table below. Opinion on the bill In favor of Opposed to Indifferent to Democrat 50 41 22 Political affiliation Republican 46 24 31 Independent 49 18 22 What is the relative frequency of respondents who are in favor of the bill? Round your answer to at least two decimal places. Question #20 / 20 A department store is holding a drawing to give free shopping sprees to two lucky customers. There are customers who have entered the drawing: live in the town of Gaston, live in Pike, and live in Wells. In the drawing, the first customer will be selected at random, and then the second customer will be selected at random from the remaining customers. What is the probability that both customers selected are Gaston residents? Report your answer as an exact fraction. From the time of early studies by Sir Francis Galton in the late nineteenth century linking it with mental ability, the cranial capacity of the human skull has played an important role in arguments about IQ, racial differences, and evolution, sometimes with serious consequences. (See, for example, S.J. Gould, "The Mismeasure of Man," .) Suppose that the mean cranial capacity measurement for modern, adult males is cc (cubic centimeters) and that the standard deviation is cc. Complete the following statements about the distribution of cranial capacity measurements for modern, adult males. (a) According to Chebyshev's theorem, at least of the measurements lie between 281 cc and 1943 ? cc. (b) According to Chebyshev's theorem, at least of the measurements lie between 558 cc and 1666 ? cc. (c) Suppose that the distribution is bellshaped. According to the empirical rule, approximately of the ? measurements lie between 558 cc and 1666 cc. (d) Suppose that the distribution is bellshaped. According to the empirical rule, approximately 68% of the measurements lie between cc and cc . \f\f