SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
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1 Exam One (Because of snow, section 4. was postponed this year) Read these directions carefully. This is a test, not a race--too many students do not take enough time on the first test. Each problem is worth four points. You may choose exactly one multiple--choice question to omit by writing ʺomitʺ in the answer blank. If you do not omit any, or omit more than one, all will be graded. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine whether the numerical value is a parameter or a statistic. Explain your reasoning. 1) The average salary of all assembly-line employees at a certain car manufacturer is $,000 Provide an appropriate response. 2) Define continuous and discrete data and give an example of each. ) The frequency table below shows the number of days off in a given year for 0 police detectives. Days off Frequency Construct a histogram. Use the class midpoints for the horizontal scale. Does the result appear to be a normal distribution? Why or why not? 1
2 4) The graph below shows the number of car accidents occurring in one city in each of the years 2001 through The number of accidents dropped in 200 after a new speed limit was imposed. Does the graph distort the data? How would you redesign the graph to be less misleading? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the data setʹs level of measurement. 5) list of zip codes for Chicago A) interval B) ratio C) nominal D) ordinal 5) 6) the final grades (A, B, C, D, and F) for students in a statistics class A) interval B) nominal C) ordinal D) ratio 6) 7) temperatures of 22 selected refrigerators A) ratio B) nominal C) interval D) ordinal 7) Find the mean of the data summarized in the given frequency distribution. 8) The test scores of 40 students are summarized in the frequency distribution below. Find the mean score. 8) Score Students A) 7.5 B) 66.2 C) 69.8 D) 74.5 Find the indicated measure. 9) The weights (in pounds) of 0 newborn babies are listed below. Find P A) 6.1 lb B) 4.8 lb C) 6.0 lb D) 5.9 lb 9) 2
3 Find the midrange for the given sample data. 10) A) 25 B) 5.5 C) 61.5 D) ) Find the variance for the given data. Round your answer to one more decimal place than the original data. 11) A) 64.6 B) 71.7 C) 51.8 D) ) Provide an appropriate response. 12) In a survey of college students, 88 said that they have cheated on an exam and 179 said that they have not. If one college student is selected at random, find the probability that the student has cheated on an exam. A) B) C) D) ) Solve the problem. Round results to the nearest hundredth. 1) The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The teamʹs center is 6.9 feet tall. Find the centerʹs z score. Is his score unusual? A) 4.5, yes B) 4, no C).8, no D) 4.95, yes 1) Use the empirical rule to solve the problem. 14) At one college, GPAʹs are normally distributed with a mean of and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.4 and.6? A) 99.7% B) 84.1% C) 95% D) 68% 14) Answer the question. 15) What is the probability of an impossible event? A) 1 B) -1 C) 0 D) ) Estimate the probability of the event. 16) Of 122 people who came into a blood bank to give blood, 97 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure. A) 0.29 B) 0.22 C) D) ) Express the indicated degree of likelihood as a probability value. 17) ʺYou have one chance in ten of winning the race.ʺ A) 1 B) 0.90 C) 0.5 D) )
4 Find the indicated probability. 18) Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 85 7 Subject does not have the disease If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they donʹt)? What does this probability suggest about the accuracy of the test? A) ; The probability of this error is low so the test is fairly accurate. B) 0.155; The probability of this error is high so the test is not very accurate. C) 0.10; The probability of this error is high so the test is not very accurate. D) 0.414; The probability of this error is high so the test is not very accurate. 18) 19) A bag contains 6 red marbles, blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue? A) 1 B) 1 C) D) ) Find the five-number summary for the given data. 20) The test scores of 15 students are listed below. 20) A) 40, 55, 71, 87, 95 C) 40, 55, 69, 87, 95 B) 40, 49, 69, 90, 95 D) 40, 55, 71, 87, 95 Find the mean of the data. 21) John liked to order the all-you-can-eat shrimp at his favorite restaurant. Here are the number of shrimp he ate during his last five visits to the restaurant. 21) 19, 16, 17, 19, 20 A) 22.8 shrimp B) 18.2 shrimp C) 19 shrimp D) 17 shrimp E) 20 shrimp Solve the problem. 22) Here are the commutes (in miles) for a group of six employees. Find the standard deviation. 22) A) B) C) 2.1 D) 9.27 E)
5 Provide an appropriate response. 2) For the stem-and-leaf plot below, find the range of the data set. 2) Key: 2 7 = A) 42 B) C) 1 D) 11 24) The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. 24) A) C) % % % % % % % % % % B) D) % % % % % % % % % % Solve the problem. 25) A small company employs a supervisor at $1400 a week, an inventory manager at $800 a week, 8 stock boys at $400 a week, and 6 drivers at $700 a week. Which measure of center best describes a typical wage at this company, the mode at $400, the mean at $600 or the median at $550? 25) A) Mode, because the data is nominal. B) Mean, because the distribution is symmetric. C) Median, because the salaries have outlier(s). D) Midrange, because the distribution is skewed to the left. E) Marbleburgburg, because it sounds kind of funny. 5
6 Answer Key Testname: 2016 SPRING TEST 1 1) It describes a parameter because the $,000 is based on all the workers at the car manufacturer. 2) Continuous numerical data result from infinitely many possible values that can be associated with points on a continuous scale so that there are no gaps or interruptions. Discrete data result from either a finite number of possible values or a countable number of possible values. Examples will vary. ) The distribution does not appear to be normal. It is not bell-shaped and it is not symmetric. 4) The graph distorts the data because the the vertical scale starts at 60 rather than 0, giving the impression of a large difference in the number of accidents, when actually the number of accidents only varies from 90 to 120. To make the graph less misleading, change the vertical scale so that it begins at 0 and increases in increments of 20. 5) C 6) C 7) C 8) A 9) A 10) C 11) D 12) A 1) A 14) D 15) C 16) B 17) D 18) C 19) C 20) C 21) B 22) D 2) C 24) B 25) C 6
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