Practice Midterm Exam Fall B 2015 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given value is a statistic or a parameter. 1) A sample of 120 employees of a company is selected, and the average age is found to be 37 years. 1) A) Statistic B) Parameter 2) After inspecting all of 55,000 kg of meat stored at the Wurst Sausage Company, it was found that 45,000 kg of the meat was spoiled. A) Statistic B) Parameter 2) Determine whether the given value is from a discrete or continuous data set. 3) The temperature of a cup of coffee is 67.3 F. 3) A) Continuous B) Discrete 4) The number of stories in a Manhattan building is 22. 4) A) Discrete B) Continuous Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 5) The subjects in which college students major. 5) A) Ratio B) Ordinal C) Interval D) Nominal 6) Survey responses of "good, better, best". 6) A) Ordinal B) Nominal C) Ratio D) Interval 7) Salaries of college professors. 7) A) Nominal B) Ratio C) Interval D) Ordinal SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 8) Histograms and Pareto charts are both bar charts. What is the significant difference between the two? 8) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given description corresponds to an observational study or an experiment. ) A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish. A) Observational study B) Experiment 10) A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant. A) Observational study B) Experiment ) 10) 1
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 11) A market researcher selects 500 drivers under 30 years of age and 500 drivers over 30 years of age. 11) A) Random B) Cluster C) Stratified D) Systematic E) Convenience 12) A sample consists of every 4th student from a group of 46 students. 12) A) Systematic B) Stratified C) Convenience D) Cluster E) Random 13) An education researcher randomly selects 48 middle schools and interviews all the teachers at each school. A) Convenience B) Systematic C) Stratified D) Cluster E) Random 13) 2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 14) The frequency table below shows the number of days off in a given year for 30 police detectives. Days off Frequency 0-2 10 3-5 1 6-8 7-11 7 12-14 1 15-17 4 Construct a histogram. Use the class midpoints for the horizontal scale. Does the result appear to be a normal distribution? Why or why not? 14) 15) The histogram below shows the distribution of the assets (in millions of dollars) of 71 companies. Does the distribution appear to be normal? 15) 3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 16) 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. 16) 0-60 4 61-70 10 71-80 12 81-0 4 1-100 5 A) C) Relative 0-60 15.5% 61-70 22.1% 71-80 31.3% 81-0 16.2% 1-100 14.% Relative 0-60 0.20% 61-70 0.20% 71-80 0.4% 81-0 0.03% 1-100 0.0% B) D) Relative 0-60 11.43% 61-70 28.57% 71-80 34.2% 81-0 11.43% 1-100 14.2% Relative 0-60 12.5% 61-70 20.1% 71-80 37.3% 81-0 15.2% 1-100 14.% Construct the dotplot for the given data. 17) A manufacturer records the number of errors each work station makes during the week. The data are as follows. 6 3 2 3 5 2 0 2 5 4 2 0 1 17) A) B) C) D) 4
Find the original data from the stemplot. 18) Stem Leaves 5 10 1 11 5 5 A) 5, 1,, 101, 111, 115 B) 5,, 101, 101, 115, 115 C) 1, 5, 1, 10, 11, 115 D) 5,, 101, 10, 115, 115 18) Use the data to create a stemplot. 1) The midterm test scores for the seventh-period typing class are listed below. 85 77 3 1 74 65 68 7 88 5 74 83 85 72 63 7 A) B) 5 6 7 8 3 5 8 3 5 5 8 2 4 4 7 1 3 7 5 6 7 8 3 5 8 2 4 4 7 3 5 5 8 1 3 7 1) Solve the problem. 20) At the National Criminologists Association's annual convention, participants filled out a questionnaire asking what they thought was the most important cause for criminal behavior. The tally was as follows. 20) Cause Frequency education 31. drugs 5.7 family 63.8 poverty 111.65 other 15.5 Construct a Pareto chart to display these findings. A) B) 5
C) D) Construct the cumulative frequency distribution that corresponds to the given frequency distribution. 21) Number Speed of cars 0-2 4 30-5 16 60-8 60 0-11 20 21) A) C) Cumulative Speed Frequency Less than 30 100 Less than 60 80 Less than 0 82 Less than120 4 Cumulative Speed Frequency 0-2 4 30-5 20 60-8 80 0-11 100 B) D) Cumulative Speed Frequency Less than 30 4 Less than 60 20 Less than 0 80 Less than120 100 Cumulative Speed Frequency Less than 30 0.04 Less than 60 0.20 Less than 0 0.80 Less than120 1.00 6
Construct a pie chart representing the given data set. 22) After reviewing a movie, 300 people rated the movie as excellent, good, or fair. The following data give the rating distribution. Excellent Good Fair 60 150 0 22) A) B) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 23) A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a graph as shown below. Each cube depicts a parcel. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Why is this graph misleading? What visual impression is created by the graph? 23) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. 24) Last year, nine employees of an electronics company retired. Their ages at retirement are listed 24) below. Find the mean retirement age. 51 61 62 54 68 58 60 57 54 A) 57.7 yr B) 58.3 yr C) 57.1 yr D) 58.0 yr 7
Find the median for the given sample data. 25) The temperatures (in degrees Fahrenheit) in 7 different cities on New Year's Day are listed below. 26 2 33 5 67 68 78 Find the median temperature. A) 67 F B) 5 F C) 33 F D) 51 F 26) The distances (in miles) driven in the past week by each of a company's sales representatives are listed below. 107 114 214 230 436 445 Find the median distance driven. A) 220.50 mi B) 230 mi C) 214 mi D) 222 mi 25) 26) Find the mode(s) for the given sample data. 27) 7.11 7.41 7.56 7.11 7.88 7. 7.62 27) A) 7.526 B) 7.41 C) 7.56 D) 7.11 28) Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. 53 65 63 50 56 67 62 58 54 A) 58 yr B) 58.7 yr C) no mode D) 53 yr, 65 yr, 63 yr, 50 yr, 56 yr, 67 yr, 62 yr, 58 yr, 54 yr 28) Find the range for the given sample data. 2) Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 30 31 47 2 32 11 48 41 50 5 37 22 A) 2 B) 11 C) 48 D) 5 2) Find the variance for the given data. Round your answer to one more decimal place than the original data. 30) 18 20 18 2 7 30) A) 64.0 B) 63. C) 51.2 D).2 Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 31) The top nine scores on the organic chemistry midterm are as follows. 31) 66, 43, 86, 45, 68, 62, 2, 62, 0 A) 21.2 B) 1.8 C) 7.7 D) 18.7 Solve the problem. Round results to the nearest hundredth. 32) The mean of a set of data is 5.73 and its standard deviation is 3.44. Find the z score for a value of 13.87. A) 2.13 B) 2.37 C) 2.67 D) 2.61 32) 8
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. 33) A body temperature of.5 F given that human body temperatures have a mean of 8.20 F and a 33) standard deviation of 0.62. A) 2.1; not unusual B) 1.3; not usual C) -2.1; unusual D) 2.1; unusual Determine which score corresponds to the higher relative position. 34) Which is better, a score of 2 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 43 and a standard deviation of 150? A) A score of 2 B) Both scores have the same relative position. C) A score of 688 34) Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. 35) The test scores of 40 students are listed below. Construct a boxplot for the data set. 25 35 43 44 47 48 54 55 56 57 5 62 63 65 66 68 6 6 71 72 72 73 74 76 77 77 78 7 80 81 81 82 83 85 8 2 3 4 7 8 A) B) 35) C) D)