STAT 200 QUIZ 1 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. A) Parameter B) Statistic 1) Determine whether the given value is from a discrete or continuous data set. 2) The height of 2-year-old maple tree is 28.3 ft. A) Continuous B) Discrete 2) Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 3) Ages of survey respondents. 3) A) Nominal B) Ordinal C) Interval D) Ratio Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 4) 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. A) Systematic B) Stratified C) Convenience D) Cluster E) Random Construct the cumulative frequency distribution that corresponds to the given frequency distribution. 5) Number Speed of cars 0-29 4 30-59 16 60-89 60 90-119 20 A) B) Speed Less than 30 Less than 60 Less than 90 Less than120 Cumulative Frequency 100 80 82 4 Speed Less than 30 Less than 60 Less than 90 Less than120 Cumulative Frequency 0.04 0.20 0.80 1.00 Speed Less than 30 Less than 60 Less than 90 Less than120 C) Cumulative Frequency 4 20 80 100 D) Speed 0-29 30-59 60-89 90-119 Cumulative Frequency 4 20 80 100 1 Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) 4) 5) Find the mode(s) for the given sample data. 6) The weights (in ounces) of 14 different apples are shown below. 5.0 6.5 6.0 6.2 6.6 5.0 6.5 4.5 5.8 6.2 5.0 4.5 6.2 6.3 A) 5.60 oz B) 5.0 oz C) no mode 6) D) 5.0 oz, 6.2 oz Provide an appropriate response. 7) The frequency distribution for the weekly incomes of students with part-time jobs is given below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. Income ($) Frequency 200-300 55 301-400 70 401-500 73 501-600 68 More than 600 10 A) Relative Income ($) Frequency 201-300 15.5% 301-400 22.1% 401-500 31.3% 501-600 16.2% More than600 14.9% C) Relative Income ($) Frequency 200-300 19.93% 301-400 25.36% 401-500 26.45% 501-600 24.64% More than 600 3.62% 7) B) Relative Income ($) Frequency 200-300 12.5% 301-400 20.1% 401-500 37.3% 501-600 15.2% More than 600 14.9% D) Relative Income ($) Frequency 200-300 25.98% 301-400 24.91% 401-500 3.65% 501-600 19.64% More than 600 26.07% Find the indicated measure. 8) Use the given sample data to find Q3 . 8) 49 52 52 52 74 67 55 55 A) 67.0 B) 6.0 C) 55.0 2 Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) D) 61.0 Provide an appropriate response. 9) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 119 inclusive? A) 3.5% B) 0.35% C) 35% D) 30% 10) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 139 inclusive? A) 59% B) 75% C) 89% 3 Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) 9) D) 39% 10) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the sample and population. Also, determine whether the sample is likely to be representative of the population. 11) 100,000 randomly selected adults were asked whether they drink at least 48 oz of water 11) each day and only 45% said yes. Find the mean and median for each of the two samples, then compare the two sets of results. 12) A comparison is made between summer electric bills of those who have central air and those who have window units. May June July Aug Sept Central $32 $64 $80 $90 $65 Window $15 $84 $99 $120 $40 Provide an appropriate response. 13) A medical research team studied the ages of 34 patients who had strokes caused by stress. The frequency distribution below summarizes the results. When trying to understand the stroke data, what would be the advantage of looking at a histogram instead of this frequency distribution? Age Frequency 25-29 3 30-34 3 35-39 6 40-44 4 45-49 5 50-54 3 55-59 5 60-64 5 Solve the problem. 14) Using a strict interpretation of the relevant criteria characterizing a normal distribution,does the frequency distribution below appear to have a normal distribution? Does the distribution appear to be normal if the criteria are interpreted very loosely? 12) 13) 14) Closing Share Price Frequency 0-5 2 6-10 5 11-15 15 16-20 27 Provide an appropriate response. 15) Heights of adult women are known to have a bell-shaped distribution. Draw a boxplot to illustrate the results. 4 Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) 15) Use the given data to construct a frequency distribution. 16) Kevin asked some of his friends how many hours they had worked during the previous week at their after-school jobs. The results are shown below. 5 6 5 4 5 5 9 8 5 3 7 6 6 7 5 6 7 5 6 8 6 7 8 4 Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for class 1. Hours Frequency Provide an appropriate response. 17) The histogram below shows the distribution of the assets (in millions of dollars) of 71 companies. Does the distribution appear to be normal? 18) Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale. 5 Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) 16) 17) 18) 19) The graph below shows the average cost of renting a studio in one city in each of the years 2002 through 2006. By what percentage does the average price increase from 2002 to 2003? Obtain a second version of the graph by sliding a piece of paper over the bottom of the graph so that the bars start at 300. In this new graph, by what percentage does the price appear to increase from 2002 to 2003? Is the second graph misleading? 19) 20) In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group. They do not know whether they are receiving the medication or a placebo. However the doctors administering the medication and evaluating the results do know which participants are receiving the medication. This experiment is blind but not double blind. Explain what this means and why the absence of double blinding could cause a problem. 20) 6 Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/)