week.3.quiz

# week.3.quiz - The numbers of regular season wins for 11...

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Unformatted text preview: The numbers of regular season wins for 11] football teams in a given season are given below. Determine the rar 2, T, 15, 2, 1:1, 3, 11, B, 3, i" la The range is I. [Simplify your answer.} The population mean is -_ [Simplify your answer. Round to the nearest tenth as needed_} The population variance is 13.21 _ [Simplify your answer. Round to the nearest hundredth as needed.} The population standard deviation is -_ [Simplify your answer. Round to the nearest tenth as needed_} Determine whether the data set is a population or a sample. Explain your reasoning. The height of each student in a classroom. Choose the correct answer below. EC ﬂ. Sample, because it is a collection of heights for all students in the classroom, but there are more stud: EC B. Population, because it is a collection of heights for all students in the classroom. EC C. Sample, because it is a collection of heights for some students in the classroom. EC D. Population, because it is a subset of all students in the school. Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. The average grade on the midterm exam in a certain math class of EU students was an 33. Choose the correct answer below. EC ﬂ. Statistic, because the data set of all 50 midterm exams in the math class is a population. EC B. Statistic, because the data set of all EU midterm exams in the math class is a sample. EC C. Statistic, because the data set of a sample of math exams is a population. EC D. Parameter, because the data set of all 5E] midterm exams in the math class is a sample. EC E. Parameter, because the data set of all EU midterm exams in the math class is a population. EC F. Parameter, because the data set of a sample of math exams is a sample. EC G. Parameter, because the data set of a sample of math exams is a population. EC H. Statistic, because the data set of a sample of math exams is a sample. Use a stem-and-leaf plot to display the data. The data represent the heights of eruptions by a geyser. What c: 1U? Si] 140 120 111] 113 38 132 143 130 Choose the correct stem-and-leaf plot. (Key: 15 | 5 =155} C b. C B. What can you conclude about the data? EC) ﬁt. It appears that most eruptions have a height between 11 and 13. EC) B. It appears that most eruptions have a height of around 12. EC} C. It appears that most eruptions have a height greater than 123. E5) D. It appears that most eruptions have a height less than 153. EC} E. It appears that most eruptions have a height of around 123. Identify the sampling techniques used, and discuss potential sources of bias [if any}. Explain. Assume the po Questioning students as they leave an academic building, a researcher asks 3?? students about their drinking What type of sampling is used? Ci ill. Systematic sampling is used, because students are selected from a list, with a ﬁxed interval between C} B. Simple random sampling is used, because students are chosen at random. {it C. Convenience sampling is used, because students are chosen due to convenience of location. O [.‘r. Stratiﬁed sampling is used, because students are divided into groups, and students are chosen at ran: O E. Cluster sampling is used, because students are divided into groups, groups are chosen at random, anr What potential sources of bias are present, if any? Select all that apply. EE ill. Because ofthe personal nature ofthe question, students may not answer honestly. EE E. University students may not be representative of all people in their age group. EE C. The sample only consists of members ofthe population that are easy to get. These members may not EE [.‘r. There are no potential sources of bias. The mean value of land and buildings per acre from a sample offarms is \$1233, with a standard deviation of \$1 given, are unusual [more than two standard deviations from the mean}. Are any ofthe data values very unusual \$1313 \$14-22 \$1353 \$315 \$1144- \$1133 Which of the farms are unusual [more than two standard deviations from the mean}? Select all that apply. E it. \$315 E B. \$1144 E C. \$1313 E D. \$14.22 E E. \$1133 E F. \$1353 Which of the farms are very unusual [more than three standard deviations from the mean}? Select all that appli wiucici \$315 \$1198 \$1144 \$1422 \$1319 Find the equation ofthe regression line for the given data. Then construct a scatter plot of the data and draw tl meaningful. The table shows the shoe size and heights [in}for E- men. ———mm 10. Height. v m“— m. [a] Predict the value ofv for 3:: =11.5. Choose the correct answer below. 0 ﬂ. T20 {i} B. ?4.2 C} C. 53.2 D [.‘r. not meaningful [b]: Predict the value of'v for 3: =10. Choose the correct answer below. CI ﬂ. T15 {:3 B. T21] {El C. 53.2 C) [.‘r. not meaningful {c} Predict the value ofv for :1: =14.5. Choose the correct answer below. {3| ﬂ. i"4.2 C} B. 53.2 {E} C. T35 C} [.‘r. not meaningful [d] Predict the value ofv for 3:: =35. Choose the correct answer below. D It. F42 Ell B. T20 C} C. Nib O [.‘r. not meaningful Match the plot with a possible description of the sample. Choose the correct answer below. if": n 'l‘u-nn fin mfnll‘f‘nn'l. i+ +nl.-n.n n nnmnln nF nl'IrlrI-ln'llnnn +n all-inn +n nun-I.- :U .H.. ”me Sm uuuutes} |L Lane:- a sample on employees LU unve LU vaIn SCI B. Time [in hours} spent watching W in a day for a sample ofteenagers SCI C. Fastest serve [in miles per hour} of a sample oftop tennis players SCI [.‘r. Ages [in years} of a sample of residents of a retirement home The temperatures [in ElF} of air samples taken simultaneously over a glacier are shown below. 13.8 13.? 15.8 15.? Determine whether the data are qualitative or quantitative and identify the data set's level of measurement. Are the data qualitative or quantitative? CI Quantitative CI Qualitative What is the data set's level of measurement? Determine whether the statement is true or false. If it is false, rewrite it as a true statement. More types ofcalculations can be performed with data at the nominal level than with data at the interval level. Choose the correct answer below. SCI B. False. More types ofcalculations can be performed with data at the interval level than with data at the DC ...... EE'EE: ..... Th .REETEIEPE?...'E*.T.EEI.EH.!ESSEER..EEU...PE.EECRIMES..‘.'.'l.'.l'.Ffl.fS§PE-SHEE...U.F.*.Tl.U.§.'...l.?.tf?.lEYES...‘.'!'.'.'SH1.SSEIE.E Find the equation ofthe regression line for the given data. Then construct a scatter plot of the data and draw tl meaningful. The number of hours 5 students spent for a test and their scores on that test are shown below. Hours spent studying, x -:-——— 5: Find the regression equation. ;="+I [Round to three decimal places as needed.} LT‘I Choose the correct graph below. CHI- O B. Test score Test score Hours studying Hours studying {a} Predict the value ofy for X =2. Choose the correct answer below. (i) ﬁt. 45.5 CI B. 43.? Cl C. 50.3 CI D. not meaningful {b} Predict the value ofy for x :45. Choose the correct answer below. (it) ﬁt. 50.3 {3' B. 113.0 Cl C. 43.? Cl [.‘r. not meaningful {c} Predict the value ofy for x =14. Choose the correct answer below. (3: it. 40.5 O B. 50.3 (in) C. 113.0 C: [.‘r. not meaningful {d} Predict the value ofy for x =1.5. Choose the correct answer below. GI ﬂ. 113.0 {E} B. 43.? Cl C. 45.5 C} [.‘r. not meaningful The equation used to predict the total body weight [in pounds} ofa female athlete at acertain school is {3: —1 regression equation to predict the total body weight for a female athlete who is 50 inches tall and has 20% bt'H: The predicted total body weight for a female athlete who is 50 inches tall and has 20% body fat is 125.0 pour Use the value ofthe linear correlation coefﬁcient to calculate the coefﬁcient ofdetermination. What does this t: r= —0_112 Calculate the coefﬁcient ofdetermination. 0.013 [Round to three decimal places as needed.) What does this tell you about the explained variation ofthe data about the regression line? .34: ofthe variation can be explained bythe regression line. [Round to one decimal place as needed} About the unexplained variation? -% ofthe variation is unexplained and is due to other factors or to sampling error. [Round to one decimal place as needed.} Suppose the scatter plot shows the results of a sunrey of 23 randomly selected males ages 24 to 35. Using a1 {a} Page and body temperature {b} Age and balance on student loans {c} Age and income {d} Page and height The response variable is body temperature because you would expect this variable and age to have Consider a frequency distribution of scores on a SCI—point test where a few students scored much lower than t W \$1 E El la 2 El cl 1 o 1 1 615 T15 1 4 T 1D T5 1D5135 ZSDDU QEDDEI The correct histogram is I. [Type A, B, C, or ll} "ige, mean, variance, and standard deviation of the population data set. in you cenclude about the data? 110 iﬂﬂ 145 123 BE pulation of interest is the student nod}...r at a university. ; habits. students on the list. lom from these groups. 1 every.r student in one ofthose groups is sampled. Eli]. The data set has a hell—shaped distribution. Using the empirical rule, determine which ofthe following farms l [more than three standard deviations from the mean}? "IE regression line. [The pair of'u'ariahles has a signiﬁcant correlation_}Then use the regression equation to precli+ U —% [a}x=size11_5 [h}x=size U [c}x=size14_5 [d}x=size {i="+i [Round to three decimal places as needed.} nominal level. it the interval level. 1e regression line. [The pair ofvariahles have a signiﬁcant correlation} Then use the regression equation to pred “'21 {a} x =2 hours {b} x=tLE 3 [c}x=1tl- hours [d}x=‘l_5 Test some Test score D [II B D 3 Hours studying Hours studying HE + 3.553(1 + 1.153(2, where so is the female athlete's height [in inches} and x2 is the female athlete's peroentl 11:; fat. ids. [Round to the nearest tenth as needed} all you about the explained variation of the data about the regression line? About the unexplained variation? ge as the explanatory.r variable, choose the appropriate description for the graph. Explain your reasoning. no correlation and variation for adult males. he majority.' of students. l'u'latch this distribution with one of the graphs shown below. 15E] 130 104 120 154 ,whuse land and building values per acre are at the value mfg.r for each of the given zit—values, if a H] a 3.5 ict the value 01:15..r for each efthe given x—valuee, if hours hours ...
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• Spring '10
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