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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. -Salaries of college professors


A) Nominal
B) Ratio
C) Ordinal
D) Interval

E) A) and D)
F) A) and C)

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B

Fill in the blank. Explain your reasoning. -Doctor Murphy's salary is currently 9% more than Doctor Carell's salary, so Professor Murphy's salary is ____%of Professor Carell's salary.


A) -9%; Doctor Murphy's salary is -9% of Professor Carell's salary.
B) 109%; Doctor Murphy's salary is 100% of Professor Carell's salary plus another 9%.
C) 91%; Doctor Murphy's salary is 100% of Professor Carell's salary minus 9% of Professor Carell's salary.
D) 9%; Doctor Murphy's salary is 9% of Professor Carell's salary.

E) B) and D)
F) B) and C)

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B

Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate. -1 - At The Gap, Buffy has a credit card balance of $556, and Rosa has a credit line of $111. 2 - Juan saved $435 last month, and Ian saved $321 last month.


A) At The Gap, Buffy has a credit card balance of $556, and Rosa has a credit line of $111.
B) Juan saved $435 last month, and Ian saved $321 last month.
C) Neither
D) Both

E) B) and D)
F) None of the above

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Solve the problem. -Identify the four price index numbers in the table that would result from using the price from 1995 as the reference value. Round each value to the nearest tenth. \quad \quad \quad \quad \quad Average Gasoline Prices (per gallon)  Year  Price  Price as a  Percentage of 1975 Price  Price Index (1975=100)  Price Index (1995=100) 195529.1451.3%51.3197556.7%100.0%100.01995120.5%212.5%212.52005231.04407.4%407.4\begin{array}{|l|l|l|l|l|}\hline \text { Year } & \text { Price } & \begin{array}{l}\text { Price as a } \\\text { Percentage of } \\1975 \text { Price }\end{array} & \begin{array}{l}\text { Price Index } \\(1975=100) \end{array} & \begin{array}{l}\text { Price Index } \\(1995=100) \end{array} \\\hline 1955 & 29.14 & 51.3 \% & 51.3 & \\\hline 1975 & 56.7 \% & 100.0 \% & 100.0 & \\\hline 1995 & 120.5 \% & 212.5 \% & 212.5 & \\\hline 2005 & 231.04 & 407.4 \% & 407.4 & \\\hline\end{array}


A) 1955: 191.7, 1975: 100, 1995: 47.1 ,2005: 24.124.1
B) 1955:191,1975:100,1995:47.8,2005:24.11955 : 191,1975 : 100,1995 : 47.8,2005 : 24.1
C) 1955:24.1,1975:47.8,1995:100,2005:1911955 : 24.1,1975 : 47.8,1995 : 100,2005 : 191
D) 1955:24.1,1975:47.1,1995:100,2005:191.71955 : 24.1,1975 : 47.1,1995 : 100,2005 : 191.7

E) B) and D)
F) C) and D)

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A poll was taken of a random sample of 1189 college students. Of these students, 789 reported that they had a Drinking binge (more than 10 drinks in an evening) in the past month. Select the most believable conclusion.


A) About 70% of college students indulge in binge drinking.
B) Of the 23,456,321 college students in the country, 15,565,212 indulged in binge drinking last month.
C) About 66.358% of college students indulged in binge drinking last month.
D) About 70% of college students indulged in binge drinking last month.

E) None of the above
F) All of the above

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Solve the problem. -A study was conducted to determine whether flipping a penny or spinning a penny has an effect on the Proportion of heads. Among 56,126 trials, 25,586 involved flipping pennies, and 12,630 of those pennies turned Up heads. The other 30,540 trials involved spinning pennies, and 12,815 of those pennies turned up heads. (i) What percentage of the trials involved flipping pennies? (ii) What percentage of the trials involved spinning pennies? (iii) Among the pennies that were flipped, what is the percentage that turned up heads? (iv) Among the pennies that were spun, what is the percentage that turned up heads? Round your answers to the nearest percent.


A) (i) 46%46 \% ; (ii) 54%54 \% ; (iii) 170%170 \% ; (iv) 142%142 \%

B) (i) 54%54 \% ; (ii) 46%46 \% ; (iii) 49%49 \% ; (iv) 42%42 \%

C) (i) 46%46 \% ;(ii) 54%54 \% ;(iii) 49%49 \% ; ((iv) 42%42 \%

D) (i) 46%46 \% ;(ii) 54%54 \% ;(iii) 50%50 \% ; (iv) 41%41 \%

E) C) and D)
F) A) and C)

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Of the 2542 students enrolled at a midwestern college, 156 were polled. Forty-two reported that they would Definitely buy books at the college bookstore. The bookstore should prepare for


A) 700 students.
B) 684 students.
C) about 600 students.
D) at least 700 students.

E) B) and D)
F) A) and B)

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Identify the following variable as either qualitative or quantitative and explain why. -Outcome of tossing a coin


A) Qualitative because it is not a measurement or a count
B) Quantitative because it consists of a count

C) A) and B)
D) undefined

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Identify the following variable as either qualitative or quantitative and explain why. -A person's sex


A) Qualitative because it is not a measurement or a count
B) Quantitative because it consists of a measurement

C) A) and B)
D) undefined

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A newspaper reported "23,543,114 preteens have read one or more of the Harry Potter books." This figure is


A) imprecise.
B) suspect.
C) believable.
D) not believable.

E) B) and C)
F) None of the above

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Solve the problem. -Part of the Housing Price Index for 1999 is given below:  City  Palo Alto, CA  Sioux City, IA  Boston, MA  Spokane, WA  Index 3654718278\begin{array} { l | c | c | c | c } \text { City } & \text { Palo Alto, CA } & \text { Sioux City, IA } & \text { Boston, MA } & \text { Spokane, WA } \\\hline \text { Index } & 365 & 47 & 182 & 78\end{array} An academic computer expert is leaving Boston to work in the high tech area of Palo Alto. What should she expect to Pay, to the nearest dollar, for a house comparable to her $310,000 Boston home?


A) $621,703
B) $492,000
C) $154,575
D) $675,000

E) A) and B)
F) A) and C)

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Fill in the blank. Explain your reasoning. -If an elephant weighs 10% more than a rhino, then the elephant's weight is ____% of the rhino's weight.


A) 10%; The elephant weighs 10% of the rhino's weight.
B) 110%; The elephant weighs 100% of the rhino's weight plus another 10%.
C) 90%; The elephant weighs 100% of the rhino's weight minus 10% of the rhino's weight.
D) -10%; The elephant weighs -10% of the rhino's weight.

E) All of the above
F) A) and C)

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Answer the question. -A pharmacist puts 32 pills into a prescription order that calls for 30 pills. What is the absolute error?


A) 2 pills
B) -6.7%
C) 6.7%
D) -2 pills

E) A) and C)
F) A) and B)

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Provide an appropriate response. -A computer uses voice recognition software. Identify the potential error as random or systematic.


A) Random
B) Systematic

C) A) and B)
D) undefined

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Solve the problem. -Boys spend an average of $6100 on back-to-school clothes. Girls spend an average of $26,700. How much less is the boy's average expenditure, relatively, than the girl's expenditure (round to the nearest percent) ?


A) -77%
B) -338%
C) 77%
D) 338%

E) A) and B)
F) All of the above

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Provide an appropriate response. -The approximate value of π\pi is 3.1415927. Which of the following experimentally determined values is the most Accurate?


A) 3.14
B) 3.412114
C) 3.247
D) 3.3245

E) None of the above
F) A) and D)

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A

Compared with a digital scale that gives readings as - - . - - g a scale that gives readings as- - , - - - g is


A) not necessarily more precise or more accurate.
B) more precise and more accurate.
C) more precise, but not necessarily more accurate.
D) more accurate, but not necessarily more precise.

E) A) and B)
F) A) and C)

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Two statements are given. Identify the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate. -1 - Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec. 2 - Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.


A) Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.
B) Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
C) Neither
D) Both

E) A) and D)
F) None of the above

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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. -The sample of spheres categorized from softest to hardest


A) Nominal
B) Ratio
C) Interval
D) Ordinal

E) A) and B)
F) All of the above

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A student in a statistics class chooses to determine the number of hours the average student studies for a statistics test. Discuss the accuracy and precision that would be expected in the summary report.

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The researcher might well expect a syste...

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