Question 1

The size of your house.
A) Qualitative
B) Quantitative

Accepted Answer

A

Question 2

Select the description that most completely classifies the given variable
-Preference ratings: as in "Rate the item of most importance to you a 5 and that of least importance a 1"
A) Qualitative, ordinal
B) Quantitative, ordinal
C) Quantitative, ordinal, discrete
D) Qualitative, nominal

Accepted Answer

Preference ratings are ordinal because they represent the order of importance, but not the actual difference in importance. They are also qualitative because they are not numerical values.

Question 3

The results of a poll are stated as follows: "Based on a survey of 156 randomly selected students, 90% of the student body of 2870 students agree that no student should have to take final exams in two consecutive exam periods". If 2578 students actually agree, then what is the absolute error in the reported result?
A) 5 students
B) 287 students
C) 0.17%
D) 292 students

Accepted Answer

The absolute error is the difference between the reported result and the actual result. The reported result is 90% of 2870 students, which is 2583 students. The actual result is 2578 students. Therefore, the absolute error is 2583 - 2578 = 5 students.

Question 4

Select the statement for which a ratio of the
measurements is meaningful. State "Neither" or "Both" if appropriate.
-1 - Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute.
2 - Anna Lisa swam 45 yards underwater, and Marissa swam 35 yards underwater.
A) Anna Lisa swam 45 yards underwater, and Marissa swam 35 yards underwater.
B) Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute.
C) Neither
D) Both

Accepted Answer

Both statements involve measurements that can be compared using a ratio.

Question 5

Boys spend an average of $400 on back-to-school clothes. Girls spend an average of $1,032. How much less is the boy's average expenditure, relatively, than the girl's expenditure (round to the nearest percent)?
A) 61%
B) 158%
C) ?158%
D) 39%

Accepted Answer

The relative difference is calculated as ((1032 - 400) / 1032) * 100 = 61%.

Question 6

Convert −0.45 to a percent.
A) −45%
B) −0.0045%
C) −4.5%
D) 0.45%

Accepted Answer

The answer of Convert −0.45 to a percent.
A) −45%
B) −0.0045%
C)...

Question 7

Totals are determined by rounding to tenths. Identify the potential error as random or systematic.
A) Random
B) Systematic

Accepted Answer

Rounding to tenths introduces a random error because the rounding process is not consistent.

Question 8

According to a specification, the nominal length of a particular manufactured part is 5.4523 cm. Quality control randomly selects one of the parts, and four different quality control technicians measure its length. Their measurements are 5.3234 cm, 5.11259 cm, 5.351 cm, and 5.45 cm. Which measurement is the most accurate?
A) 5.3234
B) 5.11259
C) 5.351
D) 5.45

Accepted Answer

The measurement 5.45 cm is the closest to the nominal length of 5.4523 cm, making it the most accurate.

Question 9

Humanities majors spend an average of $115 per course on books. Mathematics majors spend an average of $70 per course on books. What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent)?
A) 64%
B) 39%
C) ?64%
D) ?39%

Accepted Answer

The percent difference is calculated as ((115 - 70) / 70) * 100 = 64%.

Question 10

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

Accepted Answer

The ratio of the times taken by Kasheta and Louisa to run the race is meaningful because both are measured in seconds, which is a ratio scale.

Question 11

A state patrolman's radar indicates that your car is traveling 70 miles per hour; you had the cruise control set at 65 mph. What is the relative error?
A) 5 mph
B) 7.1%
C) 7.7%
D) 0.929

Accepted Answer

The answer of A state patrolman's radar indicates that your...

Question 12

A person's height in feet.
A) Qualitative
B) Quantitative

Accepted Answer

Quantitative data is data that can be measured or counted. A person's height in feet is a quantitative data because it can be measured.

Question 13

Convert $ \frac{5}{16} $ to a percent.
A) 31.25%
B) 0.3125%
C) 3.125%
D) 0.03125%

Accepted Answer

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. $ \frac{5}{16} = 0.3125 $. Then, $ 0.3125 \times 100 = 31.25\% $.

Question 14

A digital scale reads 0.01 g when it is empty. Identify the potential error in the measurements made on this scale as random or systematic.
A) Random
B) Systematic

Accepted Answer

The scale consistently reads 0.01 g when empty, indicating a systematic error, as it consistently deviates from the true zero point.

Question 15

Suppose that the cost of a statistics text was $50 in 1985 and is $100 in 2000. What is the 'Statistics Text Index' number, rounded to the nearest tenth, for the 2000 edition with the 1985 price as the reference value?
A) 20.0
B) 200.0
C) 50.0
D) 2.0

Accepted Answer

The index number is calculated as (Current Value / Reference Value) * 100. So, (100 / 50) * 100 = 200.0.

Question 16

A part of the CPI is given below: $$\begin{array} { l | l | l | l | l | l } 
\text { Year } & 1975 & 1980 & 1985 & 1990 & 1995 \
\hline \text { CPI } & 53.8 & 82.4 & 107.6 & 130.7 & 152.4
\end{array}$$ Suppose a week's groceries in 1980 cost $70. What would these groceries cost, to the nearest dollar, 10 years later?
A) $38
B) $44
C) $111
D) $129

Accepted Answer

To find the cost in 1990, use the ratio of the CPIs: (130.7 / 82.4) * $70 = $111.

Question 17

Select the description that most completely classifies the given variable
-Soft drink sizes: small, medium, large
A) Qualitative, nominal
B) Quantitative, ordinal
C) Quantitative, ordinal, discrete
D) Qualitative, ordinal

Accepted Answer

The variable "Soft drink sizes: small, medium, large" is qualitative because it describes categories and ordinal because the sizes have a natural order.

Question 18

Compared with a metric scale that has grams as the smallest division, a scale with milligrams as the smallest division
A) will guarantee measurements that are more accurate, but not necessarily more precise.
B) will guarantee measurements that are more precise and more accurate.
C) will guarantee measurements that are more precise, but not necessarily more accurate.
D) will not guarantee measurements that are more accurate or more precise.

Accepted Answer

A scale with milligrams as the smallest division allows for more precise measurements because it can measure smaller increments, but it does not necessarily improve accuracy, which depends on how close the measurements are to the true value.

Question 19

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 66.358% of college students indulged in binge drinking last month.
B) Of the 23,456,321 college students in the country, 15,565,212 indulged in binge drinking last month.
C) About 65% of college students indulge in binge drinking.
D) About 65% of college students indulged in binge drinking in the past month.

Accepted Answer

The poll was taken of a random sample of 1189 college students, and 789 of them reported that they had a drinking binge in the past month. So, about 65% of college students indulged in binge drinking in the past month.

Question 20

The state in which people live.
A) Qualitative
B) Quantitative

Accepted Answer

The state in which people live is a qualitative variable because it describes a category or characteristic rather than a numerical value.

Quiz 2: Measurement in Statistics

The size of your house.

Select the description that most completely classifies the given variable -Preference ratings: as in "Rate the item of most importance to you a 5 and that of least importance a 1"

Select the statement for which a ratio of the measurements is meaningful. State "Neither" or "Both" if appropriate. -1 - Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute. 2 - Anna Lisa swam 45 yards underwater, and Marissa swam 35 yards underwater.

Boys spend an average of $400 on back-to-school clothes. Girls spend an average of $1,032. How much less is the boy's average expenditure, relatively, than the girl's expenditure (round to the nearest percent) ?

Convert −0.45 to a percent.

Totals are determined by rounding to tenths. Identify the potential error as random or systematic.

Humanities majors spend an average of $115 per course on books. Mathematics majors spend an average of $70 per course on books. What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent) ?

Select 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 state patrolman's radar indicates that your car is traveling 70 miles per hour; you had the cruise control set at 65 mph. What is the relative error?

A person's height in feet.

Convert $\frac{5}{16}$ to a percent.

A digital scale reads 0.01 g when it is empty. Identify the potential error in the measurements made on this scale as random or systematic.

Suppose that the cost of a statistics text was $50 in 1985 and is $100 in 2000. What is the 'Statistics Text Index' number, rounded to the nearest tenth, for the 2000 edition with the 1985 price as the reference value?

Select the description that most completely classifies the given variable -Soft drink sizes: small, medium, large

Compared with a metric scale that has grams as the smallest division, a scale with milligrams as the smallest division

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.

The state in which people live.