Question 1

Perform the requested conversion.
-Convert -0.51 to a percent.

Accepted Answer

To convert -0.51 to a percent, you multiply by 100. Thus, -0.51 * 100 = -51%.

Question 2

Analysis of income data based on a survey of 33 professors at a large midwestern university produced the Report: "Average income (all sources)of professors is $64,245.21." An astute reader would conclude that

Accepted Answer

The precision of the reported average income to the cent ($64,245.21) suggests a level of exactness that is unlikely to be justified given the variability in income data and the sample size of 33 professors. It implies a level of detail that the data may not support.

Question 3

A report of teacher-district negotiations stated: "Of the 2801 teachers, 1234 are in favor of the new contract and 1567 are opposed to accepting it in its present form." These results are

Accepted Answer

The sum of teachers in favor (1234) and those opposed (1567) equals the total number of teachers (2801), making the results possible.

Question 4

Perform the requested conversion.
-Convert 2.5 to a reduced fraction.

Accepted Answer

2.5 can be written as $2\frac{1}{2}$ or $\frac{5}{2}$ when converted to a fraction.

Question 5

A reporter for a school newspaper is charged with determining the average amount of money that students spend on books. Discuss the potential sources of error and how they might be avoided.

Accepted Answer

The answer of A reporter for a school newspaper is...

Question 6

A newspaper reported: "If the election were held today, the Democrats would win 50.0224% to 49.776%." This
Result is

Accepted Answer

The result is questionable because it implies a level of precision (to four decimal places) that is highly unlikely to be achievable in public opinion polling or election forecasting, suggesting an overconfidence in the data's accuracy.

Question 7

Discuss possible factors that might prevent a correction of systematic error.

Accepted Answer

The answer of Discuss possible factors that might prevent a...

Question 8

Although the official census reported the population of a small midwestern city as 81,000, the city manager Protested, insisting that the actual population, based on a private census, is 87,456. The report of the city Manager

Accepted Answer

The city manager's report is suspect because of its precision. The exact number (87,456) suggests a level of accuracy that might be unrealistic for population counts, which are typically estimates.

Question 9

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

Accepted Answer

The answer of Of the 2542 students enrolled at a...

Question 10

Perform the requested conversion.
-Convert $\frac { 7 } { 8 }$ to a percent.

Accepted Answer

To convert a fraction to a percent, you divide the numerator by the denominator and then multiply by 100. For $\frac{7}{8}$, you get $7 \div 8 = 0.875$, and $0.875 \times 100 = 87.5\%$.

Question 11

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

Accepted Answer

The answer of A newspaper reported "23,543,114 preteens have read...

Question 12

Why is it possible to correct for systematic error?

Accepted Answer

The answer of Why is it possible to correct for...

Question 13

Perform the requested conversion.
-Convert $\frac { 3 } { 2 }$ to decimal form.

Accepted Answer

$\frac { 3 } { 2 }$ equals 1.5 when converted to decimal form.

Question 14

Discuss ways that a researcher might minimize systematic error in a study to determine the number of hours that students study for statistics exams.

Accepted Answer

The answer of Discuss ways that a researcher might minimize...

Question 15

Perform the requested conversion.
-Convert 12% to decimal form.

Accepted Answer

To convert a percentage to a decimal, divide by 100. Thus, 12% becomes 12/100 = 0.12.

Question 16

Discuss why it is not possible to eliminate random errors.

Accepted Answer

The answer of Discuss why it is not possible to...

Question 17

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.

Accepted Answer

The answer of A student in a statistics class chooses...

Question 18

A botany student counted 11 blades of grass in one square centimeter of lawn and measured the lawn as a Rectangle 61 m by 31 m. She reported that there were 208,010,000 blades of grass in the lawn. The precision of Her conclusion

Accepted Answer

The student's conclusion is excessively precise because it suggests a level of accuracy (to the single blade of grass) that her initial measurement (counting blades in a single square centimeter) and the dimensions of the lawn do not support.

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.

Accepted Answer

The calculation based on the sample (789 out of 1189) closely approximates to 70% (66.358% rounded up for simplicity and generalization), making option D the most believable conclusion. Options A and C are nearly correct but less precise or generalized than D, and B makes an unwarranted extrapolation to the entire population of college students.

Question 20

As measurements are combined mathematically,

Accepted Answer

When measurements are combined mathematically, the precision typically decreases due to the accumulation of errors from each measurement.

Quiz 2: Measurement in Statistics

Perform the requested conversion. -Convert -0.51 to a percent.

Analysis of income data based on a survey of 33 professors at a large midwestern university produced the Report: "Average income (all sources) of professors is $64,245.21." An astute reader would conclude that

A report of teacher-district negotiations stated: "Of the 2801 teachers, 1234 are in favor of the new contract and 1567 are opposed to accepting it in its present form." These results are

Perform the requested conversion. -Convert 2.5 to a reduced fraction.

A reporter for a school newspaper is charged with determining the average amount of money that students spend on books. Discuss the potential sources of error and how they might be avoided.

A newspaper reported: "If the election were held today, the Democrats would win 50.0224% to 49.776%." This Result is

Discuss possible factors that might prevent a correction of systematic error.

Although the official census reported the population of a small midwestern city as 81,000, the city manager Protested, insisting that the actual population, based on a private census, is 87,456. The report of the city Manager

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

Perform the requested conversion. -Convert $\frac { 7 } { 8 }$ to a percent.

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

Why is it possible to correct for systematic error?

Perform the requested conversion. -Convert $\frac { 3 } { 2 }$ to decimal form.

Discuss ways that a researcher might minimize systematic error in a study to determine the number of hours that students study for statistics exams.

Perform the requested conversion. -Convert 12% to decimal form.

Discuss why it is not possible to eliminate random errors.

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.

A botany student counted 11 blades of grass in one square centimeter of lawn and measured the lawn as a Rectangle 61 m by 31 m. She reported that there were 208,010,000 blades of grass in the lawn. The precision of Her conclusion

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.

As measurements are combined mathematically,

Quiz 2: Measurement in Statistics

Perform the requested conversion. -Convert -0.51 to a percent.

Analysis of income data based on a survey of 33 professors at a large midwestern university produced the Report: "Average income (all sources) of professors is $64,245.21." An astute reader would conclude that

A report of teacher-district negotiations stated: "Of the 2801 teachers, 1234 are in favor of the new contract and 1567 are opposed to accepting it in its present form." These results are

Perform the requested conversion. -Convert 2.5 to a reduced fraction.

A reporter for a school newspaper is charged with determining the average amount of money that students spend on books. Discuss the potential sources of error and how they might be avoided.

A newspaper reported: "If the election were held today, the Democrats would win 50.0224% to 49.776%." This Result is

Discuss possible factors that might prevent a correction of systematic error.

Although the official census reported the population of a small midwestern city as 81,000, the city manager Protested, insisting that the actual population, based on a private census, is 87,456. The report of the city Manager

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

Perform the requested conversion. -Convert 78\frac { 7 } { 8 }87​ to a percent.

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

Why is it possible to correct for systematic error?

Perform the requested conversion. -Convert 32\frac { 3 } { 2 }23​ to decimal form.

Discuss ways that a researcher might minimize systematic error in a study to determine the number of hours that students study for statistics exams.

Perform the requested conversion. -Convert 12% to decimal form.

Discuss why it is not possible to eliminate random errors.

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.

A botany student counted 11 blades of grass in one square centimeter of lawn and measured the lawn as a Rectangle 61 m by 31 m. She reported that there were 208,010,000 blades of grass in the lawn. The precision of Her conclusion

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.

As measurements are combined mathematically,

Perform the requested conversion. -Convert $\frac { 7 } { 8 }$ to a percent.

Perform the requested conversion. -Convert $\frac { 3 } { 2 }$ to decimal form.