Question 1

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert 1.1 to an equivalent fraction and percent.

Accepted Answer

1.1 as a fraction is $1 \frac{1}{10}$ because 1.1 means 1 whole and 1 part out of 10. To convert 1.1 to a percent, you multiply by 100, resulting in 110%.

Question 2

Determine which of the four levels of measurement is most appropriate.
-A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.

Accepted Answer

The answer of Determine which of the four levels of...

Question 3

Determine which of the four levels of measurement is most appropriate.
-On a test, Shoshana got 65% or 39 of the items correct. How many items were on the test?

Accepted Answer

Shoshana got 65% or 39 items correct. To find the total number of items on the test, you divide the number of items she got correct (39) by the percentage she got correct (65%) expressed as a decimal (0.65). So, 39 / 0.65 = 60.

Question 4

Determine which of the four levels of measurement is most appropriate.
-A marketing firm does a survey to find out how many people use a product. Of the one hundred people contacted, fifteen said they use the product.

Accepted Answer

The scenario described is observational because the marketing firm is simply collecting data on how many people use a product without manipulating any variables or conditions.

Question 5

Determine which of the four levels of measurement is most appropriate.
-A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.

Accepted Answer

The correct level of measurement is observational because the data is collected by observing and recording the current state of the poll results without manipulating any variables.

Question 6

Use critical thinking to address the key issue.
-A company accused of downsizing workers defended itself with the following statement: "Yes, we were forced to lay off 20% of our workforce last year, but this year we increased our workforce by 20%, and we therefore now have the same number of employees as before the layoff." What is the flaw in this argument?

Accepted Answer

The answer of Use critical thinking to address the key...

Question 7

Use critical thinking to address the key issue.
-"38% of adults in the United States regularly visit a doctor". This conclusion was reached by a college student after she had questioned 520 randomly selected members of her college. What is wrong with her survey?

Accepted Answer

The answer of Use critical thinking to address the key...

Question 8

Solve the problem.
-Alex and Juana went on a 50-mile canoe trip with their class. On the first day they traveled 29 miles. What percent of the total distance did they canoe?

Accepted Answer

They traveled 29 miles out of a total of 50 miles. To find the percentage: (29/50) * 100 = 58%.

Question 9

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert the fraction $\frac { 3 } { 4 }$ to an equivalent decimal and percentage.

Accepted Answer

To convert the fraction $\frac{3}{4}$ to a decimal, divide 3 by 4 to get 0.75. To convert this decimal to a percentage, multiply by 100 to get 75%.

Question 10

Use critical thinking to address the key issue.
-A researcher wished to gauge public opinion on gun control. He randomly selected 1000 people from among registered voters and asked them the following question: "Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?". Identify the abuse of statistics and suggest a way the researcher's methods could be improved.

Accepted Answer

The answer of Use critical thinking to address the key...

Question 11

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert 49% to an equivalent fraction and decimal.

Accepted Answer

49% as a fraction is $\frac{49}{100}$ because percent means per hundred. As a decimal, 49% is 0.49, since you divide the percentage by 100 to convert it to a decimal.

Question 12

Solve the problem.
-On a test of 80 items, Ariel got 67 correct. What percent were correct?

Accepted Answer

Ariel got 67 out of 80 questions correct. To find the percentage, divide 67 by 80 and then multiply by 100. $ \frac{67}{80} \times 100 = 83.75\%$.

Question 13

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert 0.13 to an equivalent fraction and percent.

Accepted Answer

0.13 as a fraction is $\frac{13}{100}$ because 0.13 means 13 hundredths, and as a percent, it is 13% because you multiply by 100 to convert a decimal to a percent.

Question 14

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert $87.5 \%$ to an equivalent fraction and decimal.

Accepted Answer

To convert 87.5% to a fraction, divide by 100 to get 0.875, which simplifies to $\frac{7}{8}$. As a decimal, 87.5% is 0.875.

Question 15

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert $\frac { 9 } { 125 }$ to an equivalent decimal and percent.

Accepted Answer

The answer of Perform the requested conversions. Round decimals to...

Question 16

Determine which of the four levels of measurement is most appropriate.
-A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to find out if the drug has an effect on the patients' illness.

Accepted Answer

This scenario describes an experimental study because the clinic is actively manipulating the variable (administering a drug or a placebo) to observe its effect on the patients' illness, distinguishing it from observational studies where no intervention is made by the researchers.

Question 17

Determine which of the four levels of measurement is most appropriate.
-A stock analyst selects a stock from a group of twenty for investment by choosing the stock with the greatest earnings per share reported for the last quarter.

Accepted Answer

The stock analyst is observing existing data (earnings per share) to make a decision, rather than manipulating variables or conditions, which aligns with observational measurement.

Question 18

Determine which of the four levels of measurement is most appropriate.
-A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish.

Accepted Answer

The answer of Determine which of the four levels of...

Question 19

Solve the problem.
-A gardener has 56 clients, 50% of whom are businesses. Find the number of business clients.

Accepted Answer

50% of 56 clients equals 28 clients, as 0.50 * 56 = 28.

Question 20

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
-Convert $0.4$ to an equivalent fraction and percentage.

Accepted Answer

0.4 as a fraction is $\frac{2}{5}$ (since 4 is 2 times 2 and 10 is 5 times 2, simplifying 4/10), and as a percentage is 40% (since 0.4 equals 40/100 or 40%).

Quiz 1: Introduction to Statistics

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert 1.1 to an equivalent fraction and percent.

Determine which of the four levels of measurement is most appropriate. -A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.

Determine which of the four levels of measurement is most appropriate. -On a test, Shoshana got 65% or 39 of the items correct. How many items were on the test?

Determine which of the four levels of measurement is most appropriate. -A marketing firm does a survey to find out how many people use a product. Of the one hundred people contacted, fifteen said they use the product.

Determine which of the four levels of measurement is most appropriate. -A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.

Use critical thinking to address the key issue. -"38% of adults in the United States regularly visit a doctor". This conclusion was reached by a college student after she had questioned 520 randomly selected members of her college. What is wrong with her survey?

Solve the problem. -Alex and Juana went on a 50-mile canoe trip with their class. On the first day they traveled 29 miles. What percent of the total distance did they canoe?

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert the fraction 34\frac { 3 } { 4 }43​ to an equivalent decimal and percentage.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert 49% to an equivalent fraction and decimal.

Solve the problem. -On a test of 80 items, Ariel got 67 correct. What percent were correct?

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert 0.13 to an equivalent fraction and percent.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert 87.5%87.5 \%87.5% to an equivalent fraction and decimal.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert 9125\frac { 9 } { 125 }1259​ to an equivalent decimal and percent.

Determine which of the four levels of measurement is most appropriate. -A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to find out if the drug has an effect on the patients' illness.

Determine which of the four levels of measurement is most appropriate. -A stock analyst selects a stock from a group of twenty for investment by choosing the stock with the greatest earnings per share reported for the last quarter.

Determine which of the four levels of measurement is most appropriate. -A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish.

Solve the problem. -A gardener has 56 clients, 50% of whom are businesses. Find the number of business clients.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert 0.40.40.4 to an equivalent fraction and percentage.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert the fraction $\frac { 3 } { 4 }$ to an equivalent decimal and percentage.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert $87.5 \%$ to an equivalent fraction and decimal.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert $\frac { 9 } { 125 }$ to an equivalent decimal and percent.

Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. -Convert $0.4$ to an equivalent fraction and percentage.