Quiz about Samples and Population Inference

Question 1

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Use the mean value of each data set to make an inference about the number of fish caught each day.

Accepted Answer

On average, participants caught and released more fish on Day 2.

Answer

On average, most participants caught and released 5 or more fish.

Answer

More participants caught 6 fish than any other number.

Answer

The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.

Question 2

Margo wants to convince her father to change her curfew from 9 P.M. to 10 P.M. She gathers data on curfew times from a random sample of students at her middle school. Can Margo use these data to present a valid inference that will convince her father? Explain.

Accepted Answer

No; Most students have a curfew of 9 P.M. or earlier.

Answer

Yes; Most students have a curfew of 10 P.M. or later.

Answer

Yes; More students have a curfew of 9 P.M. than any other time.

Answer

No; More students have a curfew of 10 P.M. or 11 P.M. than 8 P.M.

Question 3

A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?

Accepted Answer

More than 2,500 club members would likely say they prefer other vacations over mountain vacations.

Answer

Twenty-four percent of those sampled say they like mountain vacations best.

Answer

An estimated 720 club members would likely say they enjoy mountain vacations best.

Answer

Almost one-quarter of club members would likely say they enjoy mountain vacations best.

Question 4

What inference can you draw from this survey?

Accepted Answer

I can infer that most students in this school like hamburgers.

Answer

I can infer that most students in this school like pizza.

Answer

I can infer that very few students like hamburgers.

Answer

I can infer that their favorite is corn dogs.

Question 5

Group A and Group B were randomly sampled from the same population. Select all the inferences that you can make.

Accepted Answer

Group B has a higher median than Group A.

Accepted Answer

Group B has a higher mean than Group A.

Accepted Answer

Group B has more overall variability than Group A.

Answer

Group B has a smaller range than Group A.

Answer

Group A and B have the same maximum value.

Question 6

_______ is the entire group of objects or individuals considered for a survey.

Accepted Answer

Population

Answer

Sample

Answer

Quartile

Answer

Random Sample

Question 7

_______ is a part of a group being surveyed.

Accepted Answer

Sample

Answer

Population

Answer

Quartile

Answer

Random Sample

Question 8

Caleb is comparing the growth of plants using two different fertilizers. Use the measures of center from the box plots to make an inference about the data.

Accepted Answer

Based on the medians, plants in Group B grew more than plants in Group A.

Answer

Based on the means, plants in Group A grew more than plants in Group B

Answer

Based on the means, plants in Group B grew more than plants in Group A.

Answer

Based on the medians, plants in Group A grew more than plants in Group B

Question 9

The Magic Kingdom theme park has many attractions, one of which is Space Mountain. Are the people who ride Space Mountain the population, or a sample, of the theme park? Explain.

Accepted Answer

Sample. They are a subset of all the people at the theme park.

Answer

Population. They are all the people at the theme park.

Answer

Both population and sample. They are all the people at the theme park

Answer

Neither population nor sample. They are not the people at the theme park.

Question 10

If you compare the medians of each data set, who spends more time online?

Accepted Answer

Eighth graders

Answer

Seventh graders

Answer

Both grades spend an equal amount of time online.

Answer

Impossible to determine from the data sets.

Question 11

There are 400 students at Polly's school. She surveyed a random sample of 80 students to find their favorite hobby. 19 said they like to read. 30 said they like to be with friends. 8 said they like to do crafts. 23 said they like to play sports. Polly infers that doing crafts is the least popular hobby at her school. Refer to the data table. Polly surveys two more samples. Do the results from these samples support the inference made from the first sample?

Accepted Answer

Yes, the survey results support the inference that doing crafts is the least popular hobby at Polly's school.

Answer

No, the survey results does not support the inference that doing crafts is the least popular hobby at Polly's school.

Question 12

There are 400 students at Polly's school. She surveyed a random sample of 80 students to find their favorite hobby. 19 said they like to read. 30 said they like to be with friends. 8 said they like to do crafts. 23 said they like to play sports. Polly infers that doing crafts is the least popular hobby at her school. Yovani estimates that about 200 students in the school favor playing sports as a hobby. Do you agree?

Accepted Answer

No, I used a proportion to find the number of students in the school who likely to prefer to play sports. 23/80 = 115/400; 115 students

Answer

Yes, I used a proportion to find the number of students in the school who likely to prefer to play sports. 23/80 = 200/400; 200 students

Question 13

The two data sets show the number of days that team members trained before a 5k race. What inference can you draw by comparing the median?

Accepted Answer

Team B members generally trained for more days than Team A members

Answer

There is more variability in the number of days that Team A members trained because the IQR for Team A is greater than the IQR for Team B.

Answer

There is more variability in the number of days that Team B members trained because the IQR for Team B is greater than the IQR for Team A.

Answer

Team A members generally trained for more days than Team B members

Question 14

The dot plots show how long it took students in Mr. Chauncey's two science classes to finish their science homework last night. Find the means to make an inference about the data.

Accepted Answer

The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.

Answer

The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.

Answer

The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.

Answer

The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.

Question 15

Becky wants to know if she should sell cranberry muffins at her bakery. She asks every customer who buys blueberry muffins if they would buy cranberry muffins. Is this a representative sample?

Accepted Answer

No, it does not include people who would buy cranberry muffins but do not like blueberry muffins

Answer

Yes, it does not include people who would buy cranberry muffins but do not like blueberry muffins

Answer

Yes, it does include people who would buy cranberry muffins but do not like blueberry muffins

Answer

No, it does include people who would buy cranberry muffins but do not like blueberry muffins

Question 16

_______ is a part of a group being surveyed.

Accepted Answer

Sample

Answer

Population

Answer

Random Sample

Answer

Quartile

Question 17

A student wants to know which type of pizza the students at his high school prefer. Which option would give a unbiased, representative sample:

Accepted Answer

Asking 10 random students from each homeroom.

Answer

Asking all the students in the hot lunch line.

Answer

Asking every other student who gets off a school bus.

Answer

Asking all the 10th graders.

Question 18

Asking the people with the same characteristics as the people in the population.

Accepted Answer

representative sample

Answer

people in your school

Answer

friends only sample

Answer

valid inference

Samples and Population Inference

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