Quiz In Class

Title: Evaluating and Inference Sample Statistics

Grade: 1400-a Lesson: S4-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id Problem Options

1

A city has 50 city council members. A reporter polled a random sample of 20 city council members and found that 6 of those polled supported a specific bill. Based on the sample, which of the following is the best estimate of the number of city council members in the city who support the bill?

A) 6

B) 9

C) 15

D) 30

2

A random sample of 50 people from a town with a population of 14,878 were asked to name their favorite flavor of ice cream. If 7 people in the sample named chocolate as their favorite ice‑cream flavor, about how many people in the town would be expected to name chocolate?

A) 350

B) 10500

C) 7500

D) 2100

3

A sample consisting of adults who own televisions was selected at random for a study. Based on the sample, it is estimated that a certain percentage of all adults who own televisions use their televisions to watch nature shows, with an associated margin of error of [specific percentage]. Which of the following is the most reasonable conclusion about all adults who own televisions?

A) More than of all adults who own televisions use their televisions to watch nature shows.

B) Between and of all adults who own televisions use their televisions to watch nature shows.

C) Since the sample included adults who own televisions and not just those who use their televisions to watch nature shows, no conclusion can be made.

D) Since the sample did not include all the people who watch nature shows, no conclusion can be made.

4

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

A) The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.

B) The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community.

C) The mean number of children per household in the community is 2.4.

D) A determination about the mean number of children per household in the community should not be made because the sample size is too small.

5

There are 85 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 40% responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?

A) 34

B) 36

C) 38

D) 55

6

A random sample of 150 people from a town with a population of 16,978 were asked to name their favorite flavor of ice cream. If 12 people in the sample named chocolate as their favorite ice‑cream flavor, about how many people in the town would be expected to name chocolate?

A) 1426

B) 1358

C) 1523

D) 1625

7

To determine the mean number of children per household in a community, Haritha surveyed 50 families at a playground. For the 50 families surveyed, the mean number of children per household was 5.8.

A) 292

B) 290

C) 294

D) 298

8

A certain forest is 326 acres. To estimate the number of trees in the forest, a ranger randomly selects 10 different 3-acre parcels in the forest and determines the number of trees in each parcel. The numbers of trees in the sample acres are 23, 78, 56, 68, and 83. Based on the mean of the sample, which of the following ranges contains the best estimate for the number of trees in the entire forest?

A) 3352 to 3354

B) 3348 to 3350

C) 3345 to 3346

D) 3356 to 3360

9

A sample of 60 fourth-grade students was selected at random from a certain school. The 60 students completed a survey about the morning announcements, and 52 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?

A) All fourth-grade students in the school.

B) All students in the school.

C) All students in the state.

D) All fourth-grade students in the district.

10

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 200 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council’s survey?

A) The survey results are reliable and accurately reflect the opinions of all city residents.

B) The survey results provide strong evidence that all city residents are in favor of the dog park.

C) The survey results can be generalized to all city residents.

D) The survey results are limited to the opinions of city residents who own dogs.


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