Inferences and Predictions Answers

The Hamden board of education wants to know how the community feels about building a new media center for the middle school. They called every tenth person on the registration list of 7,300 voters until they had called a total of 40 voters. Which of the following are true of the sample of 40 voters? Check all that apply.

When Andrei surveyed 36 random seventh-grade students in the lunchroom, he found that 7 out of 9 would like to try or have already tried snorkeling. Using proportional reasoning, about how many of the 810 seventh-grade students in his school would like to snorkel?

In a school with 2,000 students, a random sample of 120 students were asked which fruit is their favorite. Their responses are shown in the table below.Survey ResponsesFavorite FruitNumber of StudentsBanana23Apple18Orange34Peach27Pear18Using proportional reasoning, about how many students out of the 2,000 would you expect to select an orange as their favorite fruit?

The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?

The city of Hamden received money for improvements of the town’s park. The park committee polled a random sample of 75 residents from the town. Of the 75 residents, 27 would like to see more trees planted in the park. From this information, what can be inferred?

Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.Which statements are true? Check all that apply.

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7What is the mean of the data set rounded to the nearest tenth?

While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below.Children in 50 HouseholdsNumber of ChildrenNumber of Households051112133104952Using a proportion, what can you infer about the number of households in her town that have more than three children?

Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars. Which sampling option might they choose to survey the community?