Lesson 22 Practice Quiz B

An athletic director wants to add two new sports at the middle school. She selects a random sample of students to survey to help her decide which sports to add.

A random sample from which of the below groups is most likely to be representative of the student population in middle school?

• students who are in seventh-grade homerooms

• students whose first class is in the school library

• students who currently participate in a middle school sport

• students whose names appear in the middle school directory

The manager of a local movie theater wants to use a survey to learn whether his customers prefer comedy or action movies.

Determine if the sample below is likely to represent the population of movie theater customers:

Choose one fourth of customers' names out of a hat without looking

• Yes

• No

The manager of a local movie theater wants to use a survey to learn whether his customers prefer comedy or action movies.

Determine if the sample below is likely to represent the population of movie theater customers:

Choose every customer who comes in on Monday

• Yes

• No

The manager of a local movie theater wants to use a survey to learn whether his customers prefer comedy or action movies.

Determine if the sample below is likely to represent the population of movie theater customers:

Choose every tenth female customer

• Yes

• No

The manager of a local movie theater wants to use a survey to learn whether his customers prefer comedy or action movies.

Determine if the sample below is likely to represent the population of movie theater customers:

Choose every customer who attends a comedy movie

• Yes

• No

A community group wants to determine its citizens' support for a tax increase to pay for building a new park.

Which sample is likely to be most representative of the population?

• one hundred people selected at random from a list of registered voters

• every odd-numbered house within three blocks of the proposed park

• a random sample of fifty people walking into the local garden center

• every fifteenth person on a list of names of community residents

The owner of a deli is deciding which new sandwich to add to her lunch menu. She surveys 28 lunch customers by selecting four customers at random on each of seven days during one week. Based on the data, the owner concludes that about three times as many of her lunch customers will prefer schnitzel sandwiches to pastrami sandwiches.

The ratio of people surveyed who prefer Israeli schnitzel to Pastrami is about __________.

• 2 to 1

• 3 to 1

• 4 to 1

The owner of a deli is deciding which new sandwich to add to her lunch menu. She surveys 28 lunch customers by selecting four customers at random on each of seven days during one week. Based on the data, the owner concludes that about three times as many of her lunch customers will prefer schnitzel sandwiches to pastrami sandwiches.

The owner's conclusion is reasonable because all of the lunch customers in the deli over the seven days _______________.

• took part in the survey

• were equally likely to order sandwiches

• had an equal chance of being surveyed

A scientist is studying three types of fish on a random summer day and asks people fishing at a lake how many of each of the three types of fish they caught. In all, she records 211 lake trout, 189 smallmouth bass, and 21 pike caught that day. The scientist concludes that pike represent about 5% of the fish in the lake.

Which is the most likely reason why the scientist's conclusion could be flawed?

• The number of pike caught was not exactly 5% of the total of the three types caught.

• There may have been more representative data collected on a different day.

• There may have been more than three types of fish that were caught in the lake.

• The number of pike caught is too small a number from which to draw a conclusion.