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FA3.4: Inferences

Total questions: 20

Worksheet time: 53mins

Name
Class
Date
1.

A toy store owner tracking how much kids spend each month on toys. Which choice best represents a population?

a)

All of the kids who buy toys.

b)

227 wealthy kids.

c)

228 boys age 7 - 15

d)

235 kids from age 10 to 15.

2.
The manager of a book store surveys people who buy mystery novels to see if the store should expand its hours.  What is the population?
a)

People who visit the bookstore.

b)

People who buy mystery novels.

c)

Residents of the town

d)

People who like to read.

3.

Identify the population and sample. A quality control engineer is curious about the thickness of paint on a car at her factory. She randomly selects 30 points on the car and measures the paint thickness at each of those points.

a)

The population is the 30 selected points; the sample is every car at the factory.

b)

The population is every car at the factory; the sample is the 1 car she is curious about.

c)

The population is every car at the factory; the sample is the 30 selected points.

4.

Identify the population and sample:

A city council member wanted to know how her constituents felt about a planned rezoning. She randomly selected 75 names from the city phone directory and conducted a phone survey.

a)

The population is everyone listed in the city phone directory; the sample is the 75 people selected.

b)

The population is residents of the city; the sample is the registered voters in the city.

c)

The population is registered voters in the city; the sample is everyone listed in the city phone directory.

5.

Identify the population and sample:

The state Department of Transportation wants to know about out-of-state vehicles that pass over a toll bridge with several lanes. A camera installed over one lane of the bridge photographs the license plate of every tenth vehicle that passes through that lane.

a)

The population is all of the vehicles that pass over the toll bridge; the sample is vehicles from the lane with the camera.

b)

The population is all of the vehicles that pass through the lane with the camera; the sample is the group of every tenth vehicle that passes through the lane.

c)

The population is all of the out-of-state vehicles; the sample is the vehicles that pass over the toll bridge.

6.
Manny wants to know how many students at CTMS enjoy solving math problems. What is the best sampling method?
a)
ask for 20 volunteers to discuss whether they enjoy solving math problems
b)
ask the last 20 people to arrive at CTMS 
c)
Randomly ask 2 students in the hallway
d)
Ask every 20th student that walks into school
7.
The Candlelit-Dinner Candle Store surveys its Monday customers to find out their opinion on a new scented candle.  Is this biased or unbiased?
a)

Biased

b)

Unbiased

8.

Biased or Random?


Joey wants to determine the favorite candy among all 7th graders. So he asks all the people who sit in his row in Math class.

a)

Biased sample

b)

Random sample

9.

Biased or Random?


Audi wants to find out how students get to school at Churchill so she places the names of all students into a fish bowl and pulls out 50 so she can survey them.

a)

Biased sample

b)

Random sample

10.

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?

a)

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

b)

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

c)

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

d)

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

11.
A student wants to know which type of pizza the students at his high school prefer. Which option would give a unbiased, representative sample:
a)

Asking all the students in the hot lunch line.

b)

Asking 10 random students from each homeroom.

c)

Asking every other student who gets off a school bus.

d)

Asking all the 10th graders.

12.

A manager samples receipts of every fifth person in line. Out of 50 people, 4 had a mispriced item. If 600 people go to the store each day, how many can you expect to have a mispriced item?

a)

50 people

b)

80 people

c)

48 people

d)

12 people

13.

Jenny randomly selects 20 boxes of crayons from the shelf and finds two boxes with at least one broken crayon. If the shelf holds 130 boxes, how many would you expect to have at least one broken crayon?

a)

10 boxes

b)

13 boxes

c)

6.5 boxes

d)

2 boxes

14.

A middle school has 490 students. Mae surveys a random sample of 60 students and finds that 24 of them have dogs. How many students are likely to have dogs?

a)

8 students

b)

40 students

c)

192 students

d)

196 students

15.

Pizza Hut surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students in the 9th grade can be expected to prefer cheese pizza?


*NOTE: enter your answers as a number ONLY.

(a)  

16.

A random sample from the 6th and 7th grade student population was taken to determine which clubs were the most popular.

What percent of 6th graders are involved in the yearbook club?

(a)  

17.

Data is collected from a random sample of 40 people at the public library.  If the public library has 300 patrons, then which of the following conclusions can be drawn?

a)

Exactly 42% of the library patrons chose a mystery.

b)

Non-fiction and science fiction represent over half of the selections.

c)

Over 25% of the library patrons chose a science fiction book.

d)

136 total patrons can be expected to choose a non-fiction book.

18.

A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store.  Forty customers are surveyed, and 26 are satisfied.  What conclusion can be drawn for the 800 daily customers?

a)

65% of the customers are unsatisfied with the cleanliness of the store.

b)

Of the 800 customers, 520 would be satisfied with the cleanliness of the store.

c)

40% of the customers are satisfied with the cleanliness of the store.

d)

25% of the customers are not satisfied with the cleanliness of the store.

19.

An internet company randomly selected 50 of its customers and asked them how many hours per week they used the internet. Of those surveyed, 28 use the internet more than 15 hours per week. Based on the data, if the company has 800 subscribers, which equation will help you find out how many use more than 15 hours per week?

a)

2850=x800\frac{28}{50}=\frac{x}{800}

b)

28800=x50\frac{28}{800}=\frac{x}{50}

c)

x28=80050\frac{x}{28}=\frac{800}{50}

d)

x800=5028\frac{x}{800}=\frac{50}{28}

20.

A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey. Which equation could be used to determine how many students can be expected to oppose school uniforms if there are 1,200 students in the district?

a)

x80=111200\frac{x}{80}=\frac{11}{1200}

b)

801200=x11\frac{80}{1200}=\frac{x}{11}

c)

1180=1200x\frac{11}{80}=\frac{1200}{x}

d)

x1200=1180\frac{x}{1200}=\frac{11}{80}