Multiple Samples Answers

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1
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A survey was conducted asking people about their favorite fruit. Which inferences about the population are true based on the data? Check all that apply.

A
About twice as many people prefer apples as prefer bananas.
B
Bananas are preferred much less frequently than apples or oranges.
C
Exactly twice as many people prefer oranges as prefer apples.
D
Exactly three times as many people prefer bananas as prefer oranges.
E
The samples show little variation for each fruit.
2
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Which ideas did you include in your response?

A
Both samples showed most people choosing oranges.
B
The mean of the frequencies of people choosing oranges is the greatest.
C
The samples showed little variation.
3

In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose oranges, and 21 chose bananas. In the second, 43 chose apples, 63 chose oranges, and 19 chose bananas. Marianne inferred that most people prefer oranges. Is this inference true based on the data? Explain.

Answer:

Marianne made an inference that is true based on the data. More than half of all the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.

5

Which inference is true?

A
More students spend 0-30 minutes on homework than spend 31-60 minutes.
B
More students spend 31-60 minutes on homework than spend 0-30 minutes.
C
About the same number of students spend 0-30 minutes on homework as spend 31-60 minutes.
D
More students spend 61-90 minutes on homework than spend 0-30 minutes.
9

Which are valid inferences? Check all that apply.

A
The second sample shows the same amount of each type of fish in the pond.
B
About twice as many trout were in the pond at the time the second sample was taken.
C
About the same number of bass were found in the two samples.
D
Fewer bass were in the pond at the time the second sample was taken.
E
About the same number of catfish were found in both samples.
10

Make an inference about which fish increased its predicted average population from Year 1 to Year 2.

A
All three types of fish increased their predicted average population.
B
Trout increased its predicted average population.
C
Bass increased its predicted average population.
D
None of the fish increased their predicted average population.

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