In Exercises 1 and 2, Determine Whether the Data Is Collected from a Population Or a Sample

Name______Date______

In Exercises 1 and 2, determine whether the data is collected from a population or a sample. Explain your reasoning.

1.the number of popcorn kernels in 25 bags of popcorn

2.the college degrees of every employee at the hospital

In Exercises 3 and 4, identify the population and sample. Describe the sample.

3.In a university, a survey of 1641 students found that 479 of them do not know
the name of their college's mascot.

4.In the United States, a survey of 1000 households with at least one child found that 874 of them have at least two computers.

In Exercises 5 and 6, determine whether the numerical value is a parameter or a statistic. Explain your reasoning.

5.On a high school football team, 2% of the players are vegetarians.

6.The average amount of the surveyed utility bills is $176.42.

7.You roll a six-sided die 5 times and get all ones. The probability of this happening is, so you suspect this die favors ones. The die maker claims the die does not favor ones. You simulate rolling the die 30 times by repeatedly drawing 100 samples of size 30. The histogram shows the results.

a.What should you conclude when you roll the actual die 30 times and
get 6 ones?

b.What should you conclude when you roll the actual die 30 times and
get 12 ones?

Name______Date______

In Exercises 1 and 2, identify the type of sample described.

1.A bank wants to know whether its drive-thru customers are satisfied with
the service. Customers receive a code on their receipt that allows them to
go online and fill out a survey.

2.A school wants to know whether high school teachers prefer before-school
or after-school faculty meetings. Ten teachers with classrooms near the
front office are surveyed.

In Exercises 3 and 4, identify the type of sample and explain why the sample
is biased.

3.Every fifth customer who walks into a locally owned hardware store answers
a survey that asks for opinions about lowering taxes for locally owned businesses to increase the likelihood that they can stay open for business.

4. A fitness center wants to find out whether its members would sign up for an afternoon yoga class. It surveys the first twenty members on the alphabetized membership list.

In Exercises 5 and 6, determine whether the sample is biased. Explain your reasoning.

5.Every fourth passenger who boards an airplane is asked whether they like the
new method of seat assignment.

6.Your teacher is choosing 4 students to participate in a pizza-eating contest.
The names of all 30 students are put in a hat and four names are randomly
drawn from the hat.

In Exercises 7 and 8, explain why the survey question may be biased or otherwise introduce bias into the survey. Then describe a way to correct the flaw.

7.A guidance counselor asks high school students, "Do you miss school often?”

8.“The fish being caught in our lake are found to have lesions, which could be
toxic when eaten. Do you think the city should address this health problem?”