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Question

For questions (1)-(3), fill in the blank to complete the statement.

1. The collection of the ages of all the U. S. first ladies when they married is a _______________.

a. Population

b. Sample

c. Parameter

d. Statistic

2. Suppose that the age of all the U. S. first ladies when they married was recorded. The mean age of U. S. first ladies when they married would be a __________________ .

a. Population

b. Sample

c. Parameter

d. Statistic

3. Researchers are interested in learning more about the age of women when they marry for the first time so they survey 500 married or divorced women and ask them how old they were when they first married. The collection of the ages of the 500 women when they first married is a_______________.

a. Population

b. Sample

c. Parameter

d. Statistic

4. Frances is interested in whether students at his college would like to see a portion of the campus preserved as green space. Using student numbers, he randomly contacts 300 students and receives a response from 75. Of those who responded, 64% favored the preservation of green space on campus. This scenario is describing what type of sampling bias?

a. Measurement bias

b. Survey bias

c. Voluntary response bias

d. Nonresponse bias

5. If it is being used to make inferences about a population, a good statistic (or estimator) should

a. Be derived from population data.

b. Be accurate and precise.

c. Show correlation.

d. None of the above.

6. Which of the following statements is **not** true about a sampling distribution?

a. It is the probability distribution of a statistic.

b. It is used for making inferences about a population.

c. It tells us how often we can expect to see particular values of our estimator

d. All the above statements are true

7. According to a snack cracker manufacturer, a batch of butter crackers has a defect rate of 8%. Suppose a quality inspector randomly inspects 500 crackers. Complete the following statement: The quality inspector should expect

________ defective crackers, give or take ______ crackers.”

a. 60; 16

b. 40; 6

c. 40; 16

d. 60; 12

8. There are four colors in a bag containing 500 plastic chips. It is known that 28% of the chips are green. On average, how many chips from a random sample of 50 (with replacement) would be expected to be green?

a. 18

b. 28

c. 14

d. Not enough information to determine expected value.

9. Suppose that New Mexico lawmakers survey 160 randomly selected registered voters to see if they favor stricter laws regarding motorcycle helmet use for riders over the age of 17. The lawmakers believe the population proportion in favor of changing the law is 6% (based on historical data and previous votes). Which of the following conditions for the Central Limit theorem are **not **met?

a. The population proportion is too small and will not have enough expected successes.

b. Relative to the population, the sample is not large enough.

c. The population proportion is too small and will not have enough expected failures.

d. None of the above, all the condition of the CLT are met.

Use the following information to answer questions (10)-(12). A pollotarian is a person who eats poultry but no red meat. A wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 200,000.

10. On average, what proportion of the guests would be expected to be pollotarian, give or take how many? Round to the nearest whole person.

a. There is not enough information given to calculate expected value.

b. 20 people, give or take 5 people

c. 15 people, give or take 4 people

d. 11 people, give or take 3 people

Chapter 7 Test A 7- 3