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Week 2: Exercises and Homework Problems

1. Of the adult U.S. population, 36% has an allergy. A sample of 1200 randomly selected adults resulted in 33.2% reporting an allergy.

a. Describe the population.

b. What is the sample?

c. Describe the variable.

d. Identify the statistic and give its value.

e. Identify the parameter and give its value.

2. (HWK) A drug manufacturer is interested in the proportion of persons who have hypertension (elevated blood pressure) whose condition can be controlled by a new drug the company has developed. A study involving 5000 individuals with hypertension is conducted, and it is found that 80% of the individuals are able to control their hypertension with the drug. Assuming that the 5000 individuals are representative of the group who have hypertension, answer the following questions:

a. What is the population?

b. What is the sample?

c. Identify the parameter of interest.

d. Identify the statistic and give its value.

e. Do we know the value of the parameter?

3. A quality-control technician selects assembled parts from an assembly line and records the following information concerning each part: A: defective or non-defective
B: the employee number of the individual who assembled the part C: the weight of the part

a. What is the population?

b. Is the population finite or infinite?

c. What is the sample?

d. Classify the three variables as either attribute or numerical.

4. (HWK) Select 10 students currently enrolled at your college and collect data for these three variables: X: number of courses enrolled in
Y: total cost of textbooks and supplies for courses
Z: method of payment used for textbooks and supplies

a. What is the population?

b. Is the population finite or infinite?

c. What is the sample?

d. Classify the three variables as nominal, ordinal, discrete, or continuous

5. (HWK) A coin-operated coffee vending machine dispenser, on the average, 6 oz of coffee per cup. Can this statement be true of a vending machine that occasionally dispenses only enough to fill the cup half full (say, 4 oz)? Explain.

6. Consider this question taken from CNN Quick Vote on the Internet on February 16, 2005: What should be done with the “Star Trek: Enterprise” show? The response was as follows: 45%, Let it boldly go on; 55%, Beam it out of here for good.

a. What kind of survey was used?

b. Do you think these results could be biased?

7. (HWK) A random sample may be very difficult to obtain. Why?

8. (HWK) What is the random sample so important in statistics?

9. Classify each of the following as a probability or a statistics problem:

a. Determining whether a new drug shortens the recovery time from a certain illness

b. Determining the chance that heads will result when a coin is tossed

c. Determining the amount of waiting time required to check out a certain grocery store

d. Determine the chance that you will be dealt a “blackjack”

10. (HWK) Classify each of the following as a probability or a statistics problem:

a. Determining how long it takes to handle a typical telephone inquiry at a real estate office

b. Determining the length of life for the 100-watt light bulbs a company produces

c. Determining the chance that a blue ball will be drawn from a bowl that contains 15 balls, of which 5 are blue

d. Determining the shearing strength of the rivets that your company just purchased for building airplanes

e. Determining the chance of getting “doubles” when you roll a pair of dice

11. As a statistical graph the circle...
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