Nov 29, 2016

- Provide an appropriate response.
**1.**Define observational study and experiment. Define the terms “treatment group” and “control group” as part of your answer.*Possible answer*

- Determine whether the given value is a statistic or a parameter.
**2.**After taking the first exam, 15 of the student dropped the class.- Statistic
- Parameter

- Identify the number as either continuous or discrete.
**3.**The average height of all freshmen entering college in a certain year is 68.4 inches.- Continuous
- Discrete

- Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
**4.**Nationalities of survey respondents.- Ordinal
- Nominal
- Interval
- Ratio

**5.**Temperatures of the ocean at various depths.- Ratio
- Interval
- Nominal
- Ordinal

- Identify the sample and population. Also, determine whether the sample is likely to be representative of the population.
**6.**100,000 randomly selected adults were asked whether they drink at least 48 oz of water each day and only 45% said “yes”.- Sample: the 100,000 selected adults
- Not representative
- Population: all adults
- Representative
- Sample: all adults
- Population: the 100,000 selected adults

- Use critical thinking to develop an alternative conclusion.
**7.**A study of achievement scores by sixth-grade students on a standardized math test showed the three top scorers were all gifted piano players. Conclusion: Playing the piano leads to mathematical achievement.*Possible answer*

- Use critical thinking to address the key issue.
**8.**A researcher published this survey result: “74% of people would be willing to spend 10 percent more for energy from a non-polluting source”. The survey question was announced on a national radio show and 1,200 listeners responded by calling in. What is wrong with this survey?*Possible answer***9.**A researcher wished to gauge public opinion on gun control. He randomly selected 1000 people from among registered voters and asked them the following question: “Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?” Identify the abuse of statistics and suggest a way the researcher’s methods could be improved.*Possible answer*

- Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
**10.**Convert 0.328 to an equivalent fraction and percent.^{41}/_{125}, 32.8^{41}/_{125}, 3.28%^{8}/_{25}, 3.28%^{8}/_{25}, 32.8%

**11.**Convert 2.75 to an equivalent fraction and percent.- 2
^{3}/_{4}, 27.5% - 2
^{1}/_{2}, 275% - 2 ¾, 275%
- 2
^{1}/_{2}, 27.5%

- 2

- Solve the problem.
**12.**Alex and Juana went on a 95-mile canoe trip with their class. On the first day they traveled 19 miles. What percent of the total distance did they canoe?- 5%
- 0.2%
- 20%
- 500%

- Is the description an observational study or an experiment?
**13.**A TV show’s executives commissioned a study to gauge the impact of the show’s rating on the sales of its advertisers.- Observational study
- Experiment

**14.**A doctor performs several diagnostic tests to determine the reason for a patient’s illness.- Observational study
- Experiment

- Identify the type of observational study.
**15.**Researchers collect data by interviewing athletes who have won Olympic gold medals from 1980 to 1992.- None of these
- Retrospective
- Cross-sectional
- Prospective

- Identity which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
**16.**A tax auditor selects every 1000^{th}income return that is received.- Stratified
- Convenience
- Systematic
- Cluster
- Random

**17.**A pollster uses a computer to generate 500 random numbers, then interviews the voters corresponding to those numbers.- Systematic
- Stratified
- Convenience
- Random
- Cluster

**18.**To avoid working late, a quality control analyst simply inspects the first 100 items produced in a day.- Systematic
- Cluster
- Convenience
- Random
- Stratified

- Provide an appropriate response.
**19.**A market researcher obtains a sample of 50 people by standing outside a store and asking every 20^{th}person who enters the store to fill out a survey until she has 50 people. What sampling method is being used here? Will the resulting sample be a random sample? Will it be a simple random sample? Explain your thinking.*Possible answer***20.**A teacher at a school obtains a sample of students by selecting a random sample of 20 students from each grade. What kind of sampling is being used here? Will the resulting sample be a simple random sample of the population of students at the school? Explain your thinking.*Possible answer*

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