12. Indicate which type of sampling design is being utilized in each of the foll

Question

12. Indicate which type of sampling design is being utilized in each of the following scenarios.

1. Obtain a list of all 300 students in an introductory engineering class. Give each student a number 1 through 300. Use a random number generator to randomly select a sample of 25 students.

2. Obtain a list of all undergraduate students at Miami University that are majoring in statistics. Pick a random starting point on the list of students and then select every 20th student until a sample of size 50 is produced.

3. Each 11th grade homeroom in a large high school contains 30 students. Randomly select 5 homerooms and sample every student in that homeroom to get a sample of 150 11th grade students.

4. University undergraduate students can be classified as freshmen, sophomores, juniors, or seniors. Compile a list of all freshmen, sophomores, juniors, and seniors. Randomly select 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors to produce a sample of size 200.

13.Indicate the type of bias that could most notably affect the results of each survey.

1. A researcher is interested in finding out what University students think about the food at the Rec Center. The researcher stands outside the Rec for an hour and randomly surveys every 10th person that leaves the Rec center.

2. A researcher is interested in determining what percentage of residents in Los Angeles watch at least 5 hours of television per day. The researcher randomly selects 50 residents from the phone book and calls these residents.

3. A researcher is interested in finding out the percentage of homeowners in Los Angeles that watch television after work. The researcher randomly selects 50 households and mail them a survey. Not all of the households selected return the survey.

14.Determine whether the following are examples of Statistics or Parameters.

1. The average ACT score for all University students in the incoming class of 2020.

2. The true proportion of University students that live on campus.

3. From a random sample of 75 children under the age of 10, a nutritionist obtains a sample mean of 2993 milligrams of sodium consumed.

4. The true proportion of undergraduate students at University that have engaged in binge drinking at least once during their time as a student.

5. A simple random sample of 1,122 adults with children under the age of 18 was obtained, and 337 of those adults reported eating dinner together with their families seven nights a week.

6. The true mean weight of all University undergraduate students.

Explanation / Answer

Question 12:

Part 1: It is Simple Random Sampling (under the category Probability Sampling Technique). In this a target population is identified. Each member of this population has equal probability to get picked. Hence desired number of sample is selected from this population randomly.

Part 2: It is Sytematic Sampling (under the category Probability Sampling Technique). In this case all elements of target population are put in a list and then every Nth element is chosen to make a sample.

Part 3: It is Cluster Sampling (under the category Probability Sampling Technique). In this case existing subgroups of population are identified. After identification, some of these subgroups are randomly selected. In these subgroups every member makes element of a sample.

Part 4: It is Stratified Sampling (under the category Probability Sampling Technique). In this a target population is divided into identified subgroups. Now sample from each subgroup is taken in proportion to the number of elements in each of these subgroups.

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