MATH 225N WEEK 1 ASSIGNMENT SAMPLING METHODS – QUESTIONS AND ANSWERS

MATH 225N WEEK 1 ASSIGNMENT SAMPLING METHODS –

QUESTIONS AND ANSWERS

Questions

1. Assume that 80 houses are present in the form of a grid consisting of 10 columns

and 8 rows. If a loud speaker is placed just before the first row, which sampling method works

the best to select a sample of houses if we want to get an estimate of the average loudness

(measured in decibels) near all the 80 houses?

Select the correct answer below:

Simple Random Sampling

Stratified Sampling using the rows of the houses as strata

Cluster Sampling using the rows of the houses as clusters

Convenience Sampling

2. Angela is studying the mean blood pressure of all students attending her college. She collects data from the 38 students in her statistics class. Which type of sampling is used?

Select the correct answer below:

Cluster sampling

Stratified sampling

Systematic sampling

Convenience sampling

3. A town planner is interested in getting some demographic data about the households in the city. The

city has four wards with the following numbers of households: ward A has 2,107, ward B has 903, ward C has 1,505, and ward D has 1,499. The budget for the project allows the planner to

survey 100 households. She plans to use a stratified sampling method. What number of households

should be chosen from ward B? Enter a whole number.

903/2107+903+1505+1499 = 903/6014 x 100 = 15

4. Donald is studying the eating habits of all students attending his school. He samples the

population by dividing the students into groups by grade level and randomly selecting a

proportionate number of students from each group. He then collects data from the sample.

Which type of sampling is used?

Select the correct answer below:

Systematic sampling

Convenience sampling

Stratified sampling

Cluster sampling

5. An executive for a large national restaurant chain with multiple locations in each

of 513 counties wants to personally sample the cleanliness of the chain's restaurants

throughout the country by visiting restaurants. The executive wants a good-quality sample but

wants to minimize travel time and expenses. Which of the following sampling methods would

be most appropriate?

Select the correct answer below:

Obtain a convenience sample by visiting the 100 restaurants that are closest to the executive's office.

Obtain a systematic sample by selecting every 20th restaurant from a list that orders all restaurants by date

of opening.

Obtain a stratified sample by visiting 1 randomly selected restaurant in every county.

Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those

counties.

6. When considering different sampling methods, stratified sampling includes the steps: _______.

Select the correct answer below:

divide the population into groups; use simple random sampling to identify a proportionate number of

individuals from each group

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