In: Statistics and Probability
1.
A researcher conducts a survey of registered voters and divides the population by township before obtaining a sample. This sampling technique is called:
Select one:
a. Convenience sampling.
b. Systematic sampling.
c. Cluster sampling.
d. Stratified sampling.
2.
Suppose you were preparing a presentation on your department's budget expenses for next year. You have seven different budget categories and you wanted to create a graph that best compares the percentages of the total budget for each category. What type of graph would you use?
Select one:
a. A pie chart.
b. A horizontal histogram.
c. A frequency polygon.
d. A vertical histogram.
3.
Which of the following statements is NOT correct about using a sample?
Select one:
a. A sample is often faster to obtain than a census.
b. A sample is more accurate than a census.
c. It is often easier to obtain a sample over a census.
d. In some cases conducting a census is not possible so a sample is your only choice.
4.
Temperature readings at the North Pole are recorded over time and analyzed. Temperature data is an example of:
Select one:
a. Ratio data.
b. Nominal data.
c. Ordinal data.
d. Interval data.
5.
There is an outbreak of West Nile virus in your county carried by crows. In order to determine the number of crows that are likely to carry the virus, you propose to:
Select one:
a. Survey county residents and have them count the number of crows they see.
b. Take a census of crows and test them for West Nile virus.
c. Conduct a cluster sample based upon each township in the county.
d. Take a convenience sample of the crows located in one of the towns in the county.
1. Here if the samples are chosen from each town, then it is an
example of stratified sampling. If a sample of towns are
selected instead of all the towns, then it is an example of all
the towns, then it is an example of cluster sampling.
Hence, Option (d) or (c) is the correct choice. (Ans).
2. In order to compare the percentage of budget in each
category, we should construct a pie chart. Hence, Option (a)
is the correct choice. (Ans).
3. A sample is faster and easier to obtain but unlike census, it
will never give full information about the population, it's just a
representative. Hence, Option (b) is the only incorrect
statement. (Ans).
4. Temperature reading is an example of interval data.
Hence, Option (d) is the correct choice. (Ans).
5. Conducting a cluster sample based upon township is the
best possible sampling technique in the given scenario.
Hence, Option (c) is the correct choice. (Ans).