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Chapter 12: Q. AP4.23 (page 831)

Which sampling method was used in each of the following settings, in order from I to IV?

I. A student chooses to survey the first 20 students to arrive at school.

II. The name of each student in a school is written on a card, the cards are well mixed, and 10 names are drawn.

III. A state agency randomly selects 50 people from each of the state’s senatorial districts.

IV. A city council randomly selects eight city blocks and then surveys all the voting-age residents on those blocks.

a. Voluntary response, SRS, stratified, cluster

b. Convenience, SRS, stratified, cluster

c. Convenience, cluster, SRS, stratified

d. Convenience, SRS, cluster, stratified

e. Cluster, SRS, stratified, convenience

Short Answer

Expert verified

The correct answer is option (b) Convenience, SRS, stratified, cluster.

Step by step solution

01

Concept introduction

In quantitative tests, segmentation is the technique of selecting a predefined dataset from a huge population. Vary based on the type of assessment being undertaken, the measures taken to recruit from a general community may include simple chance picking or multi - stage sampling.

02

Explanation

In each of the following settings, from I to IV, we need to know which sampling method was utilised.

Because the first twenty students are conveniently chosen, the convenience sample or voluntary response sample is employed in I statement. Because every individual has an equal probability of being chosen, a simple random sample is utilised in the second assertion.

Because the states are the independent subgroups, stratified random sampling is used in the Ill statement.

Cluster sampling is employed in the IV statement because the subgroups are city blocks. As a result, option (b) is the proper option based on the order of sampling methods employed in the statements.

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Most popular questions from this chapter

Braking distance, again How is the braking distance for a car related to the amount of tread left on the tires? Here are the braking distances (measured in car lengths) for a car making a panic stop in standing water, along with the tread depth of the tires (in 1/32inch):

Tread depth (1/32 inch)Breaking distance (car lengths)119.7109.8910.1810.4710.8611.2511.8412.4313.6115.2

a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.

b. Use the model from part (a) to calculate and interpret the residual for the trial when the tread depth was 3/32 inch.

Multiple Choice Select the best answer for Exercises 23-28. Exercises 23-28 refer to the following setting. To see if students with longer feet tend to be taller, a random sample of 25students was selected from a large high school. For each student, x=foot length and y=height were recorded. We checked that the conditions for inference about the slope of the population regression line are met. Here is a portion of the computer output from a least-squares regression analysis using these data:

Which of the following is the equation of the least-squares regression line for predicting height from foot length?

a. height^=10.2204+0.4117(foot length) height^=10.2204+0.4117(foot length)

b.height^=0.4117+3.0867 (foot length) height^=0.4117+3.0867(foot length)

c. height^=91.9766+3.0867(foot length) height^=91.9766+3.0867(foot length)

d. height^=91.9766+6.47044 (foot length)height^=91.9766+6.47044(foot length)

e. height^=3.0867+6.47044(foot length)heiight^=3.0867+6.47044(foot length)

A large machine is filled with thousands of small pieces of candy, 40%of which are orange. When money is deposited, the machine dispenses60randomly selected pieces of candy. The machine will be recalibrated if a group of 60candies contains fewer than18that are orange. What is the approximate probability that this will happen if the machine is working correctly?

a. P(z<0.3−0.4(0.4)(0.6)60)Pz&1t;0.3-0.4(0.4)(0.6)60

b.P(z<0.3−0.4(0.3)(0.7)60)Pz&1t;0.3-0.4(0.3)(0.7)60

d. P(z<0.3-0.4(0.4)(0.6)60)Pz&lt;0.3-0.4(0.4)(0.6)60

c. P(z<0.3-0.4(0.4)(0.6)60)

Pz&lt;0.3-0.4(0.4)(0.6)60

e. P(z<0.4-0.3(0.3)(0.7)60)Pz&lt;0.4-0.3(0.3)(0.7)60

Two six-sided dice are rolled and the sum of the faces showing is recorded after each roll. Let X=the number of rolls required to obtain a sum greater than 7. If 100trials are conducted, which of the following is most likely to be the result of the simulation?

a.

b.

c.

d.

e.

Women who are severely overweight suffer economic consequences, a study has shown. They have household incomes that are $6710less than other women, on average. The findings are from an eight-year observational study of 10,039randomly selected women who were 16-24years old when the research began. If the difference in average incomes is statistically significant, does this study give convincing evidence that being severely overweight causes a woman to have a lower income?

a. Yes; the study included both women who were severely overweight and women who were not.

b. Yes; the subjects in the study were selected at random.

c. Yes, because the difference in average incomes is larger than would be expected by chance alone.

d. No; the study showed that there is no connection between income and being severely overweight.

e. No; the study suggests an association between income and being severely overweight, but we can’t draw a cause-and-effect conclusion.
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