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The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 4: Q. 89 (page 268)

A farmer is experimenting to determine which variety of apple trees, Fuji or Gala, will produce more fruit in his orchard. The orchard is divided into $20$ equally sized square plots. He has $10$ trees of each variety and randomly assigns each tree to a separate plot in the orchard. What is the experimental unit (s) in this study? a. The trees; b. The farmer; c. The plots d. The orchard e. The apples

Short Answer

Expert verified

The correct option is (c) The plots

Step by step solution

01

Given information

We have been given that the orchard is divided into $20$ equally sized square plots.

He has $10$ trees of each variety and randomly assigns each tree to a separate plot in the orchard.

02

Step 2:Explanation

The plots are the test units, as they are the objects subjected to the estimations. The assortment of apple trees is the informative variable since they advance alteration within the exploratory unit through two diverse medicines (Fuji or Occasion assortment). The agriculturist is the one conducting the trial, and the number of apples is the result to be analyzed. The plantation as a whole does not meddle with the test since each plot is being examined.

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Most popular questions from this chapter

Corn variety $1$ yielded $140$ bushels per acre last year at a research farm. This year, corn

variety $2$ , planted in the same location, yielded only $110$ bushels per acre. Based on these

results, is it reasonable to conclude that corn variety $1$ is more productive than corn variety

$2$ ?

a. Yes, because $140$ bushels per acre is greater than $110$ bushels per acre.

b. Yes, because the study was done at a research farm.

c. No, because there may be other differences between the two years besides the corn

variety.

d. No, because there was no use of a placebo in the experiment.

e. No, because the experiment wasn’t double-blind.

Wording bias Comment on each of the following as a potential sample survey question.

Is the question clear? Is it slanted toward a desired response?

a. “Some cell phone users have developed brain cancer. Should all cell phones come with

a warning label explaining the danger of using cell phones?”

b. “Do you agree that a national system of health insurance should be favored because it

would provide health insurance for everyone and would reduce administrative costs?”

c. “In view of escalating environmental degradation and incipient resource depletion,

would you favor economic incentives for recycling of resource–intensive consumer

goods?”

Go Blue! Michigan Stadium, also known as "The Big House," seats over $100, 000$ fans for a football game. The University of Michigan Athletic Department wants to survey fans about concessions that are sold during games. Tickets are most expensive for seats on the sidelines. The cheapest seats are in the end zones (where one of the authors sat as a student). A map of the stadium is shown.

a. Describe how to obtain a sample using stratified random sampling. Explain your choice of strata and why this method might be preferred to simple random sampling.

b. Describe how to obtain a sample using cluster sampling. Explain your choice of clusters and why this method might be preferred to simple random sampling.

High-speed Internet Laying fiber-optic cable is expensive. Cable companies want to make sure that if they extend their lines to less dense suburban or rural areas, there will be sufficient demand so the work will be cost-effective. They decide to conduct a survey to determine the proportion of households in a rural subdivision that would buy the service. They select a simple random sample of $5$ blocks in the subdivision and survey each family that lives on one of those blocks.

a. What is the name for this kind of sampling method?

b. Give a possible reason why the cable company chose this method.

Animal testing (1.1) “It is right to use animals for medical testing if it might save human lives.” The General Social Survey asked $1152$ adults to react to this statement. Here is the two-way table of their responses:

Opinion about using animals for medical testing :

	Male	Female	Total
Strongly agree	$76$	$59$	$135$
Agree	$270$	$247$	$517$
Neither agree nor disagree	$87$	$139$	$226$
Disagree	$61$	$123$	$184$
Strongly disagree	$22$	$68$	$90$
Total	$516$	$636$	$1152$

a. Construct segmented bar graphs to display the distribution of opinion for males and for females. b. Is there an association between gender and opinion for the members of this sample? Explain your answer

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