/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 72 In the cornfield An agriculture ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 72 (page 265)

In the cornfield An agriculture researcher wants to compare the yield of5corn varieties: A, B, C, D, and E. The field in which the experiment will be carried out increases in fertility from north to south. The researcher therefore divides the field into25plots of equal size, arranged in5east鈥搘est rows of5 plots each, as shown in the diagram.

a. Describe a randomized block design for this experiment. Justify your choice of blocks.

b. Explain why a randomized block design might be preferable to a completely randomized design for this experiment.

Short Answer

Expert verified

(a) A randomized block experiment is a way in which a block can be randomly assigned to anyone but has similar characteristics.

(b) A randomized block design is preferred because it gives more accurate results.

Step by step solution

01

Part (a) Step 1: Given Information

We are given that the experiment has to be conducted to test the fertilizers in such a way that the fertility should increase north to south and we have to find out the random block experiment.

02

Part (a) Step 2: Explanation

A randomized block of experiments means grouping the blocks into two or more than two that have similar characteristics and then randomly assigning each block a treatment. It will be done in such a way that a random block is assigned to fertilizer A and another random block is assigned to fertilizer B and another random block is assigned to fertilizer C and then the remaining other blocks are assigned equally to D and E and lastly, compare the yield of corn in each specific way with each block having each fertilizer.

03

Part (b) Step 1: Given Information

We are given that the experiment has to be conducted to test the fertilizers in such a way that the fertility should increase north to south and we have to find out the reason for using randomized block design.

04

Part (b) Step 2: Explanation

According to the question, twenty-five plots are used and five fertilizers (A, B, C, D, and E) have to be tested in such a way that the fertility increases from north to south. So, for that, we can choose the trees randomly for the use of different fertilizers in such a way that other factors will not be able to affect the results of the experiment.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Boys don鈥檛 cry? Two female statistics students asked a random sample of 60 high school

boys if they have ever cried during a movie. Thirty of the boys were asked directly and the

other 30 were asked anonymously by means of a 鈥渟ecret ballot.鈥� When the responses were

anonymous, 63% of the boys said 鈥淵es,鈥� whereas only 23% of the other group said 鈥淵es.鈥�

Explain why the two percentages are so different.

iPhonesSuppose 1000iPhones are produced at a factory today. Management would like to ensure that the phones鈥� display screens meet their quality standards before shipping them to retail stores. Because it takes about 10minutes to inspect an individual phone鈥檚 display screen, managers decide to inspect a sample of 20phones from the day鈥檚 production.

a. Explain why it would be difficult for managers to inspect an SRS of 20iPhones that are produced today.

b. An eager employee suggests that it would be easy to inspect the last 20iPhones that were produced today. Why isn鈥檛 this a good idea?

c. Another employee recommends a different sampling method: Randomly choose one of the first50 iPhones produced. Inspect that phone and every fiftieth iPhone produced afterward. (This method is known as systematic random sampling.) Explain carefully why this sampling method is not an SRS.

Do you trust the Internet? You want to ask a sample of high school students the question 鈥淗ow much do you trust information about health that you find on the Internet鈥攁 great deal, somewhat, not much, or not at all?鈥� You try out this and other questions on a pilot group of 5students chosen from your class.

a. Explain how you would use a line of Table D to choose an SRS of 5students from the following list.

b. Use line 107to select the sample. Show how you use each of the digits.

When we take a census, we attempt to collect data from

a. a stratified random sample.

b. every individual chosen in a simple random sample.

c. every individual in the population.

d. a voluntary response sample.

e. a convenience sample.

Sampling the forestTo gather data on a 1200-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of 1410equally spaced circular plots over a map of the forest. A ground survey visited a sample of 10%of the plots.

a. Explain how you would use a random number generator to choose an SRS of 141plots. Your description should be clear enough for a classmate to carry out your plan.

b. Use your method from part (a) to choose the first 3plots.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.