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Chapter 10: Q. AP3.11 (page 702)

An agricultural station is testing the yields for six different varieties of seed corn. The station has four large fields available, located in four distinctly different parts of the county. The agricultural researchers consider the climatic and soil conditions in the four parts of the county as being quite different, but are reasonably confident that the conditions within each field are fairly similar throughout. The researchers divide each field into six sections and then randomly assign one variety of corn seed to each section in that field. This procedure is done for each field. At the end of the growing season, the corn will be harvested, and the yield (measured in tons per acre) will be compared. Which one of the following statements about the design is correct?

a. This is an observational study because the researchers are watching the corn grow.

b. This a randomized block design with fields as blocks and seed types as treatments.

c. This is a randomized block design with seed types as blocks and fields as treatments.

d. This is a completely randomized design because the six seed types were randomly assigned to the four fields.

e. This is a completely randomized design with24迟谤别补迟尘别苍迟蝉鈥�6 seed types and 4 fields.

Short Answer

Expert verified

The correct option is (b) this is randomized block design with field as blocks and seed types as treatments.

Step by step solution

01

Given Information

We have to determine the correct statement.

02

Simplification

Corn has a variety of treatments given to it, as well as varietals. As a result, the study is an experiment rather than an observational study. Aside from that, the climate and soil conditions have an impact on a variety of fields. All of them are then used as blocks, resulting in randomized block experiments.

Hence, the correct option is (b) this is randomized block design with field as blocks and seed types as treatments

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Most popular questions from this chapter

A beef rancher randomly sampled 42 cattle from her large herd to obtain a 95%confidence interval for the mean weight (in pounds) of the cattle in the herd. The interval obtained was (1010,1321). If the rancher had used a 98%confidence interval instead, the interval would have been

a. wider with less precision than the original estimate.

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Researchers want to evaluate the effect of a natural product on reducing blood pressure. They plan to carry out a randomized experiment to compare the mean reduction in blood pressure of a treatment (natural product) group and a placebo group. Then they will use the data to perform a test of H0:渭T鈭�渭P=0versus Ha:渭T鈭�渭P>0, where 渭T= the true mean reduction in blood pressure when taking the natural product and 渭P = the true mean reduction in blood pressure when taking a placebo for subjects like the ones in the experiment. The researchers would like to detect whether the natural product reduces blood pressure by at least 7points more, on average, than the placebo. If groups of size 50are used in the experiment, a twosample t test using 伪=0.01will have a power of 80%to detect a 7-point difference in mean blood pressure reduction. If the researchers want to be able to detect a 5-point difference instead, then the power of the test

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