Question

As part of a study of wheat maturation, an agronomist selected a sample of wheat plants at random from a field plot. For each plant, the agronomist measured the moisture content from two locations: one from the central portion and one from the top portion of the wheat head. The agronomist hypothesizes that the central portion of the wheat head has more moisture than the top portion. What can the agronomist conclude with α = 0.01? The moisture content data are below.

central	top
62.7 63.6 60.9 63.1 62.7 63.7 62.5	61.7 63.6 60.2 62.9 61.6 62.8 62.3

Condition 1:

top portion

moisture content

wheat head

central portion
Condition 2:
wheat maturation

top portion

wheat head

central portion

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
test statistic =


d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
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Answer 1

To test whether the central portion of the wheat head has more moisture than the top portion,

let us denote the difference

d = moisture content in the central portion - moisture content in the top portion

Condition 1 : central portion

Condition 2 : top portion

c)

d)