In: Statistics and Probability
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 an α of 0.10? The moisture content data
are below.
central | top |
61.7 63.6 60.2 62.5 61.6 62.8 62.3 |
62.7 63.6 60.9 60.2 62.7 63.7 62.5 |
a) What is the appropriate test statistic?
---Select: na, z-test, One-Sample t-test, Independent-Samples
t-test, or Related-Samples t-test
b)
Condition 1:
---Select: central portion, wheat maturation, moisture content, top
portion, or wheat head
Condition 2:
---Select--- central portion, wheat maturation, moisture content,
top portion, or wheat head
c) Input the appropriate value(s) to make a
decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
p-value? = ; Decision?: ---Select:
Reject H0 Fail to reject H0
d) Using the SPSS results,
compute the corresponding effect size(s) and indicate
magnitude(s).
If not appropriate, input and/or select "na" below.
d =? ; ---Select: na, trivial effect, small
effect, medium effect, or large effect
r2 =? ; ---Select--- na, trivial
effect, small effect, medium effect, or large effect
e) Make an interpretation based on the
results.
(a)The central portion of the wheat head had significantly more moisture than the top portion.
(b)The central portion of the wheat head had significantly less moisture than the top portion.
(c)There was no significant moisture difference between the central and top portion of the wheat head.