The stem diameter of wheat is important because easy breakage ofthe wheat can interfere with harvesting the crop. The diameter ofwheat is known to be normally distributed with a mean of 1.9 mm. Anagronomist hypothesizes that the new fertilizer being used isincreasing plant stem diameter. After 5 days from the flowering ofthe wheat, the agronomist measures the diameters (mm) of theplants. What can the agronomist conclude with an α of 0.01? Thewheat diameters are as follows:
1.8, 2.6, 2.4, 1.7, 2.3, 2.5, 1.9, 2, 3, 1.2.
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-testRelated-Samples t-test
b)
Population:
---Select--- weeks stem diameter the new fertilizer sample of wheatgrown average wheat
Sample:
---Select--- weeks stem diameter the new fertilizer sample of wheatgrown average wheat
c) Compute the appropriate test statistic(s) tomake a decision about H0.
(Hint: Make sure to write down the null and alternative hypothesesto help solve the problem.)
critical value =Â Â ; test statistic =
Decision:Â Â ---Select--- Reject H0 Fail to reject H0
d) If appropriate, compute the CI. If notappropriate, input \"na\" for both spaces below.
[  ,  ]
e) Compute the corresponding effect size(s) andindicate magnitude(s).
If not appropriate, input and/or select \"na\" below.
d =Â Â ; Â Â ---Select--- na trivialeffect small effect medium effect large effect
r2 =Â Â ; Â Â ---Select--- natrivial effect small effect medium effect large effect
f) Make an interpretation based on theresults.
The wheat grown with the new fertilizer has a significantlylarger diameter than average wheat.
The wheat grown with the new fertilizer has a significantlysmaller diameter than average wheat.   Â
The wheat grown with the new fertilizer did not have asignificantly different diameter than average wheat.
