Children of a certain age in the nation have an average weight
of 86 with a variance of 92.16 lb. A complaint is made that
children are overfed fed in a municipal children's home. As
evidence, a sample of 24 children of the given age is taken from
the children's home with an average weight of 89.65 lb. What can be
concluded with an α of 0.05?
a) What is the appropriate test statistic?
---Select one--- (na, z-test, one-sample t-test,
independent-samples t-test, or related-samples t-test)
b)
Population:
---Select one--- (children in the nation, children from the
children's home, feeding method, children's home, or weight)
Sample:
---Select one--- (children in the nation, children from the
children's home, feeding method, children's home, or weight)
c) Obtain/compute the appropriate values to make a
decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
critical value = ; test statistic =
Decision: ---Select one--- (Reject H0 or Fail to reject
H0)
d) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[ , ]
e) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and select "na" below.
d = ; ---Select one--- (na, trivial effect,
small effect, medium effect, or large effect)
r2 = ; ---Select one--- (na,
trivial effect, small effect, medium effect, or large effect)
f) Make an interpretation based on the
results.
The weight of children in the children's home was significantly higher than the weight of children in the nation.The weight of children in the children's home was significantly lower than the weight of children in the nation. The weight of children in the children's home was not significantly different than the weight of children in the nation.
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