In: Statistics and Probability
Children of a certain age in the nation have an average weight
of 85 with a standard deviation of 9.5 lb. A complaint is made that
children are improperly fed in a boarding school. As evidence, a
sample of 14 children of the given age is taken from the boarding
school with an average weight of 89.44 lb. What can be concluded
with an α of 0.05?
a) What is the appropriate test statistic?
-na
z test
one sample t test
independent sample t test
related samples t test
b)
Population:
weight, boarding shcool, children in the nation, feeding method, or
children from boarding school
Sample:
---Select---weight, boarding school, children in the nation,
feeding method, or children from the boarding school
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: - 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---na,trivial effect,small effect, medium
effect,large effect
r2 = ______; ---Select---na, trivial effect,
small effect, medium effect, large effect
f) Make an interpretation based on the
results.
a.The weight of children in the boarding school was significantly higher than the weight of children in the nation. The b.weight of children in the boarding school was significantly lower than the weight of children in the nation. The c.weight of children in the boarding school was not significantly different than the weight of children in the nation.
Dear student, we can provide you with the solution of 4 sub question at a time.
a) option A is right, this is a Z test, since the population standard devaition is given
b) Population is all the children of the boarding school
c)
d)