Question

The mean height of adult males in the U.S is about 68.2" with a variance of 16.00". Suppose the mean height of a sample of 30 mentally disabled males was found to be 69.6". Researchers want to know if the height of mentally disabled males differs from the population. What can be concluded with α = 0.01?

a) What is the appropriate test statistic?
---Select from the options--- na z-test, one-sample t-test, independent-samples t-test, related-samples t-test

b)
Population:
---Select from the options--- height, mean height, mentally disabled males, population, U.S. males
Sample:
---Select from the options--- height, mean height, mentally disabled males, population, U.S. males

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.)
critical value =  ; test statistic =
Decision:  ---Select from the options--- Reject H0 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 from the options--- na, trivial effect, small effect, medium effect, large effect
r² =  ;   ---Select from the options--- na, trivial effect, small effect, medium effect, large effect

f) Make an interpretation based on the results.

The mentally disabled males are significantly taller than males in the U.S.

The mentally disabled males are significantly shorter than males in the U.S.  

  The height of mentally disabled males does not significantly differ from males in the U.S.

Answer 1