Question

Girls of a certain age in the nation have a mean weight of 85 with a standard deviation of 10.8 lb. A complaint is made that girls are underfed fed in a municipal children's home. As evidence, a sample of 25 girls of the given age is taken from the children's home with a mean weight of 89.41 lb. What can be concluded with α = 0.01?

a) What is the appropriate test statistic? (choose one of the following)

1. na 2. z-test 3. one-sample test 4. independent-samples t-test 5. related-samples t-test

b1)
Population: (choose one of the following)

1. weight 2. children's home 3. girls in the nation 4. feeding method 5. girls from the children's home

b2)
Sample: (choose one of the following)

1. weight 2. children's home 3. girls in the nation 4. feeding method 5. girls from the children's home

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:

1. Reject H0 or 2. 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 = ___________ ;   *(choose one)1. na 2. trivial effect 3. small effect 4. medium effect 5. large effect
r² = ___________ ;   *(choose one)1. na 2. trivial effect 3. small effect 4. medium effect 5. large effect

f) Make an interpretation based on the results. (choose one)

a. The weight of girls in the children's home was significantly higher than the weight of girls in the nation.

b. The weight of girls in the children's home was significantly lower than the weight of girls in the nation.  

c. The weight of girls in the children's home was not significantly different than the weight of girls in the nation.

Answer 1