Question

A given strain of mice were injected with the same amount of tumor pulp that came from a large tumor excised from another mouse. After the tumor injections, the mice were then randomly injected with one of two chemotherapy treatments (B or D). Twenty days after the chemotherapy injection, the tumor volumes (in cubic centimeters) were measured. Researchers hypothesize that treatment D will be more effective than treatment B. What can be concluded with α = 0.01? The results are below:

treatment B	treatment D
1 = 0.39 1 = 0.26 n1 = 11	2 = 0.68 2 = 0.23 n2 = 14

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- treatment B chemotherapy mice tumor pulp treatment D
Condition 2:
---Select--- treatment B chemotherapy mice tumor pulp treatment D

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--- 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/or 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.

Treatment D was significantly more effective than treatment B.

Treatment B was significantly more effective than treatment D.     

There is no significant effectiveness difference between treatment B and D.

Answer 1

a) What is the appropriate test statistic?
Independent-Samples t-test

c)

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.

The 99% confidence interval is -0.565<μ1​−μ2​<−0.015.

f) Make an interpretation based on the results.

There is no significant effectiveness difference between treatment B and D.