In: Statistics and Probability
Dr. Marcel was testing a potential treatment for Huntington disease on mice. She bred 46 mice that exhibited neurodegeneration (deterioration of the brain), and applied her treatment to 22 of the mice (the remaining 24 received no treatment and were labeled the “control group”). After 6 weeks, she measured the circumference of the brain from all mice. She was interested in testing if the average circumference of the brain differed between the treatment and control groups. Below is a summary of the results.
Treatment Group |
Control Group |
|
Mean |
1.3 cm |
1.6 cm |
Standard deviation |
0.3 cm |
0.5 cm |
Number of mice |
22 |
24 |
What is the correct conclusion based on these sample results? (Assume all conditions have been met).
a. |
We will reject the null hypothesis at the 5% significance level, but fail to reject the null hypothesis at the 2% significance level. |
|
b. |
We will reject the null hypothesis at the 10% significance level, but fail to reject the null hypothesis at the 5% significance level. |
|
c. |
We will fail to reject the null hypothesis at the 5% significance level. |
|
d. |
We will reject the null hypothesis at the 2% significance level, but fail to reject the null hypothesis at the 1% significance level. |
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