In: Statistics and Probability
Insulin binding capacity was measured for a sample of diabetic rats treated with a low dose of insulin and another sample of diabetic rats treated with a high dose of insulin, yielding the following sample statistics:
low dose: n1=11, Ybar1=1.37, S1=0.62
high dose: n2=13, Ybar2=1.05, S2=0.84
Means and standard deviations are in grams.
Consider the main t-test for population means
Ho: Mu1=Mu2. Ha: Mu1>Mu2. let alpha=0.05
a. Find the pooled test statistic t'. Find the P-value. Give the Critical Region. Make a decision about Ho.
b. Construct a 95% confidence interval for Mu1-Mu2.