Examine the following information:

Sample 1 Sample 2 ni 15 10 –x i 12 7 si 3 4

a. Construct a 95% confidence interval for m1  m2.

b. Calculate the test statistic that would be used to determine if m1  m2  The upper confidence limit.
Given this, what would the result of the test be if you wish to test m1  m2 Any value larger than the upper confidence limit?

c. Calculate the test statistic that would be used to determine if m1  m2  The lower confidence limit.
Given this, what would the result of the test be if you wish to test m1  m2 Any value smaller than the lower confidence limit?

d. Given your answers to parts b and

c, how could you use the confidence interval to conduct a two-tailed hypothesis test?