A random sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 significance level, is there a difference between the population means?
a. State the null hypothesis and the alternate hypothesis
b. What is the critical value of t?
c. What is the computed value of t?
d. Interpret the result. What is the p-value?
e. What assumption needs to be made about the distribution of the differences?