Question

A sample of five third-graders took a reading test. They then participated in a reading improvement program, and took the test again to determine whether their reading ability had improved. Following are the test scores for each of the students both before and after the program. You want to see whether the mean reading score increased after the program.

After: 67 68 78 75 84

Before: 59 63 81 74 78

a. By using all those information from the above state what kind of hypothesis test you should use.

b. State the null hypothesis and alternative hypothesis in formula and complete words.

c. Using MINITAB to find the p-value for the test.

d. At α = 0.05, what is the appropriate conclusion? Which type of error is possible? Write your conclusion.

e. Using MINITAB to find the 97% confidence interval for the difference between the two population means.

Answer 1

Solution: