In: Statistics and Probability
The librarian at the local elementary school claims that, on average, the books in the library are more than 20 years old. To test this claim, a student takes a sample of n=30 books and records the publication date for each. The sample produces an average age of M=23.8 years with a variance of s2 =67.5. Use this sample to conduct a one-tailed test with α=.01 to determine whether the average age of the library books in significantly greater than 20 years. Compute r2 and interpret..
Hypothesis Testing (Complete the four steps below)
STEP 1: State the hypotheses and set the alpha level (3 points)
STEP 2: Locate the critical region (3 points)
STEP 3: Compute the test statistic for the sample (6 points)
STEP 4: Make a decision and state your conclusion about H0 based on the result of step 3 (4 points) Compute and interpret r2. (4 points)