Question

In: Statistics and Probability

The librarian at the local elementary school claims that, on average, the books in the library...

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)

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