Please use the following information to answer questions 7a-7c: 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
Please use the following information to answer questions 7a-7c:
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 of x̅ = 23.8 years with a variance of s2 = 67.5.
Determine whether the average age of the library books is significantly greater than 20 years. Use a one-tailed test with α = .01.
7a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n = 30 (MUST SHOW WORK FOR THIS PROBLEM)?
a. Ho: µ ≥ 20, H1: µ < 20
b. Ho: µ ≤ 20, H1: µ > 20
c. Ho: µ > 20, H1: µ ≤ 20
d. Ho: µ = 20, H1: µ ≠ 20
7c. Compute the test statistic (t-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).
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