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In: Statistics and Probability

A library system lends books for periods of 21 days. This policy is being reevaluated in...

A library system lends books for periods of 21 days. This policy is being reevaluated in view of a possible new loan period that could either lengthen or shorten the 21-day period. To aid in this decision, book-lending records were consulted to determine the loan periods actually used by the patrons. A random sample of eight records revealed that following loan periods in days: 21, 15, 12, 24, 20, 21, 13, and 16. Do the actual loan periods differ from 21 days?

a. State your null and alternative hypothesis.
b. Conduct the appropriate test and state your conclusion. c. What is the 95% confidence interval? (If applicable)

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