In the KLF Publications manual ?How to Have a Number One the Easy Way,? it is stated that a song ?must be no longer than three minutes and thirty seconds? (or 210 seconds). A simple random sample of 40 current hit songs results in a mean length of 252.5 sec and a standard deviation of 54.5 sec. (The songs are by Timberlake, Furtado, Daughtry, Stefani, Fergie, Akon, Ludacris, etc.) Use a 0.05 significance level and the accompanying Minitab display to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual?

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Unless specified by your instructor, use either the traditional method or P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), critical value(s), and state the final conclusion that addresses the original claim.

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MINITAB