The playing times of songs are normally distributed. Listed below are the playing times (in minutes) of 5 songs from a random sample. Use a 0.05 significance level to test the claim that the songs are from a population with a standard deviation less than 1 minute.

7   4  3  3  7

 What are your null hypothesis and alternative hypothesis?

   Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?

 What is the test statistic?  

 What is your conclusion? Why? (Show work)