Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.A manual states that in order to be a hit, a song must be no longer than three minutes and 30 seconds (or 210 seconds). A simple random sample of 50 current hit songs results in a mean length of 255.0 sec. Assume the population standard deviation of song lengths is 55.5 sec. Use a 0.05 significance level 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?
