Test the following claim. Determine the null hypothesis, alternative hypothesis, test statistic, critical value, conclusion regarding the null hypothesis, and final conclusion which adress the original claim.
A manual states that in order to be a hit, a song should be no longer that three minutes and thirty seconds (or 210 seconds). A simple random sample of 50 current hit songs resluts in mean length of 252.5 sec. Suppose the population standard deviation of song length is 54.5 sec. Employ a 0.01 significance level to test the claim that the sample is from population of songs with a mean greater than 210 sec. What do these results consider about the advice given in the manual?
Determine the value of the test statistic?