Discuss the below:
Q: The security department of a state university is planning its budget for the next year. In estimating the man-hours for security during university sponsored music concerts, the average length of music concerts is needed. A random sample from thirty-six security departments at universities was taken and the sample mean length of concerts was 160 minutes. Suppose the population standard deviation is 45 minutes. A 95 percent confidence interval for the true mean duration of music concerts is