Hw 8 q 2

2. (12.5 pts) Marcelina has over 500 songs on her mobile phone, and she wants to estimate the average length of the songs (in minutes). She takes a random sample of 23 songs on her phone and calculates a sample mean of 3.4 minutes and a standard deviation of 0.72 minutes. The song lengths in the sample were approximately normally distributed with no outliers. Based on this sample, what is the 99% condence interval for the mean length (in minutes) of the songs on her phone