2 4 5 15 17118 19120 21 22 23 24 25 Song Length (M200) Math 200 Students Were Asked To Name A Song That Always Brings You Joy. The Lengths Of The 41 Songs Were Recorded In Minutes) And Their Summary Statistics Shown Below. Summary Statistics: Column Mean Variance Std. Dev. Std.Err. Median Range Min Max Q1 Q3 Song Length 41 3.9056911 0.98142514 0.99066903

 

43 17-18 120 1 21 22 23 124 125 Song Length (M200) Math 200 students were asked to name a song that always brings you joy. The lengths of the 41 songs were recorded (in minutes) and their summary statistics shown below. Summary statistics: Std. err. Column 11 Mean Variance Std. dev. Song Length 41 3.9056911 0.98142514 0.99066903 0.15471651 Q3 Median Range Min Max Q1 3.55 4.4 2.65 7.05 3.3333333 4.3666667 a) Assuming this sample represents the general population, what is the typical length of songs that bring people joy? Comment on your choice of "typical". b) ( How well does your choice for part (a) represent "typical"? Explain. (this is where you talk about spread). Construct a 95% confidence interval for the mean song length. Explain what this interval tells us. d) Put parts (b) and (c) together to summarize what these statistics tell us about the typical song length. add speaker notes