Question

many students arrived late to carmens orchestra class yesterday. carmens friend ethan, who plays the cello, claimed that violinists were more likely than cellists to arrive late. carmen surveyed all the violinists and cellists in her orchestra class to find out if ethan was correct. complete the paragraph to explain if the data that carmen collected supports ethans claim. approximately of the violinists arrived late. approximately of the cellists arrived late. so, the data ethans claim.

Explanation:

Step1: Calculate the proportion of violinists who arrived late

The total number of violinists is \(8 + 13=21\). The number of late - arriving violinists is \(13\). The proportion is \(\frac{13}{21}\approx0.62\) (or \(62\%\))

Step2: Calculate the proportion of cellists who arrived late

The total number of cellists is \(3+6 = 9\). The number of late - arriving cellists is \(6\). The proportion is \(\frac{6}{9}=\frac{2}{3}\approx0.67\) (or \(67\%\))

Answer:

Approximately \(62\%\) of the violinists arrived late. Approximately \(67\%\) of the cellists arrived late. So, the data does not support Ethan's claim.